chapter 9 1 In the diagram, figure RQTS is the image of figure DEFC after a rigid motion. A B C D
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1 Name: ate: 1 In the diagram, figure RQTS is the image of figure EF after a rigid motion. Name the image of F. T R Q S 2 In the diagram, figure RQTS is the image of figure EF after a rigid motion. Name the image of. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 17
2 chapter9 3 Which graph shows T< -3.3,(!::.)? Education,Inc.or its affiliates..jirights Reserved. Page 2 of17
3 chapter9 c Education,Inc.or its affiliates..jirights Reserved. Page 3 of17
4 chapter9 4 Which graph shows T< -1.2,(!::.)? Education,Inc.or its affiliates..jirights Reserved. Page 4 of17
5 chapter9 5 escribe in words the translation of X represented by the translation rule. 2 units to the left and 8 units up 2 units to the right and 8 units down 8 units to the left and 2 units down 2 units to the right and 8 units up 6 Use a translation rule to describe the translation of X that is 5 units to the left and 7 units up. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 17
6 7 What is a rule that describes the translation? 8 The vertices of a triangle are P( 8, 6), Q(1, 3), and R( 6, 3). Name the vertices of. 9 The vertices of a triangle are P( 3, 8), Q( 6, 4), and R(1, 1). Name the vertices of. 10 Write a rule in function notation to describe the transformation that is a reflection across the x-axis. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 17
7 chapter9 11 Which graph shows a triangle and its reflection image over the x-axis? c Education, Inc. or its affiliates..ji Rights Reserved. Page 7 of17
8 chapter9 12 Which type of isometry is the equivalent of two reflections across intersecting lines? glide reflection rotation reflection none of these 13 The glide reflection maps the point P to (4, 3). Find the coordinates of P. ( 2, 0) (1, 3) (0, 2) ( 8, 4) opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 17
9 chapter9 14 Find the glide reflection image of the black triangle for the composition (R,_l T<o.-1>). c Education, Inc. or its affiliates..ji Rights Reserved. Page 9 of17
10 chapter9 15 The dashed-lined figure is a dilation image of EFGH. Is an enlargement or a reduction? What is the scale factor n of the dilation? n = 6; enlargement n = 3; enlargement n = 3; reduction n = ; reduction 16 The dashed-lined figure is a dilation image of with center of dilation P (not shown). Is an enlargement, or a reduction? What is the scale factor n of the dilation? reduction; n = 2 reduction; n = enlargement; n = 2 reduction; n = opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 17
11 17 The dashed triangle is a dilation image of the solid triangle. What is the scale factor? 2 18 What composition of rigid motions and a dilation maps EFGH to the dashed figure? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 17
12 19 What composition of rigid motions and a dilation maps EFGH to the dashed figure? 20 What is a rule that describes the translation that maps triangle onto triangle? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 12 of 17
13 21 What is a rule that describes the translation that maps QRST onto? 22 Triangle has vertices, and.. What are the coordinates of the vertices of triangle? 23 Point has coordinates (4, 1). What are the coordinates of? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 13 of 17
14 24 What are the coordinates of triangle () when reflected across the y-axis? 25 Triangle RST has vertices, and. Find the coordinates for the image of each vertex for the given rotation., and, and, and, and opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 14 of 17
15 26 What are the vertices of the image of triangle for the glide reflection? Triangle has vertices. 27 Which is a congruence transformation that maps triangle to triangle? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 15 of 17
16 28 Is an enlargement or a reduction? What is the scale factor n of the dilation? enlargement, 1.5 enlargement, 0.5 reduction, 1.5 reduction, Quadrilateral WXYZ has coordinates W( 3, 2), X(1, 3), Y(2, -2), and Z( 1, 2). What are the coordinates of the vertices of? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 16 of 17
17 30 Triangle has vertices ( 8, 3), ( 4, 6), and (2, 0). If the triangle is reflected across the x-axis and dilated by a scale factor of 0.5 with respect to the origin, what are the coordinates of the vertices of triangle? 31 Which sequence of transformations maps triangle to triangle? 32 re the figures below similar? Explain. Yes, there is a similarity transformation: translation, then rotation. Yes, there is a similarity transformation: translation, then dilation. No, there is not a similarity transformation between the figures. Yes, there is a similarity transformation: translation, rotation, then dilation. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 17 of 17
Practice 8-1. Translations. Use arrow notation to write a rule that describes the translation shown on each graph.
ame lass ate Practice 8-1 Translations Use arrow notation to write a rule that describes the translation shown on each graph. 1.. 3. Pearson ducation, Inc., publishing as Pearson Prentice Hall. ll rights
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