AnswersGeometryRelationships of Triangles: Similarity and Trigonometry

Practice Test Answers

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1
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Which transformations could have taken place to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
a rotation and a dilation
B
a reflection and a dilation
C
a translation and a dilation
D
a reflection and a translation
2
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Which equation can be used to find the measure of angle LKJ ?

A
cosine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
B
sine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
C
cosine inverse of open paren 10 point 9 over 8 point 9 close paren is equal to x
D
sine inverse of open paren 8 point 9 over 10 point 9 close paren is equal to x
4

Jose also has to state that

A
angle cap A is congruent to angle cap A .
B
angle cap A is congruent to angle cap A cap b cap c .
C
angle cap A is congruent to angle cap A cap c cap b .
D
angle cap A is congruent to angle cap d .
5

What is the length of one leg of the triangle?

A
5 square root of 5
B
5 square root of 10
C
10 square root of 5
D
10 square root of 10
6

Which is the best approximation for the measure of angle ABC ?

A
58.3 degrees
B
27.7 degrees
C
62.3 degrees
D
31.7 degrees
7

What is the length of one leg of the triangle?

A
14 square root of 2 units
B
7 units
C
14 units
D
7 square root of 2 units
9

What is the value of x ?

A
12 units
B
15 units
C
24 units
D
20 units
11

To prove that triangle cap v cap w cap z approximates triangle cap y cap x cap z by the SAS similarity theorem, which other sides or angles should be used?

A
angle cap v cap w cap z is congruent to angle cap y cap x cap z
B
line segment cap w cap v and line segment cap x cap y
C
angle cap v cap z cap w is congruent to angle cap y cap z cap x
D
line segment cap w cap v and line segment cap z cap y
12

What is the length of line segment BC ? Round to the nearest tenth.

A
22 point 6 in.
B
21 point 3 in.
C
14 point 3 in.
D
20 point 5 in.
13

What are the coordinates of point cap j prime ?

A
open paren negative 9 halves comma negative 4 close paren
B
open paren negative 2 comma negative 6 close paren
C
open paren negative 2 comma negative 4 close paren
D
open paren negative 9 halves comma negative 9 close paren
14

Which triangle is similar to triangle JKL ?

A
triangle LJK
B
triangle JKM
C
triangle MKL
D
triangle KML
15

What is the length of line segment AC ? Round to the nearest tenth.

A
9 point 8 cm.
B
3 point 0 cm.
C
10 point 5 cm.
D
12 point 8 cm.

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