Name: ________________________ Class: ___________________ Date: __________ ID: X

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Geometry Chapter 4 Practice Test

Your test will consist of 16 problems. You will have 10 multiple choice problems, 5 short answer and 1 bonus problem.

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

Identify the type of congruence transformation.

1.

a. reflection b. rotation c. not a congruence transformation d. translation

Find the endpoints of the image of AB.

2. Reflect AB over the x-axis and then rotate 90 about the origin.

a. A”(4, –4), B”(5, –1) b. A”(–4, –4), B”(–5, –1) c. A”(–4, 4), B”(–5, 1) d. A”(–1, 5), B”(–4, 4)

ID: X

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3. Graph the figure and its image under the given reflection.

AB with endpoints A(8, 3) and B(1, 8) reflected in the y-axis.

a. b.

c. d.

4. Apply the dilation to the polygon with the given vertices. Name the coordinates of the image points.

a. b.

c. d.

ID: X

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5. What is the scale factor from Quad ABCD to Quad A’B’C’D’

a. –0.5 b. –2 c. 2 d. 0.5

Short Answer

6. Find the coordinates of the image of the point when it is reflected across the line .

ID: X

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7. What are coordinates for the image of quadrilateral ABCD after the translation of

?

8. What are the coordinates for the image of after a rotation about the origin and a translation of

?

Identify the motion as a translation, reflection, or rotation.

9.

ID: X

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Graph each figure and its image under the given translation.

10. JK with endpoints J(3, 1) and K(2, 4) under the translation right two units and down three units

11. XYZ with vertices X(0, 4), Y(1, 6), and Z(2, 1) under the translation (x, y) (x 1, y 2).

ID: X

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12. Find the translation that moves trapezoid 1 to trapezoid 2 and the translation that moves trapezoid 3 to trapezoid 4. Write the rule for each translation.

Find the coordinates of the vertices after a reflection over the x-axis. Then graph the reflected image.

13.

ID: X

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Find the coordinates of the vertices of the figure after the given rotation about the origin. Then graph the rotation image.

14. 180° counterclockwise

Find the vertices of the image after the composite transformation.

15. Triangle DEF has vertices of D(2, –3), E(4, –5), and F(3, –4). Translate along (x, y) (x 2, y 2) and then reflect in the x-axis.