N/A — Exam Answers

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1
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If TU is equal to 6 units, what must be true?

A
RS plus SU is equal to RU
B
RT plus TU is equal to RS
C
TU plus US is equal to RS
D
SU plus UT is equal to RT
2
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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
No, angle cap c is not congruent to any angle in triangle cap d cap e cap f .
D
Yes, they are congruent by either AAS or ASA.
4

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

A
128.2 degrees
B
61.8 degrees
C
118.2 degrees
D
81.8 degrees
5

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 2 comma 10 close paren
B
open paren negative 10 comma 2 close paren
C
open paren negative 2 comma negative 10 close paren
D
open paren 10 comma negative 2 close paren
7

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles. What type of triangle is created by the three cities?

A
an obtuse triangle, because 22 squared plus 51 squared is greater than 54 squared
B
an obtuse triangle, because 22 squared plus 54 squared is greater than 51 squared
C
an acute triangle, because 22 squared plus 51 squared is greater than 54 squared
D
an acute triangle, because 22 squared plus 54 squared is greater than 51 squared
8

What is true about angle MSR ?

A
It must be acute.
B
It must be equal to angle MRH .
C
It must be a right angle.
D
It must be equal to angle RMS .
9

Which statement is true about this transformation?

A
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90 degrees .
B
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
C
It is not a rigid transformation because the corresponding side lengths are not equal.
D
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths are equal.
11

Which transformation(s) can map triangle BCD onto triangle WXY ?

A
translation, then rotation
B
reflection only
C
translation, then reflection
D
rotation only
12

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 1 comma 1 close paren
C
open paren negative 9 comma 6 close paren
D
open paren negative 9 comma 18 close paren
13

What is QS ?

A
5 units.
B
33 units.
C
2 units.
D
17 units.
14

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

A
165 degrees
B
125 degrees
C
105 degrees
D
150 degrees
15

Which piece of additional information can be used to prove that triangle RST approximates triangle VUT ?

A
angle cap v is congruent to angle cap u
B
line segment RT is equal to line segment ST
C
3ST is equal to UT
D
angle cap r is congruent to angle cap v
16

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
No, triangle RST and triangle XYT are not congruent.
C
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 .
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 .
17

Given right triangle XYZ , what is the value of tangent of open paren 60 degrees close paren ?

A
the fraction with numerator square root of 3 and denominator 2
B
2 over 1
C
square root of 3
D
1 half
18

Which equation correctly uses the value of x to represent the cosine of angle cap A ?

A
cosine of open paren 53 degrees close paren is equal to 4 over x
B
cosine of open paren 53 degrees close paren is equal to x over 4
C
cosine of open paren 53 degrees close paren is equal to 5 over y
D
cosine of open paren 53 degrees close paren is equal to y over 5
19

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

A
EG minus FG is less than EF
B
EF minus FG is greater than EG
C
EG plus FG is greater than EF
D
EF plus FG is greater than EG
E
EG plus EF is less than FG
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 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).
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 with vertices at X (negative 2 comma negative 2), Y (6 comma 0), Z (negative 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. Triangle XYZ has the vertices at X(2 comma negative 2), Y (6 comma 0), Z (1 comma 1).

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