Triangle Geometry Quiz

Chris is given six different lengths of board and told to make a triangle with three. Which of the following lengths could Chris use to make the triangle?

• 1 m, 1 m, 2 m

• 3 m, 4 m, 5 m

• 1 m, 2 m, 5 m

• 2 m, 4 m, 8 m

A wooden doorstop is used to hold open the door to the classroom. The students are given the measure of ∠R as 52°. What could be the measures of ∠S and ∠T?

• 58° and 59°

• 64° and 60°

• 71° and 58°

• 63° and 65°

A triangle has side lengths of 3 feet and 9 feet. Which of the following measurements is the greatest possible perimeter of the triangle?

• 12 ft

• 20 ft

• 23 ft

• 25 ft

Each of the sails on Joshua’s sailboat forms a triangle. The side lengths of one sail are 13, 17, and 20. What is the measure of each side of the sail?

*the largest angle is opposite the longest side length

• XY = 13, XZ = 20, YZ = 17

• XY = 17, XZ = 13, YZ = 20

• XY = 20, XZ = 17, YZ = 13

• XY = 13, XZ = 17, YZ = 20

A triangle with two congruent sides has one angle that measures 38°. What are possible angle measurements of the other two angles?

• 38° and 104°

• 38° and 90°

• 70° and 70°

• 66° and 114°

A sticker is in the shape of a triangle. It has a right angle. What could be the measures of the other two angles?

• 23° and 60°

• 48° and 42°

• 37° and 55°

• 12° and 68°

Jenny notices that the playground slide forms a triangle with the ground as one of the sides. The side lengths of triangle FGH are 7.8, 11, and 12. Which of the following are possible angle measurements for the triangle?

*the largest angle is opposite the longest side length

• m∠F = 60°, m∠G = 80°, m∠H = 40°

• m∠F = 40°, m∠G = 60°, m∠H = 80°

• m∠F = 60°, m∠G = 40°, m∠H = 80°

• m∠F = 80°, m∠G = 60°, m∠H = 40°

Which of the following is a possible third side length of a triangle with side measures of 10 inches and 1 1/2 feet?

• 5/12 foot

• 1/2 foot

• 2 1/12 feet

• 2 1/2 feet

Scott labeled the side lengths for triangle JKL as shown below. What mistake did Scott make?

*the longest side is opposite the largest angle

• These side lengths could not form a triangle.

• Side LK should be twice as long as side JL.

• The longest side should be across from ∠K.

• Side JL should be shorter than JK.

Ann drove from town Q to R to S to Q. She drove 52 km in all. What are the possible side lengths?

• QS = 18 km, RS = 14 km

• QS = 20 km, RS = 22 km

• QS = 14 km, RS = 18 km

• QS = 12 km, RS = 16 km