COMPASS Geometry 2 — Questions and Answers
Question 1: What is the slope of a horizontal line?
- Undefined
- 1
- −1
- 0 (Correct answer)
Correct answer: 0
A horizontal line has no vertical change (rise = 0), so slope = rise/run = 0.
Question 2: The midpoint of a segment with endpoints (2, 4) and (8, 10) is:
- (3, 5)
- (5, 7) (Correct answer)
- (6, 7)
- (4, 6)
Correct answer: (5, 7)
Midpoint = ((2+8)/2, (4+10)/2) = (10/2, 14/2) = (5, 7).
Question 3: Two vertical angles are formed when two lines intersect. If one angle measures 65°, the vertical angle measures:
- 25°
- 115°
- 65° (Correct answer)
- 130°
Correct answer: 65°
Vertical angles are always congruent, so both measure 65°.
Question 4: What is the distance between the points (0, 0) and (3, 4)?
- 3.5
- 7
- 5 (Correct answer)
- 6
Correct answer: 5
Distance = √(3² + 4²) = √(9 + 16) = √25 = 5.
Question 5: A circle has the equation x² + y² = 25. What is its radius?
- 25
- 5 (Correct answer)
- 12.5
- √5
Correct answer: 5
In the standard form x² + y² = r², we have r² = 25, so r = √25 = 5.
Question 6: Which statement is true about a rectangle?
- All four sides are equal in length
- The diagonals are perpendicular to each other
- Opposite sides are parallel and equal in length (Correct answer)
- All interior angles measure 60°
Correct answer: Opposite sides are parallel and equal in length
A rectangle has opposite sides that are both parallel and equal, with all four angles measuring 90°.
Question 7: Point A is at (1, 2) and point B is at (7, 10). What is the length of segment AB?
- 8
- 10 (Correct answer)
- 12
- 14
Correct answer: 10
Length = √((7−1)² + (10−2)²) = √(36 + 64) = √100 = 10.
COMPASS Geometry 2
What is the slope of a horizontal line?