Understand transformations in the plane

Practice Questions

HiSet: High School Equivalency Test: Math › Understand transformations in the plane

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1

Consider Square . Perform two dilations successively, each with scale factor ; the first dilation should have center , the second, . Call the image of under these dilations ; the image of , , and so forth.

Which of the following diagrams correctly shows Square relative to Square ?

2

Consider regular Hexagon ; let and be the midpoints of and . Reflect the hexagon about , then again about . With which of the following points does the image of under these reflections coincide?

3

What is the result of reflecting the point over the y-axis in the coordinate plane?

4

Translation

The graph on the left shows an object in the Cartesian plane. A transformation is performed on it, resulting in the graph on the right.

Which of the following transformations best fits the graphs?

5

Consider regular Hexagon ; let and be the midpoints of and . Reflect the hexagon about , then again about . Which of the following clockwise rotations about the center would result in each point being its own image under this series of transformations?

6

What is the result of rotating the point about the origin in the plane by ?

7

Consider Square . Perform two dilations successively, each with scale factor ; the first dilation should have center , the second, . Call the image of under these dilations ; the image of , , and so forth.

Which of the following diagrams correctly shows Square relative to Square ?

8

Nonagons

Examine the figures in the above diagram. Figure 2 is the result of performing which of the following transformations on Figure 1?

9

Letters

Examine the figures in the above diagram. The figure at right is the result of performing which of the following transformations on the figure at left?

10

Letters

Examine the figures in the above diagram. The figure at right is the result of performing which of the following transformations on the figure at left?

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