Practice Exam Answers

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Which statement and reason are missing in the proof?

A
angle cap x is congruent to angle cap x ; reflexive property
B
angle cap A is congruent to angle cap A ; reflexive property
C
angle cap A cap b cap c is congruent to angle cap A cap y cap x ; corresponding angles of similar triangles
D
angle cap A cap b cap c is congruent to angle cap A cap x cap y ; corresponding angles of similar triangles
3

What is the volume of the pyramid?

A
32 cm cubed
B
48 cm cubed
C
12 cm cubed
D
16 cm cubed
4

What is the value of x ?

A
2 square root of 3 units
B
8 units
C
4 units
D
4 square root of 3 units
5

What is the length of line segment TV ?

A
2 and 1 half units
B
1 and 2 thirds units
C
1 unit
D
3 units
8

What is the value of x ?

A
5 point 5
B
5 point 3 7 5
C
11
D
13
10

What is the approximate length of minor arc LM ? Round to the nearest tenth of a centimeter.

A
12 point 4 centimeters
B
15 point 7 centimeters
C
36 point 7 centimeters
D
31 point 4 centimeters
12

For triangle ABC , which one is equivalent to sine of cap A ?

A
tangent of cap c
B
cosine of cap c
C
sine of cap b
D
cosine of cap b
13

Which statement must be true?

A
Angle QRT measures 156 degrees and angle QST measures 24 degrees .
B
Angles QRT and QST both measure 78 degrees .
C
Angles QRT and QST both measure 156 degrees .
D
Angle QRT measures 78 degrees and angle QST measures 102 degrees .
14

What is the perimeter of parallelogram WXYZ ?

A
2 square root of 5 plus 2 square root of 17 units
B
square root of 5 plus square root of 17 units
C
16 units
D
22 units
15

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
Each angle measure is equal to the measure of the arc it intercepts.
B
The measures of each pair of opposite arcs sum to 180 degrees .
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
17

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180 degrees . Therefore, the third angle can always be determined.
B
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
C
All isosceles triangles are similar. Two angles within each triangle are always congruent.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.

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