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 perimeter of kite KLMN ?

A
square root of 14 units
B
4 square root of 5 units
C
2 square root of 2 plus 2 square root of 5 units
D
square root of 2 plus square root of 5 units
2
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Which new angle is created by extending one side of a triangle?

A
an exterior angle
B
a complementary angle
C
a remote interior angle
D
an adjacent interior angle
3

Given: RT―≅TV― and ST―≅TU― Prove: RSVU is a parallelogram. Open image in full-screen view 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
4

What is the measure of angle DCU ?

A
90 degrees
B
135 degrees
C
120 degrees
D
45 degrees
5

Which statement proves that PQRS is a parallelogram?

A
The midpoint of line segment SQ is open paren 4 comma 5 and 1 half close paren and SQ is equal to 5 .
B
The midpoint of line segment RP is open paren 4 comma 5 and 1 half close paren and the slope of line segment RP is negative 9 halves .
C
The slopes of line segment RS and line segment QP are both 3 and SP is equal to RQ is equal to square root of 45 .
D
The slopes of line segment SP and line segment RQ are both negative 2 and SP is equal to RQ is equal to square root of 45 .
6

What is the length of line segment WU ?

A
7 cm
B
5 cm
C
6 cm
D
4 cm
7

Which polygon is a convex heptagon?

A
Image with description A polygon has 8 vertices, and all vertices point outward.
B
Image with description A polygon has 8 vertices and one inward angle near the center vertex on the upper-left side.
C
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
8

Four interior angles of a pentagon measure 88 degrees , 118 degrees , 132 degrees , and 100 degrees What is the measure of the fifth interior angle?

A
92 degrees
B
112 degrees
C
82 degrees
D
102 degrees
9

Which diagram shows possible angle measures of a triangle?

A
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.
B
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.
C
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.
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.
10

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
m angle cap b is equal to 60 degrees
C
m angle cap A is equal to 20 degrees
D
angle cap A and angle cap b are complementary
11

Which pair of angles is supplementary?

A
angle RXZ and angle YXZ
B
angle PXQ and angle RXS
C
angle YZX and angle UZT
D
angle WZX and angle XYZ
12

What is the value of x ?

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

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