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DSAT Geometry and Trigonometry Flashcards

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

Read the first 6 DSAT Geometry and Trigonometry flashcards as text

  1. In a 30-60-90 triangle, the side opposite the 30° angle is 6. What is the length of the hypotenuse?

    Answer: 12

    In a 30-60-90 triangle, the hypotenuse is twice the shortest side: 2 × 6 = 12.

  2. What is the slope of a line passing through the points (2, 3) and (6, 11)?

    Answer: 2

    Slope = (y₂ − y₁) / (x₂ − x₁) = (11 − 3) / (6 − 2) = 8 / 4 = 2.

  3. A sector of a circle has a central angle of 90° and a radius of 8. What is the area of the sector?

    Answer: 16π

    Area of a sector = (θ/360) × πr² = (90/360) × π(64) = (1/4) × 64π = 16π.

  4. The exterior angle of a triangle measures 120°. If one of the non-adjacent interior angles is 45°, what is the other non-adjacent interior angle?

    Answer: 75°

    An exterior angle equals the sum of the two non-adjacent interior angles: 120° = 45° + x, so x = 75°.

  5. If sin(θ) = 3/5 in a right triangle, what is cos(θ)?

    Answer: 4/5

    Using a 3-4-5 right triangle where sin(θ) = 3/5, the adjacent side is 4, so cos(θ) = 4/5.

  6. What is the area of a trapezoid with parallel sides of length 8 and 12, and a height of 5?

    Answer: 50

    Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 50.