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Geometry and Trigonometry Flashcards

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

Read the first 8 Geometry and Trigonometry flashcards as text

  1. A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?

    Answer: 10

    By the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100, so c = 10.

  2. The area of a circle with radius 5 is closest to which value? (Use π ≈ 3.14)

    Answer: 78.5

    Area = πr² = 3.14 × 25 = 78.5.

  3. Two angles of a triangle measure 55° and 75°. What is the measure of the third angle?

    Answer: 50°

    Sum of angles in a triangle = 180°. Third angle = 180 − 55 − 75 = 50°.

  4. In a right triangle, sin(θ) = 3/5. What is cos(θ)?

    Answer: 4/5

    sin²(θ) + cos²(θ) = 1. cos²(θ) = 1 − 9/25 = 16/25. cos(θ) = 4/5.

  5. A rectangle has a length of 12 and a width of 7. What is its perimeter?

    Answer: 38

    Perimeter = 2(l + w) = 2(12 + 7) = 2(19) = 38.

  6. A circle has a circumference of 20π. What is its radius?

    Answer: 10

    C = 2πr → 20π = 2πr → r = 10.

  7. In a right triangle, the angle opposite the hypotenuse is:

    Answer: 90°

    By definition, a right triangle contains one 90° angle, and the side opposite to it is the hypotenuse.

  8. What is the volume of a rectangular box with length 4, width 3, and height 5?

    Answer: 60

    Volume = l × w × h = 4 × 3 × 5 = 60.