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

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1
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Given the information in the diagram, which theorem best justifies why lines e and f must be parallel?

A
same side interior angles theorem
B
converse of the alternate interior angles theorem
C
alternate interior angles theorem
D
converse of the same side interior angles theorem
2
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Why are lines AC and RS skew lines?

A
They lie in different planes and will never intersect.
B
They lie in different planes but will intersect if a plane is drawn to contain both lines.
C
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
D
They lie in the same plane but will never intersect.
3

Which new angle is created by extending one side of a triangle?

A
an exterior angle
B
a complementary angle
C
an adjacent interior angle
D
a remote interior angle
4

In the diagram, the only figure that could be parallel to line c is

A
plane cap q .
B
line A .
C
line b .
D
line d .
5

What is the value of g ?

A
g is equal to 75
B
g is equal to 100
C
g is equal to 105
D
g is equal to 80
6

What is the value of m ?

A
m is equal to 68
B
m is equal to 112
C
m is equal to 102
D
m is equal to 78
7

Which pair of angles is supplementary?

A
angle RXZ and angle YXZ
B
angle PXQ and angle RXS
C
angle WZX and angle XYZ
D
angle YZX and angle UZT
8

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

A
equilateral
B
right
C
obtuse
D
scalene
9

Triangle ABC has the angle measures shown. m angle cap A is equal to 2 x degrees m angle cap b is equal to 5 x degrees m angle cap c is equal to 11 x degrees Which statement is true about the angles?

A
m angle cap A plus m angle cap c is equal to 120 degrees
B
angle cap A and angle cap b are complementary
C
m angle cap b is equal to 60 degrees
D
m angle cap A is equal to 20 degrees
10

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

A
27 degrees
B
72 degrees
C
36 degrees
D
54 degrees
11

Which diagram shows possible angle measures of a triangle?

A
Image with description A triangle has angles labeled 32 degrees at the lower-left vertex, 115 degrees at the top vertex, and 33 degrees at the lower-right vertex.
B
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 120 degrees at the top vertex, and 35 degrees at the lower-right vertex.
C
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 115 degrees at the top vertex, and 25 degrees at the lower-right vertex.
D
Image with description A triangle has angles labeled 30 degrees at the lower-left vertex, 120 degrees at the top vertex, and 20 degrees at the lower-right vertex.
12

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 vertical transversal. At the upper intersection, the angle below the line and to the right of the transversal is labeled 91 degrees. At the lower intersection, the angle above the line and to the right of the transversal is labeled 89 degrees.
B
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 91 degrees, and the angle below the line and to the left of the transversal is labeled 91 degrees. No angle measure is shown at the lower intersection.
C
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 89 degrees, and the angle below the line and to the right of the transversal is labeled 91 degrees. No angle measure is shown at the lower intersection.
D
Image with description Two left-to-right lines are crossed by a vertical transversal. At the upper intersection, the angle above the line and to the right of the transversal is labeled 91 degrees. At the lower intersection, the angle below the line and to the right of the transversal is labeled 91 degrees.

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