Topic 6: Understand Relationships Involving Triangles Form B

Which of the following are the possible lengths to complete a triangle with side lengths of 11 in. and 14 in.?

• Greater than 3 in., less than 26 in.

• Greater than 3 in., less than 25 in.

• Greater than 5 in., less than 25 in.

• Greater than 5 in., less than 26 in.

Two angles lie along a straight line. If m∠A is four times the sum of m∠Bplus 12.5°, how many degrees is m∠B?

• 26

• 25

• 27

• 23

A triangular bookshelf has a base of 10 inches, 11 inches, and 15 inches. Will the bookshelf fit in the corner of a square living room? Explain.

• yes, because it is a right triangle.

• yes, because it is an equilateral triangle.

• No, because it is not a right triangle.

• No, because it is a scalene triangle.

Calvin’s house is located at (0, 0) on a coordinate plane. The school is 3 miles directly south of his house. After school, he takes a bus 2 miles directly west to the sports complex.

How many miles long is a straight line between Calvin’s house and the sports complex? Round to the nearest tenth.

• 3.6

• 3.8

• 3.5

• 3.4

A right triangle has side lengths of 12 inches and 5 inches. What is the length of the hypotenuse, in inches?

• 13

• 11

• 12

• 10

How many degrees is the sum of the measures of the interior angles of a regular polygon with 20 sides?

• 2,700°

• 2,880°

• 3,240°

• 3,600°

The three side lengths of four triangles are given. Which triangle is a right triangle?

• Triangle 1: 10, 265, 14

• Triangle 2: 6, 8, 10

• Triangle 3: 4, 14, 15

• Triangle 4: 9, 2140, 14

In the figure, m∠1 = (5x + 4)°, m∠2 =(6x - 6)° and m∠3 = (10x + 12)°. What is m∠3, in degrees?

• 152

• 153

• 154

• 155

Ivan draws △PQR on the coordinate plane.

What number of units is the perimeter of △PQR? Round to the nearest unit.

• 36

• 37

• 39

• 35

Maliki is building a ramp with a base of 4 feet and a vertical height of 2 feet. What is the length of the ramp? Round to the nearest tenth.

• 2.0 ft

• 3.5 ft

• 4.5 ft

• 6.0 ft