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Geometry and Spatial Reasoning Flashcards

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

Read the first 6 Geometry and Spatial Reasoning flashcards as text

  1. What is the length of the diagonal of a square with side length 6?

    Answer: 6√2

    By the Pythagorean theorem: diagonal = √(6² + 6²) = √72 = 6√2.

  2. Angles in a triangle measure x, 2x, and 3x. What is the value of x?

    Answer: 30°

    x + 2x + 3x = 180°, so 6x = 180°, giving x = 30°.

  3. What is the surface area of a cube with side length 4?

    Answer: 96

    A cube has 6 faces, each with area 4² = 16, so surface area = 6 × 16 = 96.

  4. Which set of side lengths can form a right triangle?

    Answer: 5, 12, 13

    5² + 12² = 25 + 144 = 169 = 13², confirming it satisfies the Pythagorean theorem.

  5. Two angles are complementary. One measures 34°. What is the other?

    Answer: 56°

    Complementary angles sum to 90°, so the other angle is 90° - 34° = 56°.

  6. A trapezoid has parallel sides of 8 and 12 and a height of 5. What is its area?

    Answer: 50

    Area = (1/2)(b1 + b2) × h = (1/2)(8 + 12) × 5 = (1/2)(20)(5) = 50.