ES
Date:
T PRE
P
T
Name:
13
Properties of Triangles
and Four-sided Figures
Multiple Choice
25
Suggested Time:
30 min
(5 2 points 10 points)
Fill in the circle next to the correct answer.
The figures in this section are not drawn to scale.
1.
Find the unknown angle measure in the triangle.
a
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57°
A 74°
2.
B
106°
49°
C 123°
D 131°
Find the unknown angle measure in the triangle.
28°
b
A 17°
B
62°
C 118°
D 152°
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3.
Date:
Triangle XYZ is an isosceles triangle. Find the measure of ⬔c.
Y
24°
c
38°
X
A 142°
5.
C 104°
120°
D 80°
Which of these sets of side lengths of a triangle is possible?
A 4 ft, 9 ft, 5 ft
B
C 6 in., 7 in., 8 in.
D 3 m, 6 m, 3 m
5 cm, 5 cm, 10 cm
Triangle ABC is a right triangle and BCD is an equilateral triangle.
Find the measure of ⬔DAC.
B
D
A
A 30°
126
C
B
60°
C 120°
D 50°
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4.
B
Z
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Date:
Short Answer
(5 2 points 10 points)
Write your answer in the space provided.
The figures in this section are not drawn to scale.
6.
ABC and BCD are triangles. Find the unknown angle measure.
B
52°
a
65°
A
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7.
30°
C
D
Triangle ABC is a right triangle.
A
69°
B
a.
Complete with , , or .
m⬔BAC
b.
C
m⬔ACB
What is the difference in the angle measures of ⬔BAC and ⬔ACB?
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Name:
8.
Date:
Triangle ABC is a right triangle. Triangle BDE is an equilateral triangle and
Triangle CDE is an isosceles triangle. Find the measure of ⬔a.
B
D
9.
E
ABCD is a parallelogram where AB ⲐⲐ DC. Triangle BCE is an isosceles
triangle. Find the measure of ⬔ABE.
A
B
56°
84°
D
128
C
C
E
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a
A
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10.
Date:
ABCD is a rhombus. Triangle ABE is an isosceles triangle. CE is a line
segment. Find the measures of ⬔a and ⬔b.
E
a
b
A
B
76°
C
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D
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Date:
Extended Response
(Question 11: 2 points, Question 12: 3 points)
Solve. Show your work.
11.
ABC and EFG are triangles. Find the sum of the measures of ⬔a, ⬔b,
⬔c, and ⬔d.
A
E
35°
a
F
73°
C
b
d
c
B
12.
ABCE is a trapezoid where AB ⲐⲐ EC. ABDE is a rhombus. Find the measure
of ⬔EBC.
B
A
110°
55°
E
130
D
C
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G
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