Measurement and Geometry

Practice Questions

HiSet: High School Equivalency Test: Math › Measurement and Geometry

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1

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?

2

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 ?

3

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?

4

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?

5

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?

6

Nonagons

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

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

A sphere has surface area . Give its volume.

9

Two of a triangle's interior angles measure and , respectively. If this triangle's hypotenuse is long, what are the lengths of its other sides?

10

The graphic below shows a blueprint for a swimming pool.

Swimming pool dimensions

If the pool is going to be 66 inches deep, how many cubic feet of water will it be able to hold? (1 ft = 12 in)

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