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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.

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  1. Two parallel lines are cut by a transversal. If one co-interior (same-side interior) angle measures 112°, what is the measure of the other co-interior angle?

    Answer: 68°

    Co-interior angles are supplementary, so 180° − 112° = 68°.

  2. A circle has a diameter of 14 cm. What is its circumference to the nearest hundredth? (Use π ≈ 3.14)

    Answer: 43.96 cm

    C = πd = 3.14 × 14 = 43.96 cm.

  3. Triangle ABC is similar to triangle DEF. If AB = 6, BC = 9, and DE = 4, what is EF?

    Answer: 6

    The scale factor AB:DE = 6:4 = 3:2, so EF = BC × (2/3) = 6.

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

    Answer: −4/3

    Perpendicular slopes are negative reciprocals, so the perpendicular slope is −4/3.

  5. A right triangle has legs of length 9 and 12. What is the length of its hypotenuse?

    Answer: 15

    By the Pythagorean theorem: √(81 + 144) = √225 = 15.

  6. The interior angles of a polygon sum to 1080°. How many sides does the polygon have?

    Answer: 8

    Using (n − 2) × 180° = 1080° gives n = 8.

  7. Point M is the midpoint of segment AB where A = (2, 5) and B = (8, 1). What are the coordinates of M?

    Answer: (5, 3)

    Midpoint = ((2+8)/2, (5+1)/2) = (5, 3).