Geometry Homework Check 5.1

Classify the indicated triangular shape of the stained glass window in the diagram by its sides and by measuring its angles.

• acute isoceles
• isosceles obtuse
• scalene acute
• equilateral equiangular

Classify by its sides. Then determine whether it is a right triangle.

• isoceles; not right
• isoceles; right
• scalene; right
• scalene; not right

Find m∠KMN.°°°°

• 20°
• 79°
• 101°
• 5°

In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 6. Find the measure of each acute angle.°°

• 20°, 70°
• 26°, 64°
• 34°, 56°
• 23°, 57°

A ramp is designed with the profile of a right triangle. The measure of one acute angle is 2 times the measure of the other acute angle. Find the measure of each acute angle.

• 45°, 45°
• 11.25°, 78.75°
• 22.5°, 67.5°
• 30°, 60°