Geometry Quiz

Select all the conditions for which it is possible to construct a triangle.

• A. A triangle with angle measures of 60°, 80°, and 80°.

• B. A triangle with side lengths of 4 cm, 5 cm, and 6 cm.

• C. A triangle with side lengths of 4 cm, 5 cm, and 15 cm.

• D. A triangle with side lengths of 4 cm and 5 cm, and an angle measuring 50°.

• E. A triangle with angle measures 30° and 60°, and a side length of 3 cm.

Which of the following describes a unique polygon?

• A. A triangle with angles measures of 30°, 50°, and 100°.

• B. A quadrilateral with each side length measuring 5 cm.

• C. A triangle with side lengths of 6 cm, 7 cm, and 8 cm.

• D. A triangle with side lengths 4 cm and 5 cm, and an angle measuring 50°.

Refer to the diagram shown. a. What is the value of x?

Answer explanation

x= 35

Refer to the diagram shown. b. What is the value of y?

Answer explanation

y=72.5 or 72.50

Select all the equations that represent the relationships between the angles in the diagram shown.

• 90 = 40 + b

• c + a = 90

• a + b = 90

• 180 - c = 40 + b + a

• 180 + 40 = a + b + c