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Geometric Principles and Measurement Flashcards

7 cards from real NJSLA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Geometric Principles and Measurement flashcards as text

  1. A triangle has angles measuring 47° and 63°. What is the measure of the third angle?

    Answer: 70°

    The sum of angles in a triangle is 180°, so 180 − 47 − 63 = 70°.

  2. A rectangle has a length of 12 cm and a width of 5 cm. What is the length of its diagonal?

    Answer: 13 cm

    Using the Pythagorean theorem: √(12² + 5²) = √(144 + 25) = √169 = 13 cm.

  3. Which transformation maps a figure to a congruent figure in a different position without changing its size or shape?

    Answer: Both B and C

    Both reflections and rotations are rigid motions that produce congruent figures with no size change.

  4. A cylinder has a radius of 4 inches and a height of 10 inches. What is its volume? (Use π ≈ 3.14)

    Answer: 502.4 in³

    Volume = π r² h = 3.14 × 16 × 10 = 502.4 in³.

  5. Two lines are cut by a transversal. If the co-interior (same-side interior) angles measure 112° and 68°, what is true about the two lines?

    Answer: They are parallel

    Co-interior angles are supplementary (sum = 180°) when lines are parallel; 112 + 68 = 180, so the lines are parallel.

  6. A square has a perimeter of 36 meters. What is its area?

    Answer: 81 m²

    Each side = 36 ÷ 4 = 9 m, so area = 9² = 81 m².

  7. A cone has a radius of 3 cm and a height of 8 cm. Which expression correctly represents its volume?

    Answer: (1/3)π(3)²(8)

    Volume of a cone = (1/3)πr²h = (1/3)π(9)(8).