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Geometry & Trigonometry Flashcards

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

Read the first 7 Geometry & Trigonometry flashcards as text

  1. What is the area of a trapezoid with parallel bases of 6 and 10 and a height of 4?

    Answer: 32

    Area = ½(b₁ + b₂)h = ½(6 + 10)(4) = ½(16)(4) = 32.

  2. What is the distance between points (1, 2) and (4, 6) in the coordinate plane?

    Answer: 5

    Distance = √((4−1)² + (6−2)²) = √(9 + 16) = √25 = 5.

  3. What is the measure of each interior angle of a regular hexagon?

    Answer: 120°

    Interior angle = (n−2)×180°/n = (6−2)×180°/6 = 720°/6 = 120°.

  4. Given that cos(60°) = 0.5, what is sin(30°)?

    Answer: 0.5

    Sine and cosine are cofunctions: sin(θ) = cos(90°−θ), so sin(30°) = cos(60°) = 0.5.

  5. A circle has an area of 49π. What is its radius?

    Answer: 7

    From A = πr², 49π = πr², so r² = 49 and r = 7.

  6. Two angles of a triangle measure 45° and 75°. What is the measure of the third angle?

    Answer: 60°

    The three angles of a triangle sum to 180°: 180° − 45° − 75° = 60°.

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

    Answer: 96

    Surface area = 6s² = 6(4²) = 6(16) = 96.

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