AnswersRMA FL-1206310-Geometry Semester 2Triangle Classification Theorems

Special Right Triangles Answers

14 verified answers3 views
5

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Question illustration
A
Substitute values for a and c into the original Pythagorean theorem equation.
B
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
C
Determine the principal square root of both sides of the equation.
D
Divide both sides of the equation by 2.
6

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
8

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

Question illustration
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
14

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.
15

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
16

Square A B C D is shown. Each side is 30 yards long. A diagonal is drawn from point D to point B to form 2 triangles.

Question illustration
A
15 yd
B
30 yd
C
yd
Option C
D
yd
Option D
17

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
18

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
19

Triangle MNO is an equilateral triangle with sides measuring units.

Question illustration
A
12 units
B
24 units
C
36 units
D
72 units

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