Practice Test GeeksRegents Practice Test
← All Regents Flashcard Decks

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 right triangle, sin(θ) = 5/13. What is cos(θ)?

    Answer: 12/13

    cos(θ) = √(1 − (5/13)²) = √(144/169) = 12/13.

  2. What is the image of point (4, −3) after a 90° counterclockwise rotation about the origin?

    Answer: (3, 4)

    A 90° CCW rotation maps (x, y) → (−y, x), so (4, −3) → (3, 4).

  3. The volume of a cone is 150π cm³ and its height is 18 cm. What is its radius?

    Answer: 5 cm

    V = (1/3)πr²h → 150π = (1/3)π r²(18) → r² = 25 → r = 5 cm.

  4. Two chords AB and CD intersect inside a circle at point P. If AP = 3, PB = 8, and CP = 4, what is PD?

    Answer: 6

    Intersecting chords: AP × PB = CP × PD → 3 × 8 = 4 × PD → PD = 6.

  5. Which set of side lengths can form a triangle?

    Answer: 4, 5, 8

    For {4, 5, 8}: 4+5=9 > 8, 4+8 > 5, and 5+8 > 4 — all triangle inequality conditions hold.

  6. A dilation centered at the origin with scale factor 3 maps point (2, −1) to which point?

    Answer: (6, −3)

    Multiply each coordinate by 3: (2×3, −1×3) = (6, −3).

  7. A tangent and a secant are drawn from an external point. The tangent length is 6 and the external segment of the secant is 3. What is the whole length of the secant?

    Answer: 12

    Tangent² = external × whole: 36 = 3 × whole → whole = 12.