Angle Relationships
Triangles
Congruence
Similarity
Trigonometry
Multiplying Binomials and Factoring
100
1. Name the angle relationship of angles 4 and 2.
Corresponding angles
100
6. Find the measure of angle A.
55o
100
11. Use the figure to complete each statement.
A. a)vertical angles b)△ACB≅△DEC
B. a)vertical angles b)△BAC≅△EDC
B
100
16. Given the following similar triangles, which of the following could be used to solve for x?
a.
?/21=35/50
b.
?/21=50/35
c.
?/50=35/21
b.
?/21=50/35
100
21. If
sin A = a/c
, then cos B = ?
a/c
100
26. Multiply
(3x-8)(6x-4)
18x^2-60x+32
200
2. Solve for x.
x = 10
200
7. Find the measure of the angle indicated.
65o
200
12. ABC≅EDC. Find x.
x = 19
200
17. Solve for x.
x = 32
200
22. Find x to the nearest tenth place.
12.2
200
27. Factor completely:
10x^2-31x+22
(10x-11)(x-2)
300
3. Solve for the angle indicated in bold.
95o
300
8. Find the measure of angle x.
74o
300
13. Which theorem can be used to prove that the triangles are congruent?
AAS
300
18. Solve for the length of BC.
196
300
23. Calculate the missing angle measure and round to the nearest degree.
52 ^o
300
28. Factor completely:
36x^2-25
(6x-5)(6x+5)
400
4. In the diagram below, what is the value of angle 2?
18o
400
9. Which side length is impossible for this triangle?
4, 8, 12, or 16?
16
400
14. Which of the following drawings can you NOT prove the triangles are congruent? Select all that apply.
C and D
400
19. State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
D
400
24. From a point on the ground 47 feet from the foot of a tree, the angle of elevation of the top of the tree is 35º. Find the height of the tree to the nearest foot.
33 feet
400
29. Factor completely:
3x^2-15x
3x(x-5)
500
5. Find A
80o
500
10. Which angle is the smallest?
A, B, or C?
C
500
15. What info is needed for these triangles to be congruent by ASA?
500
20. Determine which of the following pairs of triangles are NOT similar. Select all that apply.
C
500
25. Find the area of the right triangle. (Hint: The area of a triangle is A=b•h/2 where b=HI and h=GH)
A = 107 m2
500
30. Factor completely:
4x^2-8x-60
4(x-5)(x+3)