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

    Answer: 120°

    Sum of interior angles = (6−2)×180° = 720°. Each angle = 720°/6 = 120°.

  2. In a right triangle, if one acute angle is 40°, what is the other acute angle?

    Answer: 50°

    The three angles sum to 180°. 90° + 40° + x = 180° → x = 50°.

  3. A sector of a circle has a central angle of 90° and a radius of 6. What is the area of the sector? (Use π ≈ 3.14)

    Answer: 28.26

    Area = (90/360) × πr² = (1/4) × 3.14 × 36 = 28.26.

  4. A ramp rises 3 feet over a horizontal distance of 4 feet. What is the angle of elevation? (Approximate)

    Answer: 37°

    tan(θ) = 3/4 = 0.75. arctan(0.75) ≈ 36.87° ≈ 37°.

  5. Two parallel lines are cut by a transversal. If one interior angle is 70°, what is the co-interior (same-side interior) angle?

    Answer: 110°

    Co-interior angles (same-side interior) are supplementary: 70° + 110° = 180°.

  6. A right triangle has an angle of 60° and a hypotenuse of 10. What is the length of the side adjacent to the 60° angle?

    Answer: 5

    cos(60°) = adjacent/hypotenuse = adjacent/10. cos(60°) = 1/2. Adjacent = 5.

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

    Answer: 96

    Surface area = 6s² = 6 × 16 = 96.

  8. The vertices of a triangle are at (0,0), (4,0), and (4,3). What is the area?

    Answer: 6

    Base = 4 (along x-axis), height = 3 (vertical leg). Area = (1/2)(4)(3) = 6.