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3 Tri Geometry
Name: _________________________________
Review for Final Exam
Hour_________
1. If ROS is a right angle and TOR is a straight angle, then angle TOS is what kind of angle?
A.
B.
C.
D.
Obtuse
Straight
Right
Acute
S
T
O
R
2. 1 and 2 are vertical angles. 1 and 3 are a linear pair. If m2 = 80, what is m3?
A. 80
B. 100
C. 10
D. 180
⃗⃗⃗⃗⃗⃗ bisects ABC and mABD = 50. What is mABC?
3. 𝑩𝑫
A. 25
B. 50
C. 100
D. 130
4. What kind of angles are shown in the picture below?
l
A. Alternate Exterior Angle
m
B. Alternate Interior Angles
n
C. Consecutive Interior Angle
D. Corresponding Angles
5. In the figure, l
n and r is a transversal. Which of the following is not necessarily true?
r
A. 8  2
B. 5  3
C. 7  4
D. 2  6
1
4
5
8
2
3
l
6
7
n
6. Using the figure below, determine which two lines are parallel and state how you know that is
true. (Note, the picture is not drawn to scale.)
A. m||a because the alternate interior angles are congruent.
B. t||h because the consecutive interior angles are supplementary.
C. m||a because the vertical angles are congruent.
D. t||h because the corresponding angles are congruent.
7. Using the figure below, determine the m  2.
A. 59o
B. 90o
C. 121o
D. 180o
8. Find m  1 in the figure below.
A.
B.
C.
D.
180
720
900
1080
PQ
P
and
are parallel.
Q
72
R
RS
S
1
9. Which would be sufficient to prove that l
n?
r
A.
B.
C.
D.
1  6
2  7
m4 + m7 = 180
m3 + m6 = 180
1
4
5
8
2
3
l
6
7
n
10. Find the values of x and y.
A. x = 78, y = 24
B. x = 78, y = 102
C. x = 102, y = 78
D. x = 24, y = 102
11. Refer to the figure at the right: Find mC  .
A. 15
B. 17
C. 100
D. 148
12. Find the value of x.
A. 200
B. 300
C. 400
D. 500
13. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 42
degrees and its 2 congruent sides measure 21 units?
A. 42°
42°
B. 138°
21in
21 in
C. 48°
D. 69°
14. What is the value of x in the picture to the right?
A.
B.
C.
D.
144.7 cm
17.3 cm
18 cm
20 cm
x cm
17.3 cm
18 cm
15. Find the perimeter of the figure in #14.
A.
B.
C.
D.
53.3 cm
180 cm
52.6 cm
55.3 cm
Find the m3 for each picture.
16.
A.
B.
C.
D.
40°
45°
50°
95°
18. What is the measure of x in the picture below?
A.
B.
C.
D.
8°
20°
60°
180°
17.
A.
B.
C.
D.
79°
39°
51°
56°
19. Which side lengths could possibly form a triangle?
A.
B.
C.
D.
1 inch, 2 inch, 3 inch
3 inch, 4 inch, 5 inch
2 inch, 3 inch, 6 inch
7 inch, 8 inch, 16 inch
20. What is the converse of “If it’s Thanksgiving, then the trimester is over”?
A.
B.
C.
D.
The trimester is over and it is Thanksgiving.
If it’s not Thanksgiving, then the trimester is not over.
If the trimester isn’t over, then it’s not Thanksgiving.
If the trimester is over, then it’s Thanksgiving.
21. What is the converse of the following statement:
“If consecutive interior angles are supplementary, then the lines are parallel.”?
A.
B.
C.
D.
The consecutive interior angles are supplementary when the lines are parallel.
If the lines are not parallel, then the consecutive interior angles are not supplementary.
If the lines are parallel, then the consecutive interior angles are supplementary.
If the consecutive interior angles are not supplementary, then the lines are not parallel.
22.
23.
A.
B.
C.
D.
𝐶 ≅ 𝐹
̅̅̅̅
𝐶𝐵 ≅ ̅̅̅̅
𝐹𝐸
̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐷𝐸
̅̅̅̅ ≅ 𝐹𝐷
̅̅̅̅
𝐶𝐴
A.
B.
C.
D.
𝐶 ≅ 𝐹
̅̅̅̅ ≅ ̅̅̅̅
𝐶𝐵
𝐹𝐸
̅̅̅̅ ≅ 𝐹𝐷
̅̅̅̅
𝐶𝐴
𝐴 ≅ 𝐷
24. What additional information would NOT prove that the triangles are congruent?
A.
B.
C.
D.
̅ ≅ 𝑁𝐿
̅̅̅̅
𝐽𝐿
̅̅̅
𝐾𝐽 ≅ ̅̅̅̅̅
𝑀𝑁
K  M
J  N
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