AnswersAZ-Geometry A MA201Isosceles Triangles

Right Triangle Similarity Answers

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1
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ΔQRS is a right triangle.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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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.

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A
7.2 units
B
7.8 units
C
8.6 units
D
9.4 units
3

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
4

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.

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A
13.0 units
B
28.8 units
C
31.2 units
D
33.8 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

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.

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A
x units
B
x units
Option B
C
x units
Option C
D
2x units
7

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.

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A
9 units
B
11 units
C
15 units
D
16 units
8

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.

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A
2 units
B
4 units
C
6 units
D
8 units
9

Triangle MRN is created when an equilateral triangle is folded in half.

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A
units
Option A
B
4 units
C
units
Option C
D
8 units
10

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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A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
11

Question text not available

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1
12 units
1
15 units
2
20 units
2
24 units
12

Line segment JL is an altitude in triangle JKM.

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J
JKM is a right triangle because KL + LM = 15.3.
J
JKM is a right triangle because KL + LM = 18.2.
J
JKM is not a right triangle because KL + LM ≠ 15.3.
J
JKM is not a right triangle because KL + LM ≠ 18.2.
13

Question text not available

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Δ
ΔJKM
Δ
ΔMKL
Δ
ΔKML
Δ
ΔLJK
14

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

Question illustration
A
Option
Option A
∠
∠B ≅ ∠Y
C
Option
Option C
∠
∠B ≅ ∠Z
16

Triangle MRN is created when an equilateral triangle is folded in half.

Question illustration
u
units
Option u
4
4 units
u
units
Option u
8
8 units
17

Points Q and R are midpoints of the sides of triangle ABC.

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1
10 units
1
14 units
2
20 units
3
32 units
18

In the diagram, .

Question illustration
W
WV and XY
W
WV and ZY
∠
∠VZW ≅ ∠YZX
∠
∠VWZ ≅ ∠YXZ
19

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
(
(-2,-4)
(
(-2,-6)
C
Option
Option C
D
Option
Option D
20

Question text not available

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5
58 cm
7
75 cm
8
88 cm
1
116 cm

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