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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 slope of a horizontal line?

    Answer: 0

    A horizontal line has no vertical change, so its slope is 0.

  2. A circle has area 49π. What is its radius?

    Answer: 7

    πr² = 49π means r² = 49, so r = 7.

  3. What is the perimeter of a rectangle with length 9 and width 4?

    Answer: 26

    Perimeter = 2(9 + 4) = 26.

  4. A 45-45-90 triangle has legs of length 5. What is the hypotenuse?

    Answer: 5√2

    In a 45-45-90 triangle, the hypotenuse is leg × √2 = 5√2.

  5. The point (k, 2) lies on the line y = 4x − 6. What is k?

    Answer: 2

    Set 2 = 4k − 6, so 4k = 8 and k = 2.

  6. In a 30-60-90 triangle, the side opposite the 30° angle is 4. What is the hypotenuse?

    Answer: 8

    The hypotenuse is twice the shortest side, so 2 × 4 = 8.

  7. What is the sum of the interior angles of a pentagon?

    Answer: 540°

    Sum = (n − 2) × 180° = (5 − 2) × 180° = 540°.