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1
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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 .
2
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What are the coordinates of the image of vertex cap r after a reflection across the y -axis?

A
open paren 3 comma 4 close paren
B
open paren 4 comma negative 3 close paren
C
open paren negative 4 comma 3 close paren
D
open paren negative 3 comma negative 4 close paren
3

What is the measure of angle 15 ?

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

Which line segment is drawn in the figure?

A
line segment WZ
B
line segment XZ
C
line segment WY
D
line segment YZ
5

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 open paren x comma y close paren rightarrow open paren x minus 3 comma y plus 1 close paren .
B
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
C
The rule for the translation can be written as cap t sub negative 1 comma 3 times open paren x comma y close paren .
D
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 .
E
The rule for the translation can be written as cap t sub negative 3 comma 1 times open paren x comma y close paren .
6

Which point is on the line that passes through point cap r and is perpendicular to line PQ ?

A
open paren 0 comma negative 1 close paren
B
open paren 2 comma 4 close paren
C
open paren negative 6 comma 10 close paren
D
open paren negative 4 comma negative 8 close paren
7

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.
8

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
QS is greater than 13
C
5 is less than QS comma QS is less than 8
D
3 is less than QS comma QS is less than 13
9

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

A
the converse of the converse statement
B
the inverse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the original conditional statement
10

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
48 mm
C
32 mm
D
16 mm
11

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

A
q rightarrow p
B
p rightarrow q
C
p left right arrow q
D
p wedge q
12

What is m angle PHJ ?

A
120 degrees
B
160 degrees
C
140 degrees
D
100 degrees
13

What is the x -coordinate of the point that divides the directed line segment from cap k to cap j into a ratio of ratio of 1 to 3 ? x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1

A
negative 1
B
7
C
3
D
11
14

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
perpendicular bisector theorem
C
converse of the perpendicular bisector theorem
D
Pythagorean theorem
15

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 c
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 b
16

How many reflectional symmetries does a regular decagon have?

A
20
B
10
C
5
D
15
17

What is m angle ABC ?

A
m angle ABC is equal to 67 degrees
B
m angle ABC is equal to 60 degrees
C
m angle ABC is equal to 127 degrees
D
m angle ABC is equal to 120 degrees
18

In triangle ABC , BG is equal to 24 mm. What is the length of segment GE ?

A
12 mm
B
24 mm
C
48 mm
D
36 mm
19

Which statement is true about the given information?

A
angle CED measures 45 degrees .
B
angle CED measures 180 degrees .
C
angle AEC measures 45 degrees .
D
angle AEC measures 90 degrees .
20

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

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