Triangles — Test Answers

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1
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What is the measure of angle STR ?

A
38 degrees
B
48 degrees
C
24 degrees
D
76 degrees
3

Which statement about the angles is true?

A
Angle cap w is the smallest angle.
B
Angle cap y is the largest angle.
C
Angle cap w is greater than angle cap y .
D
Angle cap x is smaller than angle cap w .
4

Which statement regarding the interior and exterior angles of a triangle is always true?

A
A remote interior angle is congruent to the exterior angle.
B
An exterior angle is supplementary to a remote interior angle.
C
An exterior angle is supplementary to the adjacent interior angle.
D
An adjacent interior angle is supplementary to a remote interior angle.
5

What is the value of x ?

A
x is equal to 2 point 2 5
B
x is equal to 11 point 2 5
C
x is equal to 13
D
x is equal to 22
6

Which angle is an adjacent interior angle to angle JKM ?

A
angle LMK
B
angle KLM
C
angle MKL
D
angle JKL
7

Based on the diagram, which expresses all possible lengths of segment AB ?

A
AB is equal to 25
B
AB is equal to 85
C
AB is less than 27 or AB is greater than 81
D
27 is less than AB comma AB is less than 81
8

If triangle RST is an acute triangle, then m angle cap s must be

A
greater than 90 degrees and less than 180 degrees .
B
equal to 100 degrees .
C
equal to 90 degrees .
D
less than 90 degrees .
9

Triangle JKL is isosceles. The measure of angle cap j is 72 degrees and the measure of angle cap k is 36 degrees Which statement describes angle cap l ?

A
Angle cap l is a base angle and measures 72 degrees .
B
Angle cap l is a vertex angle and measures 72 degrees .
C
Angle cap l is a vertex angle and measures 36 degrees .
D
Angle cap l is a base angle and measures 36 degrees .
11

If triangle ABC has a 130 degrees angle at vertex cap b , which statement must be true?

A
m angle cap A plus m angle cap c is equal to 50 degrees
B
m angle cap A is equal to 20 degrees and m angle cap c is equal to 20 degrees
C
m angle cap A is equal to 15 degrees and m angle cap c is equal to 35 degrees
D
m angle cap A plus m angle cap b is equal to 180 degrees
12

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

A
AC plus AB is less than CB
B
AC plus AB is greater than CB
C
AC plus CB is less than AB
D
AC plus CB is greater than AB
13

If NP is greater than MP , which must be true?

A
Segment OP is longer than segment MQ .
B
The measure of angle cap q equals the measure of angle cap o .
C
Angle cap o is larger than angle cap q .
D
Segment MN has the same length as segment MP .
14

What expression represents the measure of angle cap x ?

A
180 minus 2 A
B
90 minus A
C
2 A
D
A over 2
15

Which statement regarding the diagram is true?

A
m angle WXY is less than m angle YZX
B
m angle WXY plus m angle XYZ is equal to 180 degrees
C
m angle WXY plus m angle YXZ is equal to 180 degrees
D
m angle WXY is equal to m angle YXZ
17

What is true about the sides of KNM ?

A
KN is equal to 1 half KM
B
KN is equal to NM
C
KM is equal to 2 times NM
D
KN plus NM is equal to KM
18

Given the angles in the diagram, who is closer to the treasure chest and why?

A
Mia is closer because her distance from the chest is 100 meters.
B
Nigel is closer because his distance to the chest is opposite the larger angle.
C
Nigel is closer because his distance from the chest is 100 meters.
D
Mia is closer because her distance to the chest is opposite the smaller angle.
19

Which statement about the sides and angles is true?

A
m angle cap g is greater than m angle cap p
B
m angle cap p is greater than m angle cap g
C
HG is equal to PN
D
HK is equal to MN
20

Which statements regarding the diagram of triangle EBC are true? Choose three correct answers.

A
angle BCF and angle DEC are supplementary angles.
B
angle BEC is a remote interior angle to exterior angle BCF .
C
angle DEC is an exterior angle.
D
angle ABE and angle EBC are supplementary angles.
E
angle BEC is an exterior angle.

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