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

Practice Test Answers

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1
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What is the measure of angle DCU ?

A
120 degrees
B
135 degrees
C
45 degrees
D
90 degrees
2
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Which new angle is created by extending one side of a triangle?

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

Which pair of angles is supplementary?

A
angle PXQ and angle RXS
B
angle WZX and angle XYZ
C
angle RXZ and angle YXZ
D
angle YZX and angle UZT
5

Given: line segment RT is congruent to line segment TV and line segment ST is congruent to line segment TU Prove: RSVU is a parallelogram. Expand Image What is the missing statement in step 4?

A
triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS
B
triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV
C
triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU
D
triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV
6

What is the value of x ?

A
105 degrees
B
135 degrees
C
115 degrees
D
125 degrees
7

What is the perimeter of kite KLMN ?

A
square root of 2 plus square root of 5 units
B
2 square root of 2 plus 2 square root of 5 units
C
4 square root of 5 units
D
square root of 14 units
8

What is the value of x ?

A
115 degrees
B
125 degrees
C
135 degrees
D
105 degrees
9

Angle MLO measures 112 degrees What is the measure of angle MLP?

A
56 degrees
B
90 degrees
C
68 degrees
D
45 degrees
10

Figure cap A cap b cap c cap d is a square. Prove line segment cap b cap d is congruent to line segment cap A cap c Which is the missing reason in step 4 ? Expand Image

A
all right angles measure 90 degrees
B
definition of diagonal
C
all sides of a square are congruent
D
definition of perpendicular
12

Which concept can be used to prove that the diagonals of a parallelogram bisect each other?

A
congruent rectangles
B
similar rectangles
C
congruent triangles
D
similar triangles
13

What is the measure of angle DCU ?

A
45 degrees
B
90 degrees
C
135 degrees
D
120 degrees
14

Which angle measures are correct? Choose three correct answers.

A
m angle cap w is equal to 125 degrees
B
m angle cap w is equal to 55 degrees
C
m angle cap z is equal to 55 degrees
D
m angle cap x is equal to 55 degrees
E
m angle cap z is equal to 125 degrees
15

Which pair of angles is supplementary?

A
angle WZX and angle XYZ
B
angle PXQ and angle RXS
C
angle YZX and angle UZT
D
angle RXZ and angle YXZ
16

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
17

Given: line segment RT is congruent to line segment TV and line segment ST is congruent to line segment TU Prove: RSVU is a parallelogram. Expand Image What is the missing statement in step 4?

A
triangle RTS is congruent to triangle VTU and triangle RTU is congruent to triangle VTS
B
triangle RTS is congruent to triangle RVS and triangle RTU is congruent to triangle STV
C
triangle VUR is congruent to triangle VUS and triangle UVS is congruent to triangle SRU
D
triangle VRS is congruent to triangle VRU and triangle USR is congruent to triangle USV

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