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N/A — Exam Answers

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1
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What is QS ?

A
5 units.
B
17 units.
C
33 units.
D
2 units.
2
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Which rule represents the translation from the pre-image, triangle ABC , to the image, triangle cap A prime cap b prime cap c prime ?

A
open paren x comma y close paren rightarrow open paren x plus 7 comma y plus 6 close paren
B
open paren x comma y close paren rightarrow open paren x plus 6 comma y plus 7 close paren
C
open paren x comma y close paren rightarrow open paren x plus 7 comma y minus 6 close paren
D
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 7 close paren
3

If a translation of cap t sub negative 3 comma negative 8 times open paren x comma y close paren is applied to square ABCD , what is the y -coordinate of cap b prime ?

A
negative 6
B
negative 8
C
negative 2
D
negative 12
4

Which value could be the y -coordinate for point Q?

A
2 square root of 5
B
8 square root of 2
C
2 square root of 13
D
4 square root of 2
5

For how many teachers are both p wedge r true and q false?

A
2
B
5
C
9
D
4
6

Is there a series of rigid transformations that could map triangle RST to triangle XYT ? If so, which transformations could be used?

A
Yes, triangle RST can be translated so that cap s is mapped to cap y and then rotated about cap s so that cap r is mapped to cap x .
B
Yes, triangle RST can be reflected across the line containing line segment RT and then rotated about cap t so that cap s is mapped to cap y .
C
No, triangle RST and triangle XYT are congruent but triangle RST cannot be mapped to triangle XYT using a series rigid transformations.
D
No, triangle RST and triangle XYT are not congruent.
7

Is there a series of rigid transformations that could map triangle cap k cap l cap p to triangle cap q cap n cap m ? If so, which transformations?

A
No, triangle cap k cap l cap p and triangle cap q cap n cap m are not congruent.
B
Yes, triangle cap k cap l cap p can be reflected across the line containing line segment cap k cap p and then translated so that cap p is mapped to cap m .
C
Yes, triangle cap k cap l cap p can be rotated about cap p and then translated so that caps l is mapped to cap n .
D
No, triangle cap k cap l cap p and triangle cap q cap n cap m are congruent but triangle cap k cap l cap p cannot be mapped to triangle cap q cap n cap m using a series rigid transformations.
8

Quadrilateral ABCD is translated up and to the right, and then rotated about point cap q Which congruency statement is correct?

A
ABCD is congruent to WZYX
B
ABCD is congruent to ZWXY
C
ABCD is congruent to ZYXW
D
ABCD is congruent to WXYZ
9

If the coordinates of point cap e are open paren negative 4 comma y close paren , what is the value of y ?

A
negative 8
B
8
C
0
D
negative 4
10

Which represents an exterior angle of triangle EGF ?

A
angle MEG
B
angle NEG
C
angle RFS
D
angle PEQ
11

Which describes the intersection of planes cap A and cap b ?

A
point cap d
B
point cap c
C
line CD
D
line ED
12

What is the equation of the line that is parallel to the given line and passes through the point open paren 12 comma negative 2 close paren ?

A
y is equal to negative 6 fifths x plus 10
B
y is equal to negative 5 sixths x minus 10
C
y is equal to 5 sixths x minus 12
D
y is equal to negative 6 fifths x plus 12
13

If a new line, p , is drawn parallel to line l , which statement is true?

A
Line p must be perpendicular to line
B
Line p must be drawn in plane
C
Line p must be drawn in the same plane as line
D
Line p must be drawn so that it can lie in the same plane as line
14

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

A
x is equal to 63
B
x plus z is equal to 180
C
y is equal to 47
D
x plus y is equal to 180
E
z is equal to 117
15

Are the triangles congruent? Why or why not?

A
No, the congruent sides do not correspond.
B
Yes, angle cap A is congruent to angle cap d and line segment cap A cap b is congruent to line segment cap d cap e .
C
Yes, they are congruent by either AAS or ASA.
D
No, angle cap c is not congruent to any angle in triangle cap d cap e cap f .
16

If m angle 1 is equal to 61.8 degrees , then what is m angle 6 ?

A
61.8 degrees
B
81.8 degrees
C
128.2 degrees
D
118.2 degrees
17

What is the midpoint of line segment C D ?

A
1 half comma negative 3 halves
B
1 comma negative 3 halves
C
1 half comma negative 5 halves
D
1 comma negative 5 halves
18

Which statements regarding triangle EFG are true? Choose three correct answers.

A
EG plus FG is greater than EF
B
EG minus FG is less than EF
C
EF minus FG is greater than EG
D
EF plus FG is greater than EG
E
EG plus EF is less than FG
19

What is the measure of angle JHN ?

A
95 degrees
B
45 degrees
C
50 degrees
D
25 degrees
20

Which shows the pre-image of triangle cap x prime cap y prime cap z prime before the figure was rotated 90 degrees about the origin?

A
Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (2, 2), Y at (6, 0), and Z at (1, negative 1).
B
Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (2, negative 2), Y at (6, 0), and Z at (1, 1).
C
Image with description Image 1: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma 2), Y at (negative 6 comma 0), and Z at (negative 1 comma negative 1). Image 2: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma negative 2), Y at (negative 6 comma 0), and Z at (negative 1 comma 1).
D
Image with description Image 1: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma 2), Y at (negative 6 comma 0), and Z at (negative 1 comma negative 1). Image 2: Coordinate plane with x- and y-axes labeled and a 1-unit grid. Triangle X Y Z has vertices X at (negative 2 comma negative 2), Y at (negative 6 comma 0), and Z at (negative 1 comma 1).

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