AnswersGeometry - Semester 1 PathwaysTriangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Solving for Side Lengths of Right Triangles Answers

0 verified answers
1
Free Preview

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
2
Free Preview

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
3

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
4

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

Question illustration
A
8 units
B
units
Option B
C
16 units
D
units
Option D
5

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
6

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
7

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.
8

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.
9

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
10

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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Using Triangle Similarity Theorems

Quiz
10 verified answers

Triangle Similarity: SSS and SAS

Quiz
10 verified answers

Triangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Solving for Side Lengths of Right Triangles…