G.CO.A.2: Identifying Transformations 2

Transcription

1 G.CO.A.2: Identifying Transformations 2 1 In the accompanying diagram, ABC is similar to but not congruent to A B C. 3 In the diagram below, A' B' is the image of AB under which single transformation? Which transformation is represented by A B C? 1) rotation 2) translation 3) reflection 2 In the accompanying diagram, which transformation changes the solid-line parabola to the dotted-line parabola? 4) glide reflection 4 The transformation of ABC to AB C is shown in the accompanying diagram. 1) translation 2) line reflection, only, only 4) line reflection or rotation This transformation is an example of a 1) line reflection in line about point A 3) dilation 1

2 5 As shown in the accompanying diagram, the star in position 1 on a computer screen transforms to the star in position 2. 7 The accompanying diagram shows the transformation of XYZ to X Y Z. This transformation is best described as a 1) line reflection 2) translation This transformation is an example of a 1) line reflection 8 In the diagram below, which transformation was used to map ABC to A B C? 6 The graph below shows JT and its image, J T, after a transformation. 3) reflection 4) glide reflection Which transformation would map JT onto J T? 1) translation 2) glide reflection centered at the origin 4) reflection through the origin 2

3 9 As shown on the graph below, R S T is the image of RST under a single transformation. 11 The graph below shows two congruent triangles, ABC and A'B'C'. Which transformation does this graph represent? 1) glide reflection 2) line reflection 10 In the diagram below, under which transformation will A B C be the image of ABC? Which rigid motion would map ABC onto A' B' C'? 1) a rotation of 90 degrees counterclockwise about the origin 2) a translation of three units to the left and three units up 3) a rotation of 180 degrees about the origin 4) a reflection over the line y = x 12 A picture held by a magnet to a refrigerator slides to the bottom of the refrigerator, as shown in the accompanying diagram. 1) rotation 2) dilation 4) glide reflection This change of position is an example of a 1) translation 2) dilation 4) reflection 3

4 13 In the accompanying diagram, A B C is the image of ABC and A B C ABC. 15 In the diagram below, which single transformation was used to map triangle A onto triangle B? Which type of transformation is shown in the diagram? 1) line reflection 14 In the accompanying diagram, figure B is the image of figure A. 1) line reflection 3) dilation 16 Which transformation is illustrated by the accompanying diagram? Which type of transformation was performed? 2) translation 4) reflection 1) translation 2) reflection 4

5 17 The accompanying diagram shows a transformation. 19 Which type of transformation is illustrated in the accompanying diagram? Which transformation performed on figure 1 resulted in figure 2? 1) rotation 2) reflection 3) dilation 18 In the diagram below, under which transformation is X Y Z the image of XYZ? 2) reflection 4) rotation 20 Which transformation of OA would result in an image parallel to OA? 2) reflection 1) a translation of two units down 2) a reflection over the x-axis 3) a reflection over the y-axis 4) a clockwise rotation of 90 about the origin 5

6 21 On the set of axes below, rectangle ABCD can be proven congruent to rectangle KLMN using which transformation? 23 Triangle JTM is shown on the graph below. 1) rotation 2) translation 3) reflection over the x-axis 4) reflection over the y-axis 22 In the diagram below, line m is parallel to line n. Figure 2 is the image of Figure 1 after a reflection over line m. Figure 3 is the image of Figure 2 after a reflection over line n. Which transformation would result in an image that is not congruent to JTM? 1) r y = x 2) R 90 3) T 0, 3 4) D 2 Which single transformation would carry Figure 1 onto Figure 3? 1) a dilation 2) a rotation 3) a reflection 4) a translation 6

7 24 The diagram below shows AB and DE. 25 Trapezoid QRST is graphed on the set of axes below. Under which transformation will there be no invariant points? 1) r y = 0 Which transformation will move AB onto DE such that point D is the image of point A and point E is the image of point B? 1) T 3, 3 2) D 1 2 3) R 90 4) r y = x 2) r x = 0 3) r (0,0) 4) r y = x 26 Triangle ABC is graphed on the set of axes below. Which transformation produces an image that is similar to, but not congruent to, ABC? 1) T 2,3 2) D 2 3) r y = x 4) R 90 7

8 27 Which image represents a line reflection? 1) 2) 3) 29 Triangle ABC has vertices at A( 5,2), B( 4,7), and C( 2,7), and triangle DEF has vertices at D(3,2), E(2,7), and F(0,7). Graph and label ABC and DEF on the set of axes below. Determine and state the single transformation where DEF is the image of ABC. Use your transformation to explain why ABC DEF. 4) 28 Ms. Brewer s art class is drawing reflected images. She wants her students to draw images reflected in a line. Which diagram represents a correctly drawn image? 1) 2) 3) 4) 8

9 ID: A 1 ANS: 4 REF: a 2 ANS: 4 REF: a 3 ANS: 4 ( is also a correct response REF: ge 4 ANS: 2 REF: a 5 ANS: 4 REF: a 6 ANS: 2 REF: ge 7 ANS: 4 REF: a 8 ANS: 4 REF: ge 9 ANS: 3 REF: ge 10 ANS: 1 REF: ge 11 ANS: 4 REF: geo 12 ANS: 1 REF: a 13 ANS: 3 REF: a 14 ANS: 1 REF: a 15 ANS: 2 REF: geo 16 ANS: 1 REF: a 17 ANS: 1 REF: a 18 ANS: 3 REF: ge 19 ANS: 4 REF: a 20 ANS: 1 REF: geo 21 ANS: 3 REF: geo 22 ANS: 4 REF: geo 23 ANS: 4 REF: ge 24 ANS: 4 REF: ge 25 ANS: 3 REF: ge 26 ANS: 2 REF: ge 27 ANS: 1 REF: a 28 ANS: 3 REF: a 29 ANS: G.CO.A.2: Identifying Transformations 2 Answer Section REF: geo r x = 1 Reflections are rigid motions that preserve distance, so ABC DEF. 1