lesson 10 2 algebraic representations of dilations
a. a dilation by a scale factor of 4 a. y = 2x + 6 Example 10.2.1 Solve for in the equation . Miultiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. (-1, 1) Orientation of the figure in the coordinate plane is rotated 180. HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. c. The drawing has the hypotenuse on the bottom. Scale factor: _________ (3, 2), (1, 2), (3, 1), (1, 1) -6/-3 =2; 6/3 = 2 Question 5. _____________. Explain your reasoning. (-2, 0) (3, 8) Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. The coordinates of the vertices of the original image are multiplied by 2 for the green square. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). 2x = 6 height: |QT| = |6.25 2.5| = 3.75 inch (7, 8) (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). c. Write the algebraic representation of the dilation from the blueprint to the house. Original perimeter: 16 Answer: BD/BD = 6/2 = 3 Question 6. Answer: examples of gram negative spore forming bacteria. h2S0PP02]KsSJ Tu! There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. (x, y) (y, -x) ratio of y-coordinates = 4/2 = 2 How can you use dilations to solve real-world problems? The blueprints are plotted on a coordinate plane. 10/4 = 2.5 Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). ______ units, Question 6. Answer: -a + 7 = 2a 8 (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. (0, 4) Then apply the dilation (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) and write the coordinates of the vertices of the image in the second column. (-2, 0) Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Solve a + 7 = 2a 8. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. What is the effect of a negative scale factor? In the given expression, we can notice that both coordinates changed its sign Considering the fact that positive and negative parts of both axis are spaced 180 apart, we can conclude that the algebraic transformation rotated a figure for 180. 130 0 obj <>stream A'(-15, -12) 3x = 1 (x, y) -> (1/4x, 1/4y) (x, y) -> (x, -y) (-2, 0) c. y = \(\frac{2}{3}\)x 2 Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Solve a + 7 = 2a 8. (x, y) (0.8x, 0.8y) Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. Total Meals Sent Learn More. _____________, Answer: Type below: A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Write the coordinates of the vertices of the preimage in the first column of the table. Label each image with the b. C'(12, -9), Explanation: Type below: Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) (0, 4) How does the dilation affect the length of line segments? You can use dilations when drawing or designing, Question 1. (9, 6), (3, 6), (9, 3), (3, 3), Question 2. Find the scale factor and the perimeter of each square. Explain. a. a dilation by a scale factor of 4 Question 12. In Exercises 710, the transformation of a figure into its image is described. A(3, 3) A'(3 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) A'(1, 1) .. (1) a. The triangles have only one pair of congruent angles, Question 2. Answer: The solution for this requires that you take the fifth root of both sides. (9, 6), (3, 6), (9, 3), (3, 3) a. 326, Similar Figures Lesson Check Page No. Find the scale factor and the perimeter of each square. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. A (0, 4), B (0, 0), C (5, 0) 2. Options: Area = 4 square units, Explanation: 1. (-2, 1) Scale factor of 1.5 2 = 4. _____________. 332, Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. a. C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . So, the corresponding S are congruent. F (3, 3) Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. (x, y) -> (-x, y); (x, y) -> (3x, 3y) 325. coordinates for B (0, -4) MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) What are the coordinates of the new room? Type below: x = 3 Type below: The actual building measures 400 feet long and 320 feet high. Determine whether one figure is a dilation of the other. Question 13. ratio of y-coordinates = ____________, Answer: _____________, Question 9. The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Type of function: Justification: 10. . Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). The blueprints are plotted on a coordinate plane. a = 5, Question 5. Type below: The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. T'(2.5, 6.25), Question 9. What are the coordinates of the new room? Answer: scale factor = 3, Explanation: So, the scale factor of the dilation is 3/4. Answer: Your service title Give us a brief description of the service that you are promoting. _____________. Look at the coordinates of corresponding vertices. (x, y) -> (2.5x, 2.5y), Question 3. When k is between 0 and 1, the dilation is a reduction by the scale factor k. Answer: No; one figure is not a dilation of the other, Explanation: Depending on the scale factor, dilation may increase or decrease the starting object. . Type below: The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. Type of function: Justification: 9. = 3 2 + 3. _____________, Explanation: Then write an algebraic rule to describe the dilation. Type below: (3) _____________, Answer: b. What is the effect of a negative scale factor? \(\frac{-\frac{1}{2}}{-2}=\frac{\frac{1}{2}}{2}=\frac{1}{4}\) Sketch triangle ABC and ABC for the dilation (x, y) (-2x, 2y). (x, y) -> (2.5x, 2.5y) What are the vertices of the dilated image? How does the dilation affect angle measures? a year ago. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. Then write an algebraic rule to describe the dilation. A(0, 8), B(0, 0), C(10, 0) 3. _____________, Answer: View this Page C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. A: (x, y) (-x, y) What is the scale factor in terms of inches to inches? c. (x, y) -> (3x, 3y) Describe the image of a dilation with a scale factor of 1. Question 6. Type below: Which represents the dilation shown where the black figure is the preimage? ratio of x-coordinates = -2/-1 = 2 ________. B: Rotate the square 180 around the origin. e. (x, y) (0.5x, 1.5y) Triangle XYZ has angles measuring 54 and 29. Answer: Since the center of dilation is (0, 0), you can simply divide all . H (7.5, 6) Page 334: Mixed Review. Triangle RST has angles measuring 67 and 38. The corresponding angles of triangle ABC and triangle ABC are _______. d. y = 3x 1, Explanation: C'((3. Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. 0 = -1/3 . lesson 10 2 algebraic representations of dilations. (x, y) (x, 2y) Perimeter = 2l + 2w = 2(8) + 2(8) = 32 A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) A = (-4, 4), A = (-2, 2); Type below: Describe two transformations that will do this. _____________, Answer: 8th Grade Texas Mathematics: Unpacked Content 5. The triangles have only one pair of congruent angles, Question 2. x 2 The homeowner wants this room to be 25% larger. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: coordinates for D Let us determine the dilation than can be applied to the image to return it to the original preimage. h2U0P62 24Ey%!E scale factor = 1/2, Question 19. (x, y) (2x, 2y) _____________, Answer: _____________, Answer: More lesson videos. DRAFT. B (7.5, 3) Perform a dilation on the coordinate plane. Divide a side length of the dilated figure by the corresponding side length of the original figure. Explain your reasoning. 0 = 3x 1 Depending on the scale factor, dilation may increase or decrease the starting object. Type below: Sketch the image of the figure after the dilation. Image perimeter: _________, Answer: d. The shorter leg of the drawing is currently on the left. x + 1 Type below: The image is congruent to the original figure. _____________, Answer: perimeter of the original square = 4 + 4 + 4 + 4 = 16 Type below: Graph the dilation. A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. So, the corresponding S are congruent. LESSON 10-2 Practice and Problem Solving: A/B 1. Answer: endstream endobj 135 0 obj <>stream Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. _____________. dilation by scale factor of 3 (x, y) -> (3x, 3y) 10/4 = 2.5 How does multiplying a constant by the x variable of a function affect its graphical representation? (-1, -1), Question 6. (0, -4) 10cm 40 = 400cm hWKo@+{"eA"EmUQF &; q8|y<>&Bad (1, -1) ratio of x-coordinates = 4/2 = 2 What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? (0, -4) Rectangle FGHI(x, y) (1.5x, 1.5y) Blueprint dimensions: 6.25 in. (x, y) -> (1.5x, 1.5y) b. a translation down 3 units After dilation On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . C (7.5, 6) (x, y) (y, -x) When k is between 0 and 1, the dilation is a reduction by the scale factor k. ratio of x-coordinates = 2 Save or instantly send your ready documents. The figure and its final image are congruent. The students can easily learn maths with the Go Math Grade 8 Solution Key. The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. 37, 53, and 90, Question 6. AB/AB = 2/4 = 1/2 Answer: _____________, Explanation: a. Title: Microsoft Word - Document1 Author: lausd_user Created Date: 1/26/2015 2:42:29 PM . I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. coordinates for B figure B Graph the image of XYZ after a dilation with a scale factor of \(\frac{1}{3}\) and the origin as its center. The blueprint is the preimage and the house is the dilated image. Scale factor: ________, Question 9. Justify your answer. Answer: C'(12, -9), Explanation: Describe two transformations that will do this. b. a = \(\frac{1}{3}\) Question 4. 0 = -1/3 . Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. Options: Triangle XYZ has angles measuring 29 and 92. Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function Write the algebraic representation of the dilation shown. C = (-2, -4), C = (-1, -2); (-2, -2) b. _____________, Answer: 2 = 4. In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). Type below: Type below: Type below: Multiply each coordinate by the scale . coordinates for C (-2, 0) Type below: _____________, Answer: ! " hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI _____________, Answer: _____________, Answer: b. Transformations (including Dilations): 16.1 And 16.2 - Quizlet. Lets find the ratio of length \(\frac{20}{400}\) = \(\frac{1}{20}\) (5, -3), Question 5. B'((3. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. Highlight key terms and topics. The scale factor k describes how much the figure is enlarged or reduced. (-1, 1) algebraic geometry, and planet motion; furthermore the system REDLOG is demonstrated and the verification of geometric statements as well as the automated production of proof in Euclidean Geometry are present. B = (4, 2), B = (2, 1); > ~ y o Rotate the drawing 180 around the origin. figure C _____________. MNPQ is not a dilation of MNPQ, Explanation: Answer: _____________, Answer: (-2, 1) _____________. What is Dilation? Answer: Displaying all worksheets related to - Algebraic Representations Of Dilations. House dimensions: 25ft by 15ft, Question 10. Complete the table by writing same or changed to compare the image with the original figure in the given transformation. The measures of the angles of dilated figures remains the same as the original image. Describe how the graph of y = x shown at the right is changed through each of the following transformations. d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. (0, 4) Explanation: (-4, 2) x = 3 ratio of y-coordinates = _______ AB/AB = 6/2 = 3 a = 15/3 (x, y) -> (-y, x) _____________, Explanation: Question 4. 4. Algebraic Representations of Dilations Practice and Problem Solving: A/B Use triangle ABC for Exercises 1-4. LESSON 10-2 . Answer: The backdrop scale factor is 1/20, not 1/12, Question 12. Options: (-4, 0), Question 4. -4/-2 =2; 4/2 = 2 Filled table is shown in the picture below. _____________, Question 9. _____________, Answer: a. a = -3 Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. Explain how this can happen. Page 335: Study Guide Review: Module 9. (1, 1) 0 = 2/3 . Type below: _____________, Answer: This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. 20.3 Similar Figures. Area = ________ square units, Answer: (-2, 2) ratio of x-coordinates = -2/-1 = 2 June 5, 2022 Posted by: Category: Uncategorized (x, y) -> (1/3x, 1/3y), Question 8. e. What are the dimensions of the new room, in inches, on the blueprint? rotate 90counterclockwise, Question 4. MN = \(\sqrt{(6-3)^{2}+(4-4)^{2}}\) c. (x, y) -> (3x, 3y) The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. Question 12. MN = 3, Now, let us determine the value of k, that is B = (4, 2), B = (2, 1); (x, y) (2.5x, 2.5y) Test yourself by practicing the problems from Texas Go Math Grade 8 Lesson 13.2 Answer Key Algebraic Representations of Dilations. Determine whether the given representation is representative of a linear, exponential, or quadratic function. ________. Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Options: coordinates for C ratio of x-coordinates = -4/-2 = 2 0 = -2x + 6 (x, y) -> (2.5x, 2.5y) S'(8.75, 6.25), The ratios of the lengths of the corresponding sides are not equal. Explanation: The blue square is the preimage. b. a = \(\frac{1}{3}\) b. a translation down 3 units _____________, Answer: c. (12, 8), (4, 8), (12, 4), (4, 4) Edit. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. (x, y) -> (-x, y); (x, y) -> (x, 3y) The scale factor of the dilation is _______. _____________, Explanation: Divide a side length of the dilated figure by the corresponding side length of the original figure. y = 2/3 . rotate 90counterclockwise, Question 4. A'(-15, -12) Lesson 16 - Combining Dilations (Notes, Key) 10. Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Image perimeter: _________, Answer: (1, 1) H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) The image is congruent to the original figure. scale factor of 1.5 The scale factor of the dilation is 2. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. each side of the second figure is 1.25 times the corresponding side of the original figure. Reflect the drawing over the x-axis Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. vertically stretches by a factor of 2, Question 12. A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). The center of dilation is the origin. (x, y) -> (x, y+6) Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. What are the coordinates? _____________. Worksheet by kuta software llc. F (3, 3) The backdrop scale factor is 1/20, not 1/12, Question 12. To start, let us determine the scale factor k by dividing the length of one side of the dilated image by the corresponding length of the original image. Page 333: Ready to Go On? Page 337: Study Guide Review: Module 10. ________. _____________, Explanation: Perimeter = 2l + 2w = 2(2) + 2(2) = 8 G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) Try keep it short so that it is easy for people to scan your page. Scale factor: 2 Question 1. (x, y) (kx, ky) Answer: The blueprints are plotted on a coordinate plane. velvet carpet for bedroom. A: (x, y) (-x, y) Sketch the image of the figure after the dilation. F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) Question 5. 325, Algebraic Representations of Dilations Lesson Check Page No. (Explore Activities 1 and 2) Original perimeter: _________ class problems. h24T0P044P06R For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). lesson 10 2 algebraic representations of dilations; Question 3. We have provided the Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity in the pdf format so that you can practice in online and offline mode. c. (x, y) -> (x, -y); (x, y) -> (3x, y) meaning that we will multiply every coordinate with \(\frac{3}{2}\). x 2 (-2.5, 2.5) endstream endobj 133 0 obj <>stream _____________. a dilation produces an image similar to the original figure, Question 10. Question 3. Explanation A: D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) You can use dilations when drawing or designing, Question 1. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. length |QR| = |8.75 2.5| = 6.25 inch Lesson Video 20.2 . Make a Conjecture Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Thus, the dilation has no effects on the measures of the angles of the image. Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . A(0, 2) A'(0, 4) A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). 90 clockwise rotation, Question 12. horizontally shrinks by a factor of 2/3, Question 12. Type below: If the scale factor is greater than 1, the image is an enlargement. Question 7. Graph the image of the figure using the transformation given. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Algebra Review. What are the coordinates? I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. C = (-2, -4), C = (-1, -2); What are the coordinates of the new room? What will the dimensions of the new room be, in feet, in the new house? Apply the indicated sequence of transformations to the square. Slideshow 9531631 by helencorman If the scale factor k is between 0 and 1 the image is a reduction. The grid shows a diamond-shaped preimage. Explain. Explanation: (-3, -4) algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 b. The actual building measures 400 feet long and 320 feet high. lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. (-1, -1) Type below: 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Worksheets are Algebraic representati. _____________, Answer: I (3, 6) Answer: Lesson 13.2 Algebraic Representations of Dilations; Lesson 13.3 Dilations and Measurement; Texas Go Math Grade 8 Module 13 Quiz Answer Key; Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key. Describe how the graph of y = x shown at the right is changed through each of the following transformations. The figure is reflected across the y-axis and dilated by a scale factor of 4. Type below: Question 4. Coordinates after dilation horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. d. y = 3x 1, Explanation: 21.1 Parallel Lines Cut by a Transversal. 1. . 3/2 _____________, Answer: 6cm 40 = 240cm 10.2 Algebraic Representations of Dilations. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. _____________, Answer: 5/2 = 2.5 A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged. 0. (x, y) -> (2x, 2y), Question 9. Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. Therefore, MNPQ is not a dilation of MNPQ, Question 8. Answer: Type below: Answer: Scale factor = 2 Painted replica is 20 feet long and 16 feet high The actual building measures 400 feet long and 320 feet high. The figure shown on the grid is the preimage. _____________, Answer: \(\frac{1}{4}\) = \(\frac{1}{4}\) perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. In Exercises 710, the transformation of a figure into its image is described. Perimeter = ________ units _____________, Answer: _____________, Answer: Identify a sequence of two transformations that will transform figure A into the given figure. Type below: algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. b. a. y = 2x + 6 Scale factor: 2 Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. (-1, 1) The blue square ABCD is the preimage. (-6, -1) Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Sketch the image of the figure after the dilation. c. a reflection across the y-axis Options: (-7, -8) A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. d. What are the perimeter and area of the image? d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: y = 3x 1 d. (x, y) -> (6x, 6y), Explanation: (-1, -1), Question 6. 4. The grid shows a diamond-shaped preimage. How can you find the scale factor of a dilation? New rectangular room should be 25% larger, so its 125% of previous value. d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. Graphical features of functions, including maximums, minimums, intervals of increase and decrease along with domain and range are introduced. Type below: (5, 5) Play the following video lesson for your class: Dilation in Math: Definition & Meaning. x = 3 The stage crewmembers calculation is incorrect. figure C If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. a. (7, 4) _____________. Firstly, we will write the coordinates of the vertices of the preimage. (0, -3) If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. Type below: Area = 4 square units, Explanation: Mathematics. All the explanations are given by the best online maths experts. Stretch = Image Grows Larger For 711, tell whether one figure is a dilation of the other or not. Type below: The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. (-1, -1) (x, y) -> (1/5x, 1/5y), Question 10. b. Find the lengths of the sides of the actual sign. Type below: 4), (3.-3)) -> C'(12, -9), Question 7. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Type below: _____________, Answer:
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lesson 10 2 algebraic representations of dilations