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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. An exterior angle of a triangle measures 130°. One of the non-adjacent interior angles measures 75°. What is the other non-adjacent interior angle?

    Answer: 55°

    An exterior angle equals the sum of the two non-adjacent interior angles: 130° = 75° + x, so x = 55°.

  2. A rectangular prism has dimensions 4 cm × 6 cm × 9 cm. What is its total surface area?

    Answer: 228 cm²

    SA = 2(lw + lh + wh) = 2(24 + 36 + 54) = 2(114) = 228 cm².

  3. Point M is the midpoint of segment PQ. P is at (−4, 2) and M is at (1, 5). What are the coordinates of Q?

    Answer: (6, 8)

    Using midpoint formula: 1 = (−4 + x)/2 → x = 6; 5 = (2 + y)/2 → y = 8, so Q = (6, 8).

  4. Two supplementary angles are in the ratio 2:7. What are their measures?

    Answer: 40° and 140°

    2x + 7x = 180°, so 9x = 180°, x = 20°; the angles are 40° and 140°.

  5. A sphere has a diameter of 12 cm. What is its volume? (Use π ≈ 3.14)

    Answer: 904.32 cm³

    Radius = 6 cm; V = (4/3)πr³ = (4/3)(3.14)(216) = 904.32 cm³.

  6. Which quadrilateral always has diagonals that are perpendicular bisectors of each other?

    Answer: Rhombus

    In a rhombus, the diagonals are always perpendicular bisectors of each other.

  7. A scale drawing uses a scale of 1 inch : 15 feet. If a room measures 3.5 inches on the drawing, what is its actual length?

    Answer: 52.5 feet

    Actual length = 3.5 × 15 = 52.5 feet.