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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. An inscribed angle in a circle intercepts an arc of 140°. What is the measure of the inscribed angle?

    Answer: 70°

    An inscribed angle equals half its intercepted arc: 140° ÷ 2 = 70°.

  2. Line segment AB has endpoints A(−3, 4) and B(5, −2). What is the length of AB?

    Answer: 10

    AB = √((5−(−3))² + (−2−4)²) = √(64 + 36) = √100 = 10.

  3. A cylinder has radius 3 in and height 10 in. What is its lateral surface area? (Use π ≈ 3.14)

    Answer: 188.4 in²

    Lateral SA = 2πrh = 2 × 3.14 × 3 × 10 = 188.4 in².

  4. A translation moves point (−1, 4) to (3, 1). What is the translation vector?

    Answer: (4, −3)

    Translation vector = (3−(−1), 1−4) = (4, −3).

  5. Two triangles are congruent by SAS. Which parts must be known to be congruent?

    Answer: Two sides and the included angle

    SAS requires two pairs of congruent sides and the included angle between them.

  6. What is the equation of a circle centered at (3, −2) with radius 5?

    Answer: (x−3)² + (y+2)² = 25

    Standard form (x−h)² + (y−k)² = r² gives (x−3)² + (y+2)² = 25.

  7. A regular hexagon has 6 sides. What is the sum of its interior angles?

    Answer: 720°

    Sum = (6 − 2) × 180° = 4 × 180° = 720°.