Transformations Review

Graph with endpoints at S(4, 1) and T(-4, 0) and its image after the composition.

Rotation: 270° counterclockwise about the origin

Reflection: in the line y = -x

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The minute hand on a clock rotates in clockwise direction. If the clock was laid on a coordinate plane with its center at the origin and the minute hand currently had an endpoint of (-4, -6), what will the coordinates of the endpoint be in 15 minutes?

• (-6, 4)

• (6, 4)

• (6, -4)

• (4, 6)

You want to enlarge a picture by a factor of 4 from its current size of 5 inches by 7 inches. What is the size of the enlarged picture?

• 9 in. by 11 in.

• 9 in. by 28 in.

• 20 in. by 28 in.

• 20 in. by 11 in.

A railway turntable is used to turn locomotives around or quickly change their direction in small spaces. A locomotive enters the turntable on track 2, is rotated 180° counterclockwise, and exits the turntable. What track does the train leave on?

• Track 1

• Track 2

• Track 3

• Track 4

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

• 30; enlargement

• 30; reduction

You are going to Store E and your friend is going to Store F. Where on line n should you park to minimize the distance you both will walk?

• point Y

• point G

• point P

• point I

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

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You are rotating a figure 152° from G to G". Find the measure of the acute angle formed by intersecting lines so that G can be mapped to G" using two reflections.

• 107 degrees

• 76 degrees

• 62 degrees

• 38 degrees

An image of a celebrity is going to be used on a promotional billboard. The person is 6.25 feet tall in real life, and 21.875 feet tall on the billboard. What is the scale factor of this dilation?

• 0.29

• 15.625

• 14.0625

• 3.5