AnswersFL-1206310-Geometry Sem 2Right Triangle Similarity

Special Right Triangles Answers

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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
2
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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
3

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12.

Question illustration
A
13.0 units
B
28.8 units
C
31.2 units
D
33.8 units
4

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
5

In the diagram, the length of is twice the length of .

Question illustration
A
units
Option A
B
units
Option B
C
15 units
D
20 units
6

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.

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

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
8

Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right angle. The length of A B is 17 and the length of A C is 8.

Question illustration
A
9 units
B
11 units
C
15 units
D
16 units
9

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side. The length of the altitude is x. The other 2 sides are congruent.

Question illustration
A
x units
B
x units
Option B
C
x units
Option C
D
2x units
10

Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, , is drawn from the right angle to the hypotenuse.

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units

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