N/A — Exam Answers

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Which rule describes the composition of transformations that maps triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
cap r sub o comma 180 degrees circ r sub x - axis open paren x comma y close paren
B
r sub x - axis circ cap r sub o comma 180 degrees open paren x comma y close paren
C
cap r sub o comma 90 degrees circ r sub x - axis open paren x comma y close paren
D
r sub x - axis circ cap r sub o comma 90 degrees open paren x comma y close paren
4

Which represents an exterior angle of triangle EGF ?

A
angle NEG
B
angle MEG
C
angle RFS
D
angle PEQ
9

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

A
No, triangle RST and triangle XYT are congruent but triangle RST cannot be mapped to triangle XYT using a series rigid transformations.
B
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 .
C
No, triangle RST and triangle XYT are not congruent.
D
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 .
10

What is the length of line segment LJ ?

A
15 units
B
18 units
C
12 units
D
9 units
11

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

A
x is equal to 63
B
y is equal to 47
C
x plus y is equal to 180
D
x plus z is equal to 180
E
z is equal to 117
12

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

A
118.2 degrees
B
81.8 degrees
C
61.8 degrees
D
128.2 degrees
13

Ray LR is to be added to the diagram so that it is opposite ray LM Which is true about angle RLN that would be formed?

A
Angles RLN and KLM would be a linear pair.
B
Angles RLN and MLN would be vertical angles.
C
Angles RLN and MLK would be vertical angles.
D
Angles RLN and KLN would be a linear pair.
14

Triangle NLM is reflected over the line segment as shown, forming triangle ABC Which congruency statement is correct?

A
triangle NLM is congruent to triangle CBA
B
triangle NLM is congruent to triangle BAC
C
triangle NLM is congruent to triangle BCA
D
triangle NLM is congruent to triangle CAB
15

If TU is equal to 6 units, what must be true?

A
SU plus UT is equal to RT
B
RS plus SU is equal to RU
C
TU plus US is equal to RS
D
RT plus TU is equal to RS
16

Which statement is true about this transformation?

A
It is not a rigid transformation because the corresponding side lengths are not equal.
B
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
C
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90 degrees .
D
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths are equal.
17

To prove that triangle cap l cap m cap n approximates triangle cap x cap y cap z by the SAS similarity theorem, it also needs to be shown that

A
angle cap l is congruent to angle cap y .
B
angle cap l is congruent to angle cap z .
C
angle cap n is congruent to angle cap z .
D
angle cap n is congruent to angle cap x .
19

What are the coordinates of point cap A of the pre-image?

A
open paren negative 1 comma 2 close paren
B
open paren negative 9 comma 18 close paren
C
open paren negative 9 comma 6 close paren
D
open paren negative 1 comma 1 close paren
20

What is the equation of the line that is perpendicular to the given line and passes through the point open paren 3 comma 0 close paren ?

A
5 x minus 3 y is equal to negative 15
B
3 x plus 5 y is equal to negative 9
C
3 x plus 5 y is equal to 9
D
5 x minus 3 y is equal to 15

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