COMPASS Geometry 1 — Questions and Answers
Question 1: What is the sum of the interior angles of a triangle?
- 90°
- 180° (Correct answer)
- 270°
- 360°
Correct answer: 180°
The interior angles of any triangle always sum to exactly 180°.
Question 2: Two lines that lie in the same plane and never intersect are called:
- Perpendicular lines
- Transversal lines
- Parallel lines (Correct answer)
- Concurrent lines
Correct answer: Parallel lines
Parallel lines remain the same distance apart and never meet, no matter how far they extend.
Question 3: Which quadrilateral has all four sides equal in length AND all four angles equal to 90°?
- Rhombus
- Rectangle
- Trapezoid
- Square (Correct answer)
Correct answer: Square
A square satisfies both conditions: four equal sides and four right angles.
Question 4: What is the measure of each interior angle of a regular hexagon?
- 108°
- 120° (Correct answer)
- 135°
- 144°
Correct answer: 120°
Using the formula (n−2)×180°÷n with n=6 gives (4×180°)÷6 = 120°.
Question 5: An isosceles triangle is defined as a triangle with:
- All three sides equal
- No sides equal
- Exactly two sides equal (Correct answer)
- All angles equal to 60°
Correct answer: Exactly two sides equal
An isosceles triangle has exactly two sides of equal length, and the angles opposite those sides are also equal.
Question 6: Supplementary angles are two angles whose measures sum to:
- 45°
- 90°
- 180° (Correct answer)
- 360°
Correct answer: 180°
Supplementary angles add up to 180°, forming a straight line when placed together.
Question 7: If two lines are perpendicular, the angle formed between them is:
- 45°
- 60°
- 90° (Correct answer)
- 120°
Correct answer: 90°
Perpendicular lines intersect at a right angle, which measures exactly 90°.
COMPASS Geometry 1
What is the sum of the interior angles of a triangle?