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

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

15 verified answers
1
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What is the measure of angle cap b ?

A
108 degrees
B
118 degrees
C
98 degrees
D
128 degrees
2
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Which angle is an adjacent interior angle to angle JKM ?

A
angle MKL
B
angle JKL
C
angle KLM
D
angle LMK
3

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

A
angle BEC is a remote interior angle to exterior angle BCF .
B
angle ABE and angle EBC are supplementary angles.
C
angle DEC is an exterior angle.
D
angle BEC is an exterior angle.
E
angle BCF and angle DEC are supplementary angles.
4

What is the length of line segment XY ?

A
4 units
B
3 units
C
6 units
D
5 units
5

What is the perimeter of trapezoid JKLM ?

A
9 plus square root of 2 plus square root of 5 units
B
square root of 2 plus square root of 5 units
C
9 plus 2 square root of 2 units
D
2 plus square root of 2 plus square root of 5 units
6

What is the perimeter of rectangle EFGH ?

A
22 units
B
39 units
C
2 square root of 10 plus 2 square root of 29 units
D
square root of 10 plus square root of 29 units
7

What is the measure of angle cap s ?

A
93 degrees
B
101 degrees
C
48 degrees
D
56 degrees
8

If triangle RST is an acute triangle, then m angle cap s must be

A
less than 90 degrees .
B
equal to 90 degrees .
C
greater than 90 degrees and less than 180 degrees .
D
equal to 100 degrees .
9

What is the value of x ?

A
x is equal to 13
B
x is equal to 11 point 2 5
C
x is equal to 2 point 2 5
D
x is equal to 22
10

Which polygon is a concave octagon?

A
Image with description A polygon has 8 vertices, and all vertices point outward.
B
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
C
Image with description A polygon with 8 sides and no interior angles greater than 180 degrees.
D
Image with description A polygon has 7 vertices and one inward angle at the center vertex on the right side.
11

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

A
m angle cap A plus m angle cap c is equal to 50 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 is equal to 20 degrees and m angle cap c is equal to 20 degrees
D
m angle cap A plus m angle cap b is equal to 180 degrees
12

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

A
7 cm
B
4 cm
C
6 cm
D
3 cm
13

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

A
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 .
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 XZ is equal to XY is equal to 5 .
D
XZ is equal to XY is equal to 5
14

In parallelogram WXYZ , what is CY ?

A
23 ft
B
11 ft
C
21 ft
D
15 ft
15

In quadrilateral ABDC , line segment AB is parallel to line segment CD Which additional piece of information is needed to determine that ABDC is a parallelogram?

A
line segment AB is congruent to line segment CD
B
line segment AC is congruent to line segment BD
C
line segment AB perpendicular to line segment BD
D
line segment CD perpendicular to line segment BD

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