AnswersGeometryRight Triangle Similarity

Right Triangle Similarity — Quiz Answers

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21
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Which statements are true? Choose two correct answers.

A
triangle BCX is congruent to triangle ACX
B
triangle ABC is congruent to triangle BXC
C
triangle AXC approximates triangle CXB
D
triangle ACB approximates triangle AXC
E
triangle CXA is congruent to triangle CBA
22
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What is the value of y ?

A
4 square root of 3 units
B
8 units
C
4 units
D
2 square root of 3 units
23

What is the value of A ?

A
5 units
B
5 and 1 third units
C
6 and 2 thirds units
D
7 units
24

What is the length of line segment KJ ?

A
2 square root of 3 units
B
3 square root of 3 units
C
3 square root of 5 units
D
3 square root of 2 units
25

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

A
9 point 8 inches
B
2 point 5 inches
C
7 point 1 inches
D
5 point 0 inches
26

What is the value of x ?

A
12 units
B
15 units
C
20 units
D
24 units
27

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

A
5 point 0 inches
B
2 point 5 inches
C
7 point 1 inches
D
9 point 8 inches
28

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, line segment GJ , is drawn from the right angle to the hypotenuse. What is the length of line segment GJ ?

A
8 units
B
2 units
C
6 units
D
4 units
29

What is the value of y ?

A
2 square root of 3 units
B
4 square root of 3 units
C
4 units
D
8 units
30

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, line segment GJ , is drawn from the right angle to the hypotenuse. What is the length of line segment GJ ?

A
6 units
B
8 units
C
4 units
D
2 units
31

What is the value of c ?

A
6 units
B
7 units
C
5 units
D
4 units
32

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, line segment GJ , is drawn from the right angle to the hypotenuse. What is the length of line segment GJ ?

A
4 units
B
8 units
C
6 units
D
2 units
33

What is the value of c ?

A
5 units
B
7 units
C
6 units
D
4 units
34

Which statements are true? Choose two correct answers.

A
triangle CXA is congruent to triangle CBA
B
triangle ABC is congruent to triangle BXC
C
triangle ACB approximates triangle AXC
D
triangle AXC approximates triangle CXB
E
triangle BCX is congruent to triangle ACX
35

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

A
9 point 8 inches
B
7 point 1 inches
C
2 point 5 inches
D
5 point 0 inches
36

What is the value of x ?

A
15 units
B
12 units
C
24 units
D
20 units
37

Select the correct similarity statement.

A
triangle STR approximates triangle TQR
B
triangle STR approximates triangle RST
C
triangle STR approximates triangle RTQ
D
triangle STR approximates triangle SQR
38

What is the length of line segment KJ ?

A
3 square root of 5 units
B
3 square root of 2 units
C
3 square root of 3 units
D
2 square root of 3 units
39

What is the value of x ?

A
5 units
B
2 units
C
8 units
D
3 units

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