Properties of Triangles
Area
Volume
*Honors Category*
Randoms
100

In triangle ABC, the measure of angle BAC is 30 degrees, and the measure of the angle BCA is 85 degrees. What is the measure of angle CBA in degrees? 

The measure of angle 65 degrees. 

100
  1. A floor plan is shaped like a trapezoid. The dimensions are shown in the diagram below. 

What is the area of the floor plan in square millimeters (should be feet)? 

The area of the floor is 165 sq mm. 

100
  1. Alex eats a bowl of cereal every morning. The dimensions of his favorite cereal are shown in the picture below. 


What is the volume of the cereal box in cubic inches? Be sure to use correct place value. 

The volume is 231 cubic in. 

100
  1. In the triangle below, what is the value of x in degrees? 

x = 109 degrees

100

Which expression is not equivalent to 19-s? 

a. s - 19

b. (19-s) + 0

c. (19 - s) * 1

d. -s + 19


The answer is A. 

200

Which set of angle measures cannot be the angle measures of a triangle? 

a. 30, 60, 90

b. 110, 50, 30

c. 60, 60, 60

d. 45, 40, 90

The correct answer is C. 

200
  1. Betsy drew a triangle. The triangle is shown below. 



What is the area of triangle ABC in square units? 

The area of triangle ABC is 30 sq units. 

200
  1. Find the volume for the rectangular prism. 

Be sure to use the correct place value. 

The volume is 30.375 cubic meters. 

200
  1. What is the measure of angle A in the triangle? 


The measure of angle A is 60 degrees. 

200
  1. During lunch, students went to the snack bar. 30 students bought spicy chips, 10 students bought slushies, and 20 students bought cookies. 


What percentage of these 60 students bought only spicy chips at the snack bar during lunch? 

The percentage of students who bought only spicy chips is 50%. 

300

There is a triangle KLM. The measure of angle K is 75 degrees. The measure of angle L is 50 degrees. What is the measure of angle M in degrees? 

The measure is 55 degrees. 

300
  1. Aiden cut out a triangle and wanted to paint it. The triangle is shown below. 

What is the area of the triangle? 

The area is 84 sq units. 

300
  1. Ashlyn got a kitten for her birthday and she went to the store to buy a litter box. She needed to figure out how much kitty litter to buy. The dimensions of the box are shown below. 



What is the volume of the litter box? 

The volume is 75 cubic inches. 

300
  1. Using the diagram below, angle 3 is 130 degrees. Angle 4 is 50 degrees. 


What is the measure of angle 6? 



Angle 6 is 130 degrees. 

300

Which two expressions are equivalent? 

a. 6 + ( 7 * y) and (6 + 7) * y

b.  (12 /y) + 2 and 2 + (y /12) 

c. 14 - (y * 4) and 14 - (4 * y)

d.  (3 * y) + 7 and 3 + (7 * y)




The answer is C. 

400

Which of the following side length will form a triangle? 

a. 5, 7, and 10

b. 1, 2, and 3

c. 4, 5, and 10

d. 2, 7, and 12

The answer is A. 

400
  1. Aaron went to the movies to watch the new Spiderman movie. He got a small popcorn and Icee for the movie. The dimensions of the popcorn container are shown in the picture below. 


Which equation can be used to find A, the area of the face of the popcorn box in square inches? 

The equation would be A = 1/2 (15 + 12) * 6. 

400
  1. The base of an aquarium is shown below. 

The height of the aquarium is 12 feet. What is the volume of the aquarium? 

The volume is 1,008 cubic feet. 

400
  1. Using the same diagram as before, angle 1 is 50 degrees. Angle 7 is 130 degrees. 

What is the measure of angle 2? 

Angle 2 is 130 degrees. 

400

A woman is selling puppies. One puppy weighs 9.3 pounds. The other puppy weighs 1 ½ times more. 


How many pounds does the second puppy weigh? 

The second puppy weighs 13.95 pounds. 

500

Which of the following will not form a triangle? 

a. 3, 5, and 3

b. 15, 20, and 23

c. 6, 8, and 10

d. 2, 2, and 4

The correct answer is D. 

500
  1. A trapezoid has an area of 20 square cm. The two bases of the trapezoid measure 6 cm and 4 cm. What is the approximate height of the trapezoid? 

The height is 4 cm. 

500
  1. The base of a rectangular prism is shown below. 


If the height of the prism is 2 inches, what is the volume of the prism in cubic inches? 

The volume is 18.86 cubic inches. 

500

What are supplementary angles? 

Two angles that measure to 180 degrees. 

500
  1. Gianna wants to paint her bedroom wall. The dimensions of her wall are shown below. 

What is the area of her wall in square inches (should be feet)? 

The area is 25.5 square inches.