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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. In a right triangle, one leg is 8 and the hypotenuse is 10. What is the other leg?

    Answer: 6

    By the Pythagorean theorem: 8² + b² = 10², so 64 + b² = 100, giving b = 6.

  2. What is the area of a circle with diameter 12? (Use π ≈ 3.14)

    Answer: 113.04

    Radius = 6; Area = πr² = 3.14 × 36 = 113.04.

  3. Two parallel lines are cut by a transversal. Alternate interior angles are:

    Answer: Equal

    When a transversal cuts parallel lines, alternate interior angles are always equal.

  4. A square has an area of 81 cm². What is its perimeter?

    Answer: 36 cm

    Side = √81 = 9 cm; Perimeter = 4 × 9 = 36 cm.

  5. What is the measure of each interior angle of a regular pentagon?

    Answer: 108°

    Sum of interior angles = (5-2) × 180° = 540°; each angle = 540°/5 = 108°.

  6. A cylinder has radius 3 and height 5. What is its volume? (Use π ≈ 3.14)

    Answer: 141.3

    Volume = πr²h = 3.14 × 9 × 5 = 141.3.