Explanation A: Answer: A (3, 3) The grid shows a diamond-shaped preimage. Page 333: Ready to Go On? What is the effect on the figure when k > 1? D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) Options: G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) Perimeter = 8 units Explain your reasoning. MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) c. (x, y) (x, 2y) Algebraic Representations of Dilations. 8cm 40 = 320cm The image is congruent to the original figure. Type below: endstream endobj 134 0 obj <>stream a. Graph the image. After the sequencing of transformations, reflection over the y-axis. Area = ________ square units, Answer: If the scale factor is greater than 1, the image is an enlargement. One inch on the blueprint represents how many inches in the actual house? _____________. Type below: ratio of x-coordinates = 2 Type below: After dilation: _____________, Answer: 3x = 1 d. a = 15, Explanation: b. translation 2 units left and 2 units up, Question 6. _____________, Answer: Dilate each figure with the origin as the center of dilation. _____________, Answer: Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) a. _____________, Answer: Notes. b. (x, y) -> (1/4x, 1/4y) Type below: x = 2 . 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. Dilate the image by a factor of 1/4 and reflect it back across the y-axis. The figure and its final image are congruent. 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. a. Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. Type below: (-1, 1) Describe two transformations that will do this. Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. lesson 10 2 algebraic representations of dilations class problems. On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . c. a = 5 each side of the second figure is 1.25 times the corresponding side of the original figure. perimeter of the original square = 6 + 6 + 6 + 6 = 24 In Exercises 710, the transformation of a figure into its image is described. The blue square is the preimage. ________ feet, Question 9. Coordinates after dilation C = (-2, -4), C = (-1, -2); A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). (7, 8) lesson 10 2 algebraic representations of dilations 12th June 2022 . 324, Algebraic Representations of Dilations Page No. Question 2. coordinates for C The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. MN = 4.5, Length of MN, given M'(3, 4), N'(6, 4). d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. When taking . Type below: _____________, Explanation: (0, 4) Q'(2.5, 2.5), What are the vertices of the dilated image? Question 4. Mathematics. You can use dilations when drawing or designing, Question 1. _____________, Answer: Type below: _____________, Answer: Type below: *Click on Open button to open and print to worksheet. _____________, Answer: The corresponding angles of triangle ABC and triangle ABC are _______. This will be followed by the. Then write an algebraic rule to describe the dilation. _____________, Answer: e. What are the dimensions of the new room, in inches, on the blueprint? dilation by scale factor of 3 (x, y) -> (3x, 3y) Answer: Scale factor = 2 326, Similar Figures Lesson Check Page No. 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). The TEKS targeted in these notes are: 8.10(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two dimensional shapes on a coordinate plane 8.10(B) differentiate between transformations that preserve congruence and those that do not 8.10(C) explain the effect of . Scale factor: 2 Lesson 2: 20.2 Algebraic Representations of Dilations. _____________, Answer: Explanation: -a + 7 = 2a 8 Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. (x, y) (-x, -y) ratio of y-coordinates = 4/2 = 2 (x, y) (x, 2y) (-1, 1) (x, y) -> (x+6, y-3) A dilation with center (0, 0) and scale factor k is applied to a polygon. y = -1/3 . (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Edit. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. To create the actual sign shown, the drawing must be dilated using a scale factor of 40. vertically stretches by a factor of 2, Question 12. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) Grade: 9, 10, or 11 . (x, y) -> (-x, y); (x, y) -> (x, 3y) Perimeter = 2l + 2w = 2(8) + 2(8) = 32 (-2, 0) Type below: The actual building measures 400 feet long and 320 feet high. Answer: Question 7. 1/3x = 1 3a = 15 If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) 20.2 Algebraic Representations of Dilations. c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. (-6, -2) _____________, Answer: A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). Mod 20-2 Class Problems. Graph the image of the figure using the transformation given. lesson 10 2 algebraic representations of dilations. (x, y) (\(\frac{2}{3}\)x, \(\frac{2}{3}\)y). Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). D. Sketch the image after the dilation on the coordinate grid. Type below: Answer: (x, y) -> (1/4x, 1/4y) Identify the scale factor used in each dilation. lesson 10 2 algebraic representations of dilations; (-2, 1) The actual building measures 400 feet long and 320 feet high. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Type below: f& Both Triangle S have Angle S of measures 38, 67 and 75. The triangles have only one pair of congruent angles, Question 2. figure D 21/7 = 3 mm Type below: What are the coordinates of the new room? _____________, Answer: c. (12, 8), (4, 8), (12, 4), (4, 4) Apply the indicated sequence of transformations to the square. Find the lengths of the sides of the actual sign. Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). You will have an extra practice for every lesson in the IM math program. coordinates for A coordinates for A The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Scale factor = 2 x = 3 x + 1 Type below: Question 3. )X}Dh=64z!vv 8 (x, y) -> (x+6, y-3) a. a = -3 Perimeter = ________ units _____________, Answer: Options: 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. A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. original coordinates The scale factor k describes how much the figure is enlarged or reduced. After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. (-2, 0) The actual building measures 400 feet long and 320 feet high. The figure is reflected across the y-axis and dilated by a scale factor of 4. scale factor = 3, Explanation: In the given expression, we can notice that the x and y coordinates are replaced and that the x coordinate changed its sign. Answer: vertically stretches by a factor of 2, Question 12. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. _____________, Explanation: What is the algebraic representation of this dilation? In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. Dilation is defined as a transformation that changes the size of a figure. The angle measures are the same (-5, 0) (-4, -2), Question 12. The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). endstream endobj 132 0 obj <>stream Type below: relay for life dates 2022. 0. _____________, Answer: What dilation can you apply to the image to return it to the original preimage? Scale factor = 2 If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. b. Algebraic Representations of Dilations - 2. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. ratio of y-coordinates = 2, Explanation: MN = \(\sqrt{(3)^{2}+(0)^{2}}\) Two triangles, Triangle 1 and Triangle 2, are similar. Type below: When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. (0, -4) B: Rotate the square 180 around the origin. 325, Algebraic Representations of Dilations Lesson Check Page No. a. The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. Image perimeter: 48, Explanation: The ratios of the lengths of the corresponding sides are not equal. Original perimeter: _________
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