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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. In a right triangle, the legs are 6 and 8. What is the hypotenuse?

    Answer: 10

    By the Pythagorean theorem, √(6² + 8²) = √100 = 10.

  2. The interior angles of a triangle are in the ratio 1:2:3. What is the largest angle?

    Answer: 90°

    The parts total 6, so angles are 30°, 60°, 90°, the largest being 90°.

  3. What is the equation of a circle centered at the origin with radius 4?

    Answer: x² + y² = 16

    A circle at the origin is x² + y² = r², so x² + y² = 16.

  4. A line passes through (2, 3) with slope 1. What is its equation in slope-intercept form?

    Answer: y = x + 1

    Using y − 3 = 1(x − 2) gives y = x + 1.

  5. What is the circumference of a circle with diameter 10?

    Answer: 10π

    Circumference = πd = π × 10 = 10π.

  6. A rectangle has length 12 and width 5. What is the length of its diagonal?

    Answer: 13

    Diagonal = √(12² + 5²) = √169 = 13.

  7. Point (a, b) lies in Quadrant II. What are the signs of a and b?

    Answer: a 0

    Quadrant II has negative x-values and positive y-values.