AnswersAZ-Geometry A MA201Isosceles Triangles

Isosceles Triangles — Unit test Answers

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Which diagram shows possible angle measures of a triangle?

A
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
Option A
B
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
Option B
C
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
Option C
D
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Option D
2
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In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

A
QS = 13
B
5 < QS < 8
C
QS > 13
D
3 < QS < 13
3

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Question illustration
A
∠RXZ and ∠YXZ
B
∠PXQ and ∠RXS
C
∠YZX and ∠UZT
D
∠WZX and ∠XYZ
4

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

A
x – 1 < n < 3x + 5
B
n = 3x + 5
C
n = x – 1
D
3x + 5 < n < x – 1
5

Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

Question illustration
A
29°
B
32°
C
58°
D
64°
6

The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?

A
27°
B
36°
C
54°
D
72°
7

A line extends from a side of a triangle.

Question illustration
A
a remote interior angle
B
an adjacent interior angle
C
an exterior angle
D
a complementary angle
8

In the triangles, HG = MP and GK = PN.

Question illustration
A
mG > mP
Option A
B
mP > mG
Option B
C
HK = MN
D
HG = PN
9

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

A
right
B
scalene
C
obtuse
D
equilateral
10

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

Question illustration
A
16 mm
B
24 mm
C
32 mm
D
48 mm
11

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 120 degrees
Option D
12

Consider the triangle.

Question illustration
A
mA = 95°, mB = 53°, mC = 32°
Option A
B
mA = 32°, mB = 53°, mC = 95°
Option B
C
mA = 43°, mB = 32°, mC = 95°
Option C
D
mA = 53°, mB = 95°, mC = 32°
Option D
13

In the triangles, and .

Question illustration
A
mC = mS
Option A
B
mC < mS
Option B
C
mC > mS
Option C
D
mC ≥ mS
Option D
14

A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees.

Question illustration
A
h = 1.5
B
h = 9
C
h = 10
D
h = 13.5
15

Consider the triangle shown.

Question illustration
A
Line segment P Q, line segment R Q, line segment R P
Option A
B
Line segment R Q, Line segment P Q, line segment P Q
Option B
C
Line segment R Q, line segment R P, line segment P Q
Option C
D
Line segment R P, line segment P Q, line segment R Q
Option D

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