Name: _______________________________________ Date: __________________________ Period: ___________

1. Which statement is not true about perpendicular lines? [G.CO.1]

a. Two lines that intersect to form a 90⁰ angle.

b. Two lines that have the same slope.

c. Two lines that have negative reciprocal slopes.

d. None of the above.

2. How many of each geometric figure is shown below? [G.CO.1]

GSE GeometryUnit 1– TransformationsStudy Guide

a.

b. 10 points, 4 rays, and 2 line segments

c. 10 points, 4 rays, and 1 line segment

d. 6 points, 3 rays, and 3 line segments

e. 6 points, 4 rays, and 2 line segments

3. Looking at the figures shown below, which two sides are parallel to each other?

[G.CO.1]

a.

b.

c.

d.

e.

4. Name the angle that is marked in the figure shown below. [G.CO.1]

GSE GeometryUnit 1– TransformationsStudy Guide

a.

b.

c.

d.

e.

5.

6.

7. The vertices of a quadrilateral are Name the vertices of the image reflected over the y-axis. [G.CO.2]

a.

b.

c.

d.

8. Under the transformation , which property is not preserved? [G.CO.2]

a. Angle Measure

b. Orientation

c. Parallelism

d. Distance

9. Write a rule to describe the transformation that is a reflection over the x-axis. [G.CO.2]

a.

b.

c.

d.

e.

10. The right figure is a transformation of the left figure. Tell whether their orientations are the same or opposite. Then classify the transformation. [G.CO.2]

a.

b. Opposite orientation, rotation

c. Opposite orientation, reflection

d. Same orientation, reflection

e. Same orientation, rotation

11. Which of the following transformations is illustrated by the graph below? [G.CO.2]

a. Rotation of about the origin

b. Rotation of counterclockwise about the origin

c. Rotation of counterclockwise about the origin

d. Rotation of counterclockwise about the origin

12. The image of (-4, 8) after a dilation with respect to the origin is (-12, 24). What is the scale factor of the dilation? [G.CO.2]

a.

b. 2

c. 3

d. 4

e. 5

13. A polygon is transformed according to the rule . Every point of the polygon moves four units in which direction? [G.CO.2]

a.

b. Right

c. Left

d. Up

e. Down

14. If is , which point on the accompanying set of axes represents the translation ? [G.CO.2]

a.

b. A

c. B

d. C

e. D

15. The following rule is provided: . What is the resulting transformation?

[G.CO.2]

a. The original object is dilated by a scale factor of 2.

b. The original object is reduced by a scale factor of .

c. The original object is shrunk vertically.

d. The original object is shrunk horizontally.

16. Find the image of after two reflections, first over the line y = 2, and then over the line x = 2. [G.CO.2.5]

a.

b.

c.

d.

e.

17. TWO transformation of a polygon that do not preserve orientation is: [G.CO.4]

a.

b. Translation

c. Dilation

d. Rotation

e. Reflection

18. Describe the following translation from to . [G.CO.4]

a. to

b. to

c. to

d. to

19. Which transformation produces a figure that is stretched image of the original figure?

[G.CO.4]

a.

b. Translation

c. Dilation

d. Reflection

e. Rotation

20. Use the graph below to complete the sentence. Figure is the image of figure under a rotation ___________________. [G.CO.4]

a.

b. counterclockwise about the origin

c. about the origin

d. clockwise about the origin

e. clockwise about the origin

21. The following chart shows the coordinates for a quadrilateral and its image after a single transformation. Identify the single transformation that was performed on the original shape to produce the transformed image. [G.CO.4]

Original Shape

Image

(2, -4)

(2, 4)

(5, -1)

(5, 1)

(-1, -3)

(-1, 3)

(-4, -5)

(-4, 5)

a. Quadrilateral is rotated 90 degrees.

b. Quadrilateral is reflected across the x-axis.

c. Quadrilateral is dilated by a scale factor of 2.

d. Quadrilateral is translated 2 units left and 4 units up.

22. Suppose is transformed so that image of is . Write a general rule that describes the transformation. [G.CO.5]

a.

b.

c.

d.

23. In each figure, Determine whether the third image is a rotation image of the first figure. Write yes or no. Explain your answer. [G.CO.5]

a. No, it is a reflection followed by a reflection.

b. No, it is a rotation, followed by a reflection.

c. No, it one reflection followed by a translation.

d. Yes, it is one rotation after another with respect to the two parallel lines.

24. Which sequence of transformations maps to ? [G.CO.5]

a.

b. Translate 1 unit right, 5 units down, then reflect across the y-axis.

c. Reflect across the x-axis, then reflect across the y-axis.

d. Translate 4 unit left, then reflect across the x-axis.

e. Translate 5 units up, 1 unit left, reflect across the x-axis.

25. Rotate the figure clockwise about the origin.[G.CO.5]

a.

b.

c.

d.

e.

26. Graph the reflection of WXYZ across the x-axis? [G.CO.5]

a.

b.

c.

d.

27. What is the difference between dilation and translation? [G.CO.4]

a. Dilation makes the figure larger or smaller while translation slides all points of the figure to another position.

b. Dilation makes the figure larger while translation makes the figure smaller.

c. Dilation makes the figure larger or smaller while translation changes the figure to another shape.

d. Dilation changes the figures shape to another figure while translation slides all the points of the figure to another position.