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Practice Exam Answers

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1
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What are the coordinates of point cap j prime ?

A
open paren negative 2 comma negative 6 close paren
B
open paren negative 2 comma negative 4 close paren
C
open paren negative 9 halves comma negative 9 close paren
D
open paren negative 9 halves comma negative 4 close paren
2
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What should Jace do first to find the exact location of the center of the circular water bowl?

A
He should draw perpendicular line segments from each corner to the opposite edge of the table.
B
He should find the midpoint of each edge of the table.
C
He should draw perpendicular lines through any point along the edges of the table.
D
He should bisect each of the angles at the vertices of the triangular table top.
3

What is the measure of angle 15 ?

A
m angle 15 is equal to 93 degrees
B
m angle 15 is equal to 97 degrees
C
m angle 15 is equal to 77 degrees
D
m angle 15 is equal to 83 degrees
4

What is the value of x ?

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

What is the measure of angle cap m cap o cap p ?

A
122 degrees
B
58 degrees
C
61 degrees
D
29 degrees
6

Which line segment is drawn in the figure?

A
line segment WZ
B
line segment WY
C
line segment XZ
D
line segment YZ
7

Which statement is true about the given information?

A
angle CED measures 180 degrees .
B
angle CED measures 45 degrees .
C
angle AEC measures 45 degrees .
D
angle AEC measures 90 degrees .
8

Which statements are true based on the diagram? Choose three correct answers.

A
Line z intersects plane cap s at point cap c .
B
The line containing points cap A and cap b lies entirely in plane cap t .
C
Planes cap r and cap t intersect at line y .
D
Line v intersects lines x and y at the same point.
E
Plane cap s contains points cap b and cap e .
9

Holly finds that open paren 11 m minus 13 n plus 6 m n close paren minus open paren 10 m minus 7 n plus 3 m n close paren is equal to m minus 20 n plus 9 m n What error did Holly make?

A
She did not combine all like terms.
B
She added the polynomials instead of subtracting.
C
She only used the additive inverses of negative 7 n and 3 m n when combining like terms.
D
She only used the additive inverse of 10 m when combining like terms.
10

Which statement best describes the polynomial? 6 minus 8 y plus 14 y to the 7th power plus 16 y to the 8th power

A
It is not in standard form because it can be further simplified.
B
It is in standard form because the exponents are in order from lowest to highest.
C
It is not in standard form because the exponents are not in order from highest to lowest.
D
It is in standard form because the coefficients are in order from lowest to highest.
11

In triangle QRS , QR is equal to 8 and RS is equal to 5 Which expresses all possible lengths of side QS ?

A
3 is less than QS comma QS is less than 13
B
QS is greater than 13
C
QS is equal to 13
D
5 is less than QS comma QS is less than 8
12

An interior angle of a regular polygon has a measure of 108 degrees What type of polygon is it?

A
nonagon
B
octagon
C
hexagon
D
pentagon
13

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

A
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.
B
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.
C
All isosceles triangles are similar. Two angles within each triangle are always congruent.
D
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.
14

The volume of a rectangular prism is given by the formula cap v is equal to l w h , where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism? Open image in full-screen view

A
6 x cubed plus 39 x squared plus 54 x
B
2 x squared plus 13 x plus 18
C
6 x cubed plus 27 x squared plus 54 x
D
18 x to the 4th power plus 117 x cubed plus 162 x squared
15

Which pair of triangles can be proven congruent by SAS?

A
Image with description Two separate, unlabeled triangles are shown with the same orientation. In each triangle, the top angle has double arc marks, the lower-left angle has triple arc marks, and the lower-right angle has one arc mark. No side tick marks are shown.
B
Image with description A large unlabeled triangle is divided into two smaller triangles by a vertical segment from the top vertex to the base. The two outer slanted sides have matching single tick marks, the shared vertical segment has a single tick mark, and right-angle markers are shown where the vertical segment meets the base.
C
Image with description A figure is divided into two unlabeled triangles by a segment from the top vertex to a lower center vertex. The dividing segment has double tick marks. A single arc mark spans the full angle at the top vertex between the two outer sides. Matching double arc marks are shown at the lower-left vertex and the right vertex.
D
Image with description Two unlabeled triangles meet at a central intersection point. A nearly horizontal segment passes through the intersection; the segment on each side of the intersection has matching single tick marks. A slanted segment also passes through the intersection; the segment on each side of the intersection has matching double tick marks. Matching angle marks are shown at the intersection between the single-tick and double-tick sides of each triangle.
16

What must be the value of x so that lines c and d are parallel lines cut by transversal p ?

A
18
B
81
C
99
D
12
17

What is the missing reason in the proof? Statements Reasons 1. line segment ST is the perpendicular bisector of line segment RV 1. given 2. angle STR and angle STV are right angles. 2. def. of perpendicular bisector 3. line segment RS is congruent to line segment VS 3. ? 4. line segment ST is congruent to line segment ST 4 reflexive property 5. triangle RST is congruent to triangle VST 5. HL theorem

A
SSS congruence theorem
B
Pythagorean theorem
C
perpendicular bisector theorem
D
converse of the perpendicular bisector theorem
18

What is the length of line segment MX ?

A
6 in.
B
9 in.
C
8 in.
D
7 in.
19

Which best explains whether or not triangle ABC is congruent to triangle LMN ?

A
The figures are congruent because a 270 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
B
The figures are not congruent because point cap b corresponds with point cap n and point cap c corresponds with point cap m .
C
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map triangle ABC onto triangle LMN .
D
The figures are congruent because a 180 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
20

Which rigid transformation would map triangle cap A cap b cap c to triangle cap e cap d cap c ?

A
a rotation about point cap b
B
a reflection across the line containing line segment cap A cap c
C
a reflection across the line containing line segment cap c cap b
D
a rotation about point cap c

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