Angle and Triangle Review

Which BEST describes the construction of a triangle if given the segment lengths of 3 cm, 5 cm, and 3 cm?

• Unique Triangle

• More Than One Triangle

• Triangle Not Possible

• Cannot be determined

You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. Which triangle cannot exist?

• 30°, 60°, 90°

• 45°, 55°, 80°

• 30°, 45°, 105°

• 30°, 45°, 55°

a 70° angle, a 30° angle, an 80° angle

How many triangles can be made with the angle measures shown above?

• no triangle

• a unique triangle

• more than one triangle

• the answer cannot be determined

Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.

sides: 3 inches, 9 inches, and 8 inches

• no triangle

• a unique triangle

• more than one triangle

• the answer cannot be determined

Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm. What is the measure of the third angle of the triangle?

• 16 degrees

• 57 degrees

• 139 degrees

• 196 degrees

Which BEST describes the construction of a triangle if given the segment lengths of 5 cm, 5 cm, and 8 cm?

• unique triangle

• more than one triangle

• triangle not possible

• cannot be determined

Which set of segment lengths could be used to construct a triangle?

• 3, 7, 12

• 5, 7, 17

• 5, 3, 12

• 12, 6, 10