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Practice Exam Answers

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1
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Which statement is true about the given information?

A
angle CED measures 180 degrees .
B
angle AEC measures 90 degrees .
C
angle CED measures 45 degrees .
D
angle AEC measures 45 degrees .
2
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What are the coordinates of point cap j prime ?

A
open paren negative 2 comma negative 4 close paren
B
open paren negative 2 comma negative 6 close paren
C
open paren negative 9 halves comma negative 9 close paren
D
open paren negative 9 halves comma negative 4 close paren
3

What should Jace do first to find the exact location of the center of the circular water bowl?

A
He should draw perpendicular lines through any point along the edges of the table.
B
He should find the midpoint of each edge of the table.
C
He should draw perpendicular line segments from each corner to the opposite edge of the table.
D
He should bisect each of the angles at the vertices of the triangular table top.
4

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point open paren 2 comma 5 close paren ?

A
y minus 2 is equal to x minus 5
B
y plus 2 is equal to negative open paren x plus 5 close paren
C
y plus 5 is equal to x plus 2
D
y minus 5 is equal to negative open paren x minus 2 close paren
5

What is the length of segment AC ?

A
6 units
B
16 units
C
12 units
D
8 units
6

What is m angle PHJ ?

A
140 degrees
B
120 degrees
C
160 degrees
D
100 degrees
7

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle cap A to side line segment BC at point cap m What is the length of line segment MC ?

A
24 mm
B
16 mm
C
48 mm
D
32 mm
8

Let p : A shape is a triangle. Let q : A shape has four sides. Which is true if the shape is a rectangle?

A
p wedge q
B
p left right arrow q
C
q rightarrow p
D
p rightarrow q
9

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

A
QS is equal to 13
B
3 is less than QS comma QS is less than 13
C
QS is greater than 13
D
5 is less than QS comma QS is less than 8
10

Which is logically equivalent to the converse of a conditional statement?

A
the original conditional statement
B
the contrapositive of the original conditional statement
C
the converse of the converse statement
D
the inverse of the original conditional statement
11

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 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.
C
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.
D
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.
12

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. Two angles within each triangle are always congruent.
C
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.
D
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.
13

What is the length of line segment MN ?

A
58 cm
B
75 cm
C
88 cm
D
116 cm
14

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

A
81
B
99
C
18
D
12
15

What will be the distance from the center of dilation, cap p , to the image cap s prime ?

A
4 units
B
8 units
C
6 units
D
2 units
16

What are the coordinates of the midpoint of line segment A B ?

A
negative 1 half comma negative 2
B
negative 2 comma negative 1 half
C
negative 3 halves comma negative 1
D
negative 1 comma negative 3 halves
17

Which statements are true about trapezoid ABCD and its translated image, cap A prime cap b prime cap c prime cap d prime ? Choose two correct answers.

A
The rule for the translation can be written as cap t sub negative 3 comma 1 times open paren x comma y close paren .
B
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x minus 3 comma y plus 1 close paren .
C
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
D
The rule for the translation can be written as cap t sub negative 1 comma 3 times open paren x comma y close paren .
E
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x plus 1 comma y minus 3 close paren .
18

What is the slope of the function?

A
5
B
negative 5
C
10
D
negative 10
19

Which congruence theorems can be used to prove triangle ABR is congruent to triangle ACR ? Choose three correct answers.

A
HL
B
AAS
C
ASA
D
SSS
E
SAS
20

Angles 1 and 2 are complementary and congruent. What is the measure of angle 1 ?

A
30 degrees
B
45 degrees
C
50 degrees
D
75 degrees

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