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Geometry & Trigonometry Flashcards

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

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  1. What is the slope of a line perpendicular to y = 2x + 3?

    Answer: −1/2

    Perpendicular lines have slopes that are negative reciprocals; the negative reciprocal of 2 is −1/2.

  2. What is the area of a triangle with base 8 and height 5?

    Answer: 20

    Area = (1/2) × base × height = (1/2)(8)(5) = 20.

  3. In right triangle ABC, angle C = 90° and angle A = 30°. If BC (the shorter leg) = 4, what is the length of hypotenuse AB?

    Answer: 8

    In a 30-60-90 triangle the hypotenuse is twice the shorter leg, so AB = 2 × 4 = 8.

  4. What is the circumference of a circle with diameter 10?

    Answer: 10π

    Circumference = πd = π(10) = 10π.

  5. A rectangle has a perimeter of 30 and a width of 6. What is its area?

    Answer: 54

    2(l + w) = 30 → l + w = 15 → l = 9; Area = 9 × 6 = 54.

  6. What is the value of tan(45°)?

    Answer: 1

    tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

  7. A central angle of 60° intercepts an arc of a circle with radius 6. What is the arc length?

    Answer: 2π

    Arc length = (60/360) × 2π(6) = (1/6)(12π) = 2π.