AnswersMathematics IISimilarity, Right Triangle Trigonometry, and Proof: Part One

Similarity, Right Triangle Trigonometry, and Proof: Part One — Test Answers

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1
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Given that r is parallel to s and q is a transversal, we know that angle 3 is congruent to angle 6 by the [________].

A
vertical angles theorem
B
corresponding angles theorem
C
alternate exterior angles theorem
D
alternate interior angles theorem
2
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What is the value of x ?

A
x is equal to 22
B
x is equal to 11 point 2 5
C
x is equal to 2 point 2 5
D
x is equal to 13
3

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

A
AB is equal to 85
B
AB is less than 27 or AB is greater than 81
C
AB is equal to 25
D
27 is less than AB comma AB is less than 81
4

Which angle is an adjacent interior angle to angle JKM ?

A
angle MKL
B
angle KLM
C
angle LMK
D
angle JKL
5

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

A
given
B
transitive property
C
alternate interior angles theorem
D
converse alternate interior angles theorem
6

What is m angle ABC ?

A
m angle ABC is equal to 60 degrees
B
m angle ABC is equal to 75 degrees
C
m angle ABC is equal to 45 degrees
D
m angle ABC is equal to 15 degrees
7

Lines AC and RS can best be described as

A
parallel.
B
skew.
C
intersecting.
D
perpendicular.
8

What expression represents the measure of angle cap x ?

A
180 minus 2 A
B
A over 2
C
90 minus A
D
2 A
9

What is true about the sides of KNM ?

A
KN is equal to 1 half KM
B
KN plus NM is equal to KM
C
KM is equal to 2 times NM
D
KN is equal to NM
10

What is the value of d ?

A
d is equal to 155
B
d is equal to 55
C
d is equal to 75
D
d is equal to 125
11

What is the value of x ?

A
x is equal to 37
B
x is equal to 35
C
x is equal to 28
D
x is equal to 21
12

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

A
6 cm and 7 cm
B
7 cm and 2 cm
C
5 cm and 8 cm
D
8 cm and 9 cm
13

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

A
m angle cap A is equal to 20 degrees and m angle cap c is equal to 20 degrees
B
m angle cap A is equal to 15 degrees and m angle cap c is equal to 35 degrees
C
m angle cap A plus m angle cap c is equal to 50 degrees
D
m angle cap A plus m angle cap b is equal to 180 degrees
14

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the left of the transversal is labeled 65 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.
B
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.
C
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the right of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 115 degrees.
D
Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 65 degrees.
15

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 base angle and measures 36 degrees .
C
Angle cap l is a vertex angle and measures 36 degrees .
D
Angle cap l is a vertex angle and measures 72 degrees .
16

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 .
17

The total number of degrees in the center is 360 degrees If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

A
144 degrees
B
108 degrees
C
72 degrees
D
54 degrees
18

If A is parallel to b and e is parallel to f , what is the value of y ?

A
88
B
92
C
91
D
87
19

What is the value of y ?

A
y is equal to 100
B
y is equal to 120
C
y is equal to 40
D
y is equal to 80
20

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

A
over left right arrow FS
B
over left right arrow EF
C
over left right arrow EA
D
over left right arrow FG
E
over left right arrow ER

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