Think Up 26

According to the diagram, how would you find the measure of ∠B?

• Subtract 90° from 180°

• Subtract 180° from the sum of 45° and 90°

• Subtract 90° from 180°, and then divide the difference by 2

• Subtract 180° from the sum of 45° and 45°

Triangle JKL is shown.

If KL = 12 centimeters, JK = 10 centimeters, and JL = 11 centimeters, arrange the angles in order from least to greatest, according to their measures.

Gracelyn has multiple sticks of different lengths to build a triangle for a class project. Which 3 lengths could Gracelyn choose to build the triangle?

• 10 cm, 22 cm, 4 cm

• 12 cm, 5 cm, 17 cm

• 13 cm, 6 cm, 6 cm

• 11 cm, 25 cm, 15 cm

Study the triangle. Which statement about △ABC is NOT true?

• BC is the longest side because it is opposite the largest angle.

• △ABC is an obtuse scalene triangle.

• AB is the shortest side because it is opposite the smallest angle.

• ∠B measures 95° because the sum of the angles in a triangle is 180°.

Lamont builds a triangular shaped fence to hide his pool pump. He already has two sections of fencing measuring 8 1/2 feet and 5 1/2 feet. Which fencing length would Lamont NOT be able to use as the third side of his fence?

• 4 ft

• 8 ft

• 12 ft

• 16 ft

Triangle XYZ is shown. If XY = 7.8 inches, YZ = 8 inches, and XZ = 7.75 inches, which statement is true?

• Z is the smallest angle measure.

• Y is the smallest angle measure.

• Z is the largest angle measure.

• X is the smallest angle measure.

Look at the figure. Find the angle measure of ∠DFG based on the given information in the diagram. Write your answer in the space provided.

Eva is running for class president. She creates a sign in the shape of an isosceles triangle to hang in the cafeteria. If the base of the triangle is 36 inches, which of the following is true about the other sides?

• One side measures 24 inches and the other 20 inches.

• The other sides must each measure 36 inches.

• The other sides must be equivalent and each measure greater than 18 inches.

• The other sides must be equivalent and each measure less than 15 inches.

Gwen forms a right triangle for a wire sculpture. The measure of the smallest angle is 1/3 the measure of the largest angle. The third angle has a measure that is twice as large as the measure of the smallest angle. What are the angle measures of Gwen's triangle?

• 30°, 60°, 90°

• 45°, 90°, 135°

• 20°, 40°, 60°

• 45°, 45°, 90°

Nat sews a triangle on an apron. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best represents the triangle Nat sews on her apron?

• A

• B

• C

• D