AnswersGeometry Concepts and ConnectionsGeometric Foundations, Construction and Proofs: Part Two

Geometric Foundations, Construction and Proofs: Part Two — Test Answers

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

A
angle ABE and angle EBC are supplementary angles.
B
angle BEC is an exterior angle.
C
angle BCF and angle DEC are supplementary angles.
D
angle BEC is a remote interior angle to exterior angle BCF .
E
angle DEC is an exterior angle.
2
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What is m angle ABC ?

A
m angle ABC is equal to 45 degrees
B
m angle ABC is equal to 75 degrees
C
m angle ABC is equal to 60 degrees
D
m angle ABC is equal to 15 degrees
3

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

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

What is the measure of angle BAC?

A
45 degrees
B
30 degrees
C
90 degrees
D
60 degrees
6

What is the measure of angle cap s ?

A
48 degrees
B
56 degrees
C
101 degrees
D
93 degrees
7

Which statement proves that triangle XYZ is an isosceles right triangle?

A
XZ is equal to XY is equal to 5
B
line segment XZ perpendicular to line segment XY
C
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and the slope of line segment ZY is equal to 7 .
D
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and XZ is equal to XY is equal to 5 .
8

Which statement should fill in the blank in the last line of the proof?

A
angle cap n is supplementary to angle cap p .
B
angle cap m is supplementary to angle cap o .
C
angle cap m is congruent to angle cap p
D
angle cap n is congruent to angle cap p
9

In the regular nonagon shown, what is the measure of angle x ?

A
60 degrees
B
45 degrees
C
36 degrees
D
40 degrees
10

What is the value of m ?

A
m is equal to 15
B
m is equal to 3
C
m is equal to 16
D
m is equal to 2
12

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 .
13

line segment BC is parallel to line segment AD and line segment CD is parallel to line segment BA because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.

A
slopes of opposite sides are equal
B
slopes of consecutive sides are not equal
C
lengths of consecutive sides are not equal
D
lengths of opposite sides are equal
14

In the diagram, SR is equal to 4 square root of 2 and QR is equal to square root of 10 What is the perimeter of parallelogram PQRS ?

A
square root of 10 units
B
16 square root of 2 units
C
8 square root of 2 plus 8 units
D
8 square root of 2 plus 2 square root of 10 units
15

Which angle is an adjacent interior angle to angle JKM ?

A
angle LMK
B
angle MKL
C
angle KLM
D
angle JKL
16

What is the measure of angle cap b ?

A
108 degrees
B
98 degrees
C
118 degrees
D
128 degrees
18

What is the measure of angle ABD in trapezoid ABCD ?

A
92 degrees
B
40 degrees
C
24 degrees
D
64 degrees

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