Practice Exam Answers

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1
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What is the value of x ?

A
135 degrees
B
105 degrees
C
115 degrees
D
125 degrees
2
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Which statement proves that PQRS is a parallelogram?

A
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 .
B
The midpoint of line segment SQ is open paren 4 comma 5 and 1 half close paren and SQ is equal to 5 .
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 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 .
4

Which expression represents the volume of the pyramid?

A
1 third s squared h units cubed
B
3 s squared h units cubed
C
s squared h units cubed
D
1 fourth s squared h units cubed
6

Which triangle is similar to triangle JKL ?

A
triangle JKM
B
triangle MKL
C
triangle LJK
D
triangle KML
9

Which statements are true? Choose two correct answers.

A
Segment QQ prime is parallel to segment PP prime .
B
triangle PQR is congruent to triangle cap p prime cap q prime cap q
C
angle PQR corresponds to angle QPQ prime .
D
Side RQ corresponds to side QQ prime .
E
angle cap r corresponds to angle cap p prime cap q cap q prime .
11

What is the measure of angle CDF ?

A
26 degrees
B
19 degrees
C
38 degrees
D
14 degrees
13

Triangles ABC and ADE are similar, as shown. Which must be true? Choose three correct answers.

A
AC over AE is equal to BC over DE
B
AE is equal to 2 AC
C
BC is equal to 2 DE
D
AC is equal to AB
E
AC over AD is equal to AB over AE
F
DE is equal to 2 BC
G
AC is equal to 2 AE
14

Which transformations could have taken place to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
a translation and a dilation
B
a reflection and a dilation
C
a reflection and a translation
D
a rotation and a dilation
15

To prove that triangle cap v cap w cap z approximates triangle cap y cap x cap z by the SAS similarity theorem, which other sides or angles should be used?

A
angle cap v cap z cap w is congruent to angle cap y cap z cap x
B
line segment cap w cap v and line segment cap z cap y
C
line segment cap w cap v and line segment cap x cap y
D
angle cap v cap w cap z is congruent to angle cap y cap x cap z
16

Which polygon is a convex heptagon?

A
Image with description A polygon with 7 sides and no interior angles greater than 180 degrees.
B
Image with description A polygon with 8 sides and 1 interior angle greater than 180 degrees.
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 1 interior angle greater than 180 degrees.
18

Which of the following shows a square inscribed in a circle?

A
Image with description The circle is drawn outside the square.
B
Image with description The circle is drawn by taking the side of the square as the diameter
C
Image with description The circle is drawn inside the square.
D
Image with description The circle is drawn inside a rectangle.
20

What is the missing reason in step 5?

A
diagonals of a kite are congruent
B
corresponding parts of similar triangles are congruent
C
adjacent sides of a kite are congruent
D
corresponding parts of congruent triangles are congruent

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