AnswersRMA FL-1206310-Geometry Semester 2Special Right Triangles

Special Right Triangles Answers

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1
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Triangle MNO is an equilateral triangle with sides measuring units.

Question illustration
A
12 units
B
24 units
C
36 units
D
72 units
2
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The hypotenuse of a 45°-45°-90° triangle measures 18 cm.

Question illustration
A
9 cm
B
cm
Option B
C
18 cm
D
cm
Option D
3

Line segment YV of rectangle YVWX measures 24 units.

Question illustration
A
8 units
B
units
Option B
C
12 units
D
units
Option D
4

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Question illustration
A
6.5 ft
B
ft
Option B
C
13 ft
D
ft
Option D
5

Which triangle is a 30°-60°-90° triangle?

A
A triangle has side lengths of 5, 10, and 5 StartRoot 3 EndRoot.
Option A
B
A triangle has side lengths of 5, 15, and 5 StartRoot 3 EndRoot.
Option B
C
A triangle has side lengths of 5, 10, and 10 StartRoot 3 EndRoot.
Option C
D
A triangle has side lengths of 10, 15, and 5 StartRoot 3 EndRoot
Option D
6

Consider triangle QRS. The legs each have a length of 10 units.

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

The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.

A
YZ = 9 cm
B
XZ = 9 cm
C
XZ = cm
Option C
D
XZ = 2(XY)
E
YZ is the longest segment in △XYZ.
8

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

Question illustration
A
14 units
B
units
Option B
C
18 units
D
units
Option D
9

Each leg of a 45°-45°-90° triangle measures 12 cm.

Question illustration
A
6 cm
B
cm
Option B
C
12 cm
D
cm
Option D
10

Which statements regarding triangle DEF are correct? Select three options.

A
EF is the longest side of △DEF.
B
DF = 6 cm
C
DE = cm
Option C
D
DF = cm
Option D
E
DE = cm
Option E

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