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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. The line y = 3x + 2 is parallel to which line?

    Answer: y = 3x − 5

    Parallel lines share the same slope of 3.

  2. What is the area of a square whose diagonal is 6√2?

    Answer: 36

    A diagonal of 6√2 means side 6, so area = 6² = 36.

  3. A central angle of 90° in a circle of radius 4 cuts off an arc of what length?

    Answer: 2π

    Arc = (90/360) × 2π(4) = ¼ × 8π = 2π.

  4. The x-intercept of the line 2x + 3y = 12 is at what point?

    Answer: (6, 0)

    Set y = 0: 2x = 12, so x = 6, giving (6, 0).

  5. An equilateral triangle has side length 6. What is its area?

    Answer: 9√3

    Area = (√3/4)s² = (√3/4)(36) = 9√3.

  6. If point P is reflected over the x-axis from (3, 5), what is its image?

    Answer: (3, −5)

    Reflecting over the x-axis negates the y-coordinate, giving (3, −5).

  7. Two angles are supplementary and one is 65°. What is the other?

    Answer: 115°

    Supplementary angles sum to 180°, so 180° − 65° = 115°.