AnswersGA-Geometry Concepts and Connections A-CRRight Triangle Similarity

Trigonometric Ratios Answers

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Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.

Question illustration
A
a is opposite, b is adjacent, c is the hypotenuse
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is the hypotenuse, c is opposite
D
a is adjacent, b is opposite, c is the hypotenuse
2
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Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.

Question illustration
A
∠P
B
∠Q
C
∠T
D
∠U
3

Triangle J K L is shown. Angle J K L is a right angle. The length of J K is 12 and the length of K L is 5.

Question illustration
A
Five-thirteenths
Option A
B
Five-twelfths
Option B
C
Twelve-thirteenths
Option C
D
Twelve-fifths
Option D
4

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
5

Triangle M N L is shown. Angle M N L is a right angle. The length of N L is 15 and the length of hypotenuse M L is 25.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Five-thirds
Option D
6

Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.

Question illustration
A
StartFraction O N Over M N EndFraction
Option A
B
StartFraction M N Over M O EndFraction
Option B
C
StartFraction O N Over M O EndFraction
Option C
D
StartFraction M N Over O N EndFraction
Option D
7

Triangle P Q R is shown. Angle Q R P is a right angle. Angle R P Q is 30 degrees and angle P Q R is 60 degrees.

Question illustration
A
StartFraction R P Over R Q EndFraction
Option A
B
StartFraction R P Over P Q EndFraction
Option B
C
StartFraction R Q Over P Q EndFraction
Option C
D
StartFraction R Q Over P R EndFraction
Option D
8

Which trigonometric ratios are correct for triangle DEF? Select three options.

A
sin(D) =
Option A
B
cos(E) =
Option B
C
tan(D) =
Option C
D
sin(E) =
Option D
E
tan(D) =
Option E
9

Julian describes an angle in the triangle using these statements.GH is the adjacent side.HK is the opposite side.GK is the hypotenuse.

Question illustration
A
∠G
B
∠H
C
∠K
D
∠H and ∠K
10

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 4.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option C
D
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
Option D

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