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N/A — Exam Answers

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21
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Which figures are shown in the diagram? Choose three correct answers.

A
segment CD
B
line CD
C
ray CD
D
point cap d
E
ray DC
22
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Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p ?

A
m angle 2 is equal to 99 degrees and m angle 4 is equal to 99 degrees
B
m angle 1 is equal to 81 degrees and m angle 2 is equal to 99 degrees
C
m angle 4 is equal to 81 degrees and m angle 1 is equal to 81 degrees
D
m angle 3 is equal to 99 degrees and m angle 4 is equal to 99 degrees
23

Which quadrilateral will always have 4-fold reflectional symmetry?

A
square
B
trapezoid
C
rectangle
D
rhombus
24

Assume lines c and d are parallel and angle 2 measures 98 degrees Which statements are true? Choose three correct answers.

A
m angle 4 is equal to m angle 8 is equal to 82 degrees
B
m angle 3 is equal to m angle 14 is equal to 98 degrees
C
m angle 5 is equal to m angle 8 is equal to 82 degrees
D
m angle 3 is equal to m angle 6 is equal to 98 degrees
E
m angle 4 is equal to m angle 12 is equal to 82 degrees
25

Based on the diagram, can point cap d be the centroid of triangle ACF ? Explain.

A
Yes, DE is three-quarters of the length of the full segment.
B
No, DE should be longer than AD .
C
No, the ratio between AD and DE is ratio of 3 to 1 .
D
Yes, point cap d is the point of intersection of segments drawn from all three vertices.
26

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 On a coordinate plane, the scale on the x and y axes range from negative 6 to 6 in increments of 1. A triangle XYZ is on the graph. Triangle XYZ has the vertices at X(2 comma negative 2), Y (6 comma 0), Z (1 comma 1).
B
Image with description On a coordinate plane, the scale on the x and y axes range from negative 6 to 6 in increments of 1. A triangle XYZ is on the graph. Triangle XYZ has the vertices at (2 comma negative 2), Y (6 comma 0), Z (1 comma 1).
C
Image with description On a coordinate plane, the scale on the x and y axes range from negative 6 to 6 in increments of 1. A triangle XYZ is on the graph with vertices at X (negative 2 comma negative 2), Y (6 comma 0), Z (negative 1 comma 1).
D
Image with description On a coordinate plane, the scale on the x and y axes range from negative 6 to 6 in increments of 1. A triangle XYZ is on the graph with vertices at X (negative 2 comma negative 2), Y (6 comma 0), Z (negative 1 comma 1).
27

What is true about angle MSR ?

A
It must be equal to angle RMS .
B
It must be a right angle.
C
It must be acute.
D
It must be equal to angle MRH .
28

What is the pre-image of vertex cap A prime if the image shown on the graph was created by a reflection across the line y is equal to x ?

A
open paren negative 10 comma 2 close paren
B
open paren negative 2 comma negative 10 close paren
C
open paren 2 comma 10 close paren
D
open paren 10 comma negative 2 close paren
29

Which transformation occurred?

A
stretch
B
rotation
C
reflection
D
translation
30

Are the triangles congruent? Why or why not?

A
No, the congruent sides do not correspond.
B
Yes, they are congruent by either AAS or ASA.
C
No, angle cap c is not congruent to any angle in triangle cap d cap e cap f .
D
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 .
31

Which composition of similarity transformations maps triangle LMN to triangle liters prime cap m prime cap n prime ?

A
a dilation with a scale factor greater than 1 and then a translation
B
a dilation with a scale factor greater than 1 and then a reflection
C
a dilation with a scale factor less than 1 and then a reflection
D
a dilation with a scale factor less than 1 and then a translation
32

What is the missing reason in the proof? Statements Reasons 1. line segment AB is parallel to line segment CD ; line segment BC is parallel to line segment DA 1. given 2. Quadrilateral ABCD is a parallelogram 2. definition of parallelogram 3. line segment AB is congruent to line segment CD ; line segment BC is congruent to line segment DA 3. opposite sides of a parrallegram are is congruent to 4. line segment AC is congruent to line segment AC 4. refexive property 5. triangle ABC is congruent to triangle CDA 5. ?

A
SSS congruence theorem
B
HL theorem
C
Pythagorean theorem
D
perpendicular bisector theorem
33

Angle DEF measures 75 degrees What is the measure of angle CFD ?

A
105 degrees
B
150 degrees
C
125 degrees
D
165 degrees
34

If cap r cap t is 10 centimeters long, what is cap s cap t ?

A
2 centimeters
B
4 centimeters
C
6 centimeters
D
8 centimeters
35

What additional information could be used to prove triangle ABC is congruent to triangle MQR using SAS? Choose two correct answers.

A
m angle cap A is equal to 64 degrees and AB is equal to MQ is equal to 31 cm
B
CB is equal to MQ is equal to 29 cm
C
AB is equal to QR is equal to 31 cm
D
m angle cap r is equal to 60 degrees and line segment AB is congruent to line segment MQ
E
m angle cap q is equal to 56 degrees and line segment CB is congruent to line segment RQ
36

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 6 comma y plus 7 close paren
B
open paren x comma y close paren rightarrow open paren x minus 6 comma y plus 7 close paren
C
open paren x comma y close paren rightarrow open paren x plus 7 comma y plus 6 close paren
D
open paren x comma y close paren rightarrow open paren x plus 7 comma y minus 6 close paren
37

Question text not available

Answer:

congruence

38

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

A
EF minus FG is greater than EG
B
EF plus FG is greater than EG
C
EG plus FG is greater than EF
D
EG minus FG is less than EF
E
EG plus EF is less than FG
39

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
40

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
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 .
B
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 .
C
No, triangle cap k cap l cap p and triangle cap q cap n cap m are not congruent.
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.

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