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Plane and Coordinate Geometry Flashcards

7 cards from real GRE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Plane and Coordinate Geometry flashcards as text

  1. What is the distance between the points (1, 2) and (4, 6)?

    Answer: 5

    Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.

  2. What is the midpoint of the segment joining (−2, 3) and (6, −1)?

    Answer: (2, 1)

    Midpoint = ((−2+6)/2, (3+(−1))/2) = (2, 1).

  3. What is the slope of the line through (0, −3) and (2, 5)?

    Answer: 4

    Slope = (5−(−3))/(2−0) = 8/2 = 4.

  4. A line has equation y = −2x + 7. What is its y-intercept?

    Answer: 7

    In y = mx + b, b = 7 is the y-intercept.

  5. Two lines are perpendicular. One has slope 3. What is the slope of the other?

    Answer: −1/3

    Perpendicular slopes are negative reciprocals, so −1/3.

  6. What is the area of a circle with radius 5?

    Answer: 25π

    Area = πr² = π(5)² = 25π.

  7. A triangle has a base of 8 and a height of 5. What is its area?

    Answer: 20

    Area = ½ × base × height = ½ × 8 × 5 = 20.