Name
Class
Date
Chapter 8 Review
Do you know HOW?
Find the value of x. Express your answer in simplest radical form.
1.
2.
3.
4.
5.
6.
7. A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft.
The ramp will start 6 ft from the door. To the nearest tenth of a foot, how long
will the ramp be?
Use the figure at the right for Exercises 8–10. Write each ratio.
8. sin B
9. cos B
10. tan A
Given the lengths of the sides of a triangle, identify the triangle as acute,
right, or obtuse.
11. 9, 40, 41
12. 10, 16, 20
13. 12, 15, 18
For each pair of numbers, find a third whole number such that the three
numbers form a Pythagorean triple.
14. 33, 55
15. 42, 58
16. 60, 65
Find the value of x. Round lengths to the nearest tenth and angle measures to
the nearest degree.
17.
18.
Name
Class
Chapter 8 Review (continued)
Form K
What is the description of each angle as it relates to the diagram?
19.
1
20.
2
21.
3
22.
4
Use the information given to solve.
23. In ∆XYZ, m X = 70, m Y = 40, and YZ = 10. To the nearest tenth,
what is XZ?
24. In ∆GHJ, GH = 8, HJ = 10, and m G = 120. To the nearest tenth,
what is m J?
25. In ∆ABC, m A = 40, AB = 10, and AC = 8. To the nearest tenth,
what is BC?
26. In ∆PQR, PQ = 50, QR = 30, and PR = 60. To the nearest tenth,
what is m R?
Find the values of x and y. Round to the nearest tenth.
27.
28.
Chapter 9 Review
Form K
Do you know HOW?
1. In the figure at the right, ∆A′B′C′ is a translation
image of ∆ABC. What is a rule for the translation?
2. Is a rotation a rigid motion? Explain.
Date
Find the coordinates of the vertices of each image.
3. T<–1, 2>(MATH)
4. Rx-axis(MATH)
5. r(90°, O)(MATH)
6. D2(MATH)
7. (Ry-axis ○ T<0, 2>)(MATH)
Write a single transformation rule that has the same effect as
each composition of transformations on the given figure.
8. T<–3, 4> ○ T<1, –2>
9. Ry = –2 ○ Ry = 2
10. Rx = 1 ○ Ry = –1
Identify the rigid motion that maps the solid-line figure to
the dashed-line figure.
11.
12.