AnswersVA-Geometry CRCumulative Exam

Right Triangle Similarity Answers

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1
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ΔQRS is a right triangle.

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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In the diagram, the length of is twice the length of .

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A
units
Option A
B
units
Option B
C
15 units
D
20 units
3

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

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units
Option A
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units
Option B
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units
Option C
D
units
Option D
4

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

Question illustration
A
4 units
B
5 units
C
6 units
D
7 units
5

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

A
2.5 inches
B
5.0 inches
C
7.1 inches
D
9.8 inches
6

Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

Question illustration
A
5 units
B
units
Option B
C
units
Option C
D
7 units
7

Which statements are true? Select two options.

A
ΔABC ΔBXC
Option A
B
ΔAXC ~ ΔCXB
C
ΔBCX ΔACX
Option C
D
ΔACB ~ ΔAXC
E
ΔCXA ΔCBA
Option E
8

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of 3 and 3.

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units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
9

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of S R is x.

Question illustration
A
12 units
B
15 units
C
20 units
D
24 units
10

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W X is b, the length of X Y is a, the length of Y Z is 5, and the length of W Y is 6.

Question illustration
A
7.2 units
B
7.8 units
C
8.6 units
D
9.4 units

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