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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. Point P has coordinates (−3, 4). In which quadrant does P lie?

    Answer: Quadrant II

    A point with a negative x-coordinate and positive y-coordinate lies in Quadrant II.

  2. A cylinder has a radius of 3 and a height of 10. What is its volume?

    Answer: 90π

    Volume of a cylinder = πr²h = π(9)(10) = 90π.

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

    Answer: 90°

    The angles sum to 180°; with ratio 1:2:3 (6 total parts), each part = 30°, so the largest angle = 3 × 30° = 90°.

  4. A rectangle has vertices at (0,0), (5,0), (5,4), and (0,4). What is the length of its diagonal?

    Answer: √41

    Diagonal = √(5² + 4²) = √(25 + 16) = √41.

  5. If the sum of the interior angles of a polygon is 540°, how many sides does the polygon have?

    Answer: 5

    Sum of interior angles = (n − 2) × 180°; setting this equal to 540° gives n − 2 = 3, so n = 5.

  6. What is the midpoint of the segment connecting (2, 4) and (8, 10)?

    Answer: (5, 7)

    Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2) = ((2+8)/2, (4+10)/2) = (5, 7).