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Geometry Flashcards

7 cards from real PARCC 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 flashcards as text

  1. Two chords intersect inside a circle. One chord is divided into segments of 4 and 6, and the other into segments of 3 and x. What is x?

    Answer: 8

    By the intersecting chords theorem, 4 × 6 = 3 × x, so x = 24 ÷ 3 = 8.

  2. A cone has a radius of 3 and a height of 4. What is its volume? (Use π ≈ 3.14)

    Answer: 37.68

    Volume = (1/3)πr²h = (1/3)(3.14)(9)(4) = 37.68.

  3. What is the slope of a line perpendicular to a line with slope 4?

    Answer: −1/4

    Perpendicular slopes are negative reciprocals, so the slope is −1/4.

  4. In a 30-60-90 triangle, the side opposite the 30° angle is 5. What is the length of the hypotenuse?

    Answer: 10

    In a 30-60-90 triangle, the hypotenuse is twice the shortest side, so 2 × 5 = 10.

  5. A tangent line touches a circle at exactly one point. What angle does it form with the radius drawn to that point?

    Answer: 90°

    A tangent is always perpendicular to the radius at the point of tangency.

  6. A figure is dilated by a scale factor of 1/2. The image is best described as which of the following?

    Answer: Smaller and similar

    A scale factor between 0 and 1 shrinks the figure while keeping it similar.

  7. The surface area of a cube is 96 square units. What is the length of one edge?

    Answer: 4

    Surface area = 6s², so 6s² = 96, s² = 16, s = 4.