Regents Exam Questions G.CO.A.2: Identifying Transformations 2Page 1
Name: ______
1In the accompanying diagram, is similar to but not congruent to .
Which transformation is represented by ?
1) / rotation2) / translation
3) / reflection
4) / dilation
2In the accompanying diagram, which transformation changes the solid-line parabola to the dotted-line parabola?
1) / translation2) / line reflection, only
3) / rotation, only
4) / line reflection or rotation
3In the diagram below, is the image of under which single transformation?
1) / dilation2) / rotation
3) / translation
4) / glide reflection
4The transformation of to is shown in the accompanying diagram.
This transformation is an example of a
1) / line reflection in line2) / rotation about point A
3) / dilation
4) / translation
5As shown in the accompanying diagram, the star in position 1 on a computer screen transforms to the star in position 2.
This transformation is best described as a
1) / line reflection2) / translation
3) / rotation
4) / dilation
6The graph below shows and its image, , after a transformation.
Which transformation would map onto ?
1) / translation2) / glide reflection
3) / rotation centered at the origin
4) / reflection through the origin
7The accompanying diagram shows the transformation of to .
This transformation is an example of a
1) / line reflection2) / rotation
3) / translation
4) / dilation
8In the diagram below, which transformation was used to map to ?
1) / dilation2) / rotation
3) / reflection
4) / glide reflection
9As shown on the graph below, is the image of under a single transformation.
Which transformation does this graph represent?
1) / glide reflection2) / line reflection
3) / rotation
4) / translation
10In the diagram below, under which transformation will be the image of ?
1) / rotation2) / dilation
3) / translation
4) / glide reflection
11The graph below shows two congruent triangles, ABC and A'B'C'.
Which rigid motion would map onto ?
1) / a rotation of 90 degrees counterclockwise about the origin2) / 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
12A picture held by a magnet to a refrigerator slides to the bottom of the refrigerator, as shown in the accompanying diagram.
This change of position is an example of a
1) / translation2) / dilation
3) / rotation
4) / reflection
13In the accompanying diagram, is the image of and .
Which type of transformation is shown in the diagram?
1) / line reflection2) / rotation
3) / translation
4) / dilation
14In the accompanying diagram, figure B is the image of figure A.
Which type of transformation was performed?
1) / dilation2) / translation
3) / rotation
4) / reflection
15In the diagram below, which single transformation was used to map triangle A onto triangle B?
1) / line reflection2) / rotation
3) / dilation
4) / translation
16Which transformation is illustrated by the accompanying diagram?
1) / translation2) / reflection
3) / rotation
4) / dilation
17The accompanying diagram shows a transformation.
Which transformation performed on figure 1 resulted in figure 2?
1) / rotation2) / reflection
3) / dilation
4) / translation
18In the diagram below, under which transformation is the image of ?
1) / dilation2) / reflection
3) / rotation
4) / translation
19Which type of transformation is illustrated in the accompanying diagram?
1) / dilation2) / reflection
3) / translation
4) / rotation
20Which transformation of would result in an image parallel to ?
1) / a translation of two units down2) / a reflection over the x-axis
3) / a reflection over the y-axis
4) / a clockwise rotation of 90° about the origin
21On the set of axes below, rectangle ABCD can be proven congruent to rectangle KLMN using which transformation?
1) / rotation2) / translation
3) / reflection over the x-axis
4) / reflection over the y-axis
22In 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 single transformation would carry Figure 1 onto Figure 3?
1) / a dilation2) / a rotation
3) / a reflection
4) / a translation
23Triangle JTM is shown on the graph below.
Which transformation would result in an image that is not congruent to ?
1) /2) /
3) /
4) /
24The diagram below shows and .
Which transformation will move onto such that point D is the image of point A and point E is the image of point B?
1) /2) /
3) /
4) /
25Trapezoid QRST is graphed on the set of axes below.
Under which transformation will there be no invariant points?
1) /2) /
3) /
4) /
26Triangle ABC is graphed on the set of axes below.
Which transformation produces an image that is similar to, but not congruent to, ?
1) /2) /
3) /
4) /
27Which image represents a line reflection?
1) /2) /
3) /
4) /
28Ms. 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) /
29Triangle ABC has vertices at , , and , and triangle DEF has vertices at , , and . Graph and label and on the set of axes below. Determine and state the single transformation where is the image of . Use your transformation to explain why .
Regents Exam Questions G.CO.A.2: Identifying Transformations 2
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(2) rotation is also a correct response
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Reflections are rigid motions that preserve distance, so .
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