ATDH Quantitative Reasoning: Geometry and Measurement 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 180°.
Question 2: Two lines that never intersect and are always the same distance apart are called:
- Perpendicular lines
- Intersecting lines
- Parallel lines (Correct answer)
- Skew lines
Correct answer: Parallel lines
Parallel lines lie in the same plane, never intersect, and maintain a constant distance from each other.
Question 3: If two angles are supplementary, their measures add up to:
- 45°
- 90°
- 180° (Correct answer)
- 360°
Correct answer: 180°
Supplementary angles are two angles whose measures sum to 180°, forming a straight line when adjacent.
Question 4: A right angle measures exactly:
- 45°
- 90° (Correct answer)
- 120°
- 180°
Correct answer: 90°
A right angle is exactly 90° and is indicated by a small square symbol in geometric diagrams.
Question 5: The Pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c:
- a + b = c
- a² + b² = c² (Correct answer)
- a × b = c²
- a² − b² = c
Correct answer: a² + b² = c²
The Pythagorean theorem states a² + b² = c², relating the squares of a right triangle's three sides.
Question 6: An isosceles triangle has:
- All three sides equal
- No sides equal
- Exactly two sides equal (Correct answer)
- One right angle
Correct answer: Exactly two sides equal
An isosceles triangle has exactly two congruent (equal-length) sides and the base angles opposite those sides are also equal.
ATDH Quantitative Reasoning: Geometry and Measurement 1
What is the sum of the interior angles of a triangle?