GeometryChapter 9 Review Packetjlister, F209

Use compass and straightedge when necessary.

Determine which transformation/s the following pairs of figures represent. If a reflection, draw the line of reflection. If a rotation, draw the point of rotation.

1.! ! ! ! ! ! 2.

3.

5.

4.

6.

Continued...

7.

8.

Translations and Vectors

9. Graph , A(-2, 4), B(5, 1), and C(-1, -6). Graph the image of the triangle using the given rule .

x

y

10. Graph the vectors (5, 6), (-2, 8), and (6, -1). Determine the magnitude and direction of each.

11. Translate the figure 4 units to the left and 3 units down.

x

y

x

y

12. Use a translation matrix to translate the figure by the vector (3, 5). Show matrix addition.

Reflections

Reflect the figures as directed.

13. Over the x-axis!! ! ! ! ! 14. Over the y = x line

x

y

x

y

x

y

15. Use compass and straightedge to construct the reflection of across the y = 2 line.

Rotations

Rotate the figures as directed.

16. About the origin 90˚ clockwise.

A

B

C

x

y

x

y

17. About the origin 45˚ counter-clockwise

A

B

2

2

18. Rotate the figure 90˚ counter-clockwise about the origin, then reflect it over the x-axis.

Dilations

Dilate the figures as directed.

19. Scale factor of 2 from point P!! ! 20. Scale factor of from point Q

A

B

C

P

Q

21. Dilate the figure -3 through the origin.

22. Dilate the figure by 2 from the origin, then reflect it over the y = x line.

Symmetry

23. The two types of symmetry are _______________ and ________________.

24. Determine if the following figures have symmetry. If so, tell what kind. If point symmetry, what is the degree of rotational symmetry.

Old stuff...

25. Solve for the area of the triangle.

26. Determine the value of x.

27. Determine the value of y.

23.5 in.

22.5 in. 18 in.

25 cm

18 cm

23 cm

x

56˚

6.5 ft

y

46˚