Assessment 12: Transformations

A rectangle is plotted on the coordinate plane below. Which image shows a 180° rotation about the origin?

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• Reflection

• Rotation

• Translation

• Dilation

• Reflection

• Rotation

• Translation

• Dilation

Draw a triangle with vertices at A(1,6), B(6,6) and C(11,1). Then translate the triangle 2 units to the left and 3 units down. What are the coordinates for C'?

• C'(9,4)

• C'(13,-2)

• C'(13, 4)

• C'(9,-2)

The image of point Q after a dilation of 4 is (16,20). What was the original location of point Q?

• (2,4)

• (4, 5)

• (64,80)

• (8, 10)

A geometric transformation is described algebraically as (x, y) ----> (3x, 3y). Which BEST describes this transformation?

• A translation 3 units up and 3 units to the right

• A translation 3 units down and 3 units to the left

• A 180 degree rotation centered at the point (3, 3)

• A dilation with scale factor 3 centered at the origin

In the diagram below, Triangle A'B'C' is the result of a transformation of Triangle ABC. Which algebraic representation BEST describes this transformation?

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A line segment below goes through the points (2,4) and (-4, -8). Rotating the line by 90∘ clockwise will result in a line that contains which two points?

• (-2, 4) and (4, -8)

• (-2, -4) and (-4, -8)

• (4, -2) and (-8, 4)

• (-4, 2) and (8, -4)

Triangles ABC and A'B'C' are examples of a translation?

• Yes

• No

Triangle HFG is rotated 90 degrees counterclockwise about the origin to form triangles ABC as shown. Which angle ABC must necessarily measure the same as angle F?

• Angle A

• Angle B

• Angle C