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

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Geometry Unit 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 c. not a congruence transformationb. rotation d. translation

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2. 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. c.

b. d.

ID: X

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Find the endpoints of the image of AB.

3. Reflect AB over the x-axis and rotate 90q about the origin.

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

Short Answer

4. Describe the transformation ..

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

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

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

8. The point is rotated about the origin, and then the image is reflected across the line . What are the coordinates of the final image ?

ID: X

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

9.

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

ID: X

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

12. Find the translation that moves trapezoid 1 to trapezoid 2 and the translation that moves trapezoid 3 to trapezoid 4.

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° clockwise

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) o (x � 2, y � 2) and reflect in the x-axis.

(5, -2)