CHSPE Geometry 2 — Questions and Answers
Question 1: A triangle has angles measuring 45° and 65°. What is the measure of the third angle?
- 60°
- 70° (Correct answer)
- 80°
- 90°
Correct answer: 70°
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?
- Parallelogram
- Rectangle
- Trapezoid (Correct answer)
- Rhombus
Correct answer: Trapezoid
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)
- 15.7 cm
- 31.4 cm (Correct answer)
- 62.8 cm
- 78.5 cm
Correct answer: 31.4 cm
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:
- Perpendicular
- Parallel (Correct answer)
- Intersecting
- Skew
Correct answer: Parallel
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?
- 15 ft (Correct answer)
- 18 ft
- 21 ft
- 13 ft
Correct answer: 15 ft
Using the Pythagorean theorem: √(12² + 9²) = √(144 + 81) = √225 = 15 ft.
Question 6: What is the area of a parallelogram with a base of 8 m and a height of 5 m?
- 13 m²
- 26 m²
- 40 m² (Correct answer)
- 80 m²
Correct answer: 40 m²
Area of a parallelogram = base × height = 8 × 5 = 40 m².
Question 7: A right angle measures exactly:
- 45°
- 90° (Correct answer)
- 180°
- 360°
Correct answer: 90°
By definition, a right angle measures exactly 90°.
CHSPE Geometry 2
A triangle has angles measuring 45° and 65°.
What is the measure of the third angle?