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GMAT - Graduate Management Admission Quantitative: Geometry and Coordinate Geometry Flashcards

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

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  1. Line L has equation y = 3x + 4. What is the slope of a line perpendicular to L?

    Answer: -1/3

    Perpendicular lines have slopes that are negative reciprocals; the negative reciprocal of 3 is −1/3.

  2. What is the area of a triangle with base 10 and height 6?

    Answer: 30

    Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30.

  3. A line passes through the origin and the point (3, 9). What is its equation?

    Answer: y = 3x

    The slope is 9/3 = 3, and since it passes through the origin (b = 0), the equation is y = 3x.

  4. The circumference of a circle is 16π. What is the area of the circle?

    Answer: 64π

    Circumference 2πr = 16π gives r = 8; area = πr² = π(64) = 64π.

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

    Answer: 9√3

    Area of an equilateral triangle = (s²√3)/4 = (36√3)/4 = 9√3.

  6. What is the y-intercept of the line 4x − 2y = 8?

    Answer: -4

    Rearranging: −2y = −4x + 8, so y = 2x − 4; the y-intercept is −4.