CHSPE Geometry 2

Question 1

A triangle has angles measuring 45° and 65°. What is the measure of the third angle?

Accepted Answer

70°

Answer

The sum of interior angles in a triangle is 180°, so 180 − 45 − 65 = 70°.

Question 2

Which of the following best describes a quadrilateral with exactly one pair of parallel sides?

Accepted Answer

Trapezoid

Answer

A trapezoid has exactly one pair of parallel sides, distinguishing it from parallelograms.

Question 3

A circle has a diameter of 10 cm. What is its circumference? (Use π ≈ 3.14)

Accepted Answer

31.4 cm

Answer

Circumference = π × d = 3.14 × 10 = 31.4 cm.

Question 4

Two lines are cut by a transversal. If alternate interior angles are equal, the lines are:

Accepted Answer

Parallel

Answer

Equal alternate interior angles are a property of parallel lines cut by a transversal.

Question 5

A rectangular room is 12 ft long and 9 ft wide. What is the length of the diagonal?

Accepted Answer

15 ft

Answer

Using the Pythagorean theorem: √(12² + 9²) = √(144 + 81) = √225 = 15 ft.

California High School Proficiency Exam Practice Test