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Geometry Flashcards

7 cards from real Regents 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. In a circle, a central angle measures 80°. What is the measure of the arc it intercepts?

    Answer: 80°

    A central angle equals the measure of its intercepted arc, so the arc is 80°.

  2. What is the volume of a rectangular prism with length 5 m, width 3 m, and height 4 m?

    Answer: 60 m³

    Volume = l × w × h = 5 × 3 × 4 = 60 m³.

  3. Two secants are drawn from an external point. The external segment of the first secant is 4 and its whole length is 9. The external segment of the second secant is 3. What is the whole length of the second secant?

    Answer: 12

    Secant-secant theorem: 4 × 9 = 3 × x, so x = 12.

  4. Which transformation preserves both shape and size (is an isometry)?

    Answer: Reflection

    Reflection is a rigid motion that preserves all distances and angles.

  5. A trapezoid has bases of 8 cm and 14 cm and a height of 5 cm. What is its area?

    Answer: 55 cm²

    Area = ½ × (8 + 14) × 5 = 55 cm².

  6. In triangle ABC, angle A = 45° and angle B = 75°. What is the measure of angle C?

    Answer: 60°

    Angle C = 180° − 45° − 75° = 60°.

  7. The diagonal of a square is 10 cm. What is the side length of the square?

    Answer: 5√2 cm

    For a square, diagonal = s√2, so s = 10 ÷ √2 = 5√2 cm.