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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. On a coordinate plane, point A is at (2, 3) and point B is at (8, 11). What is the length of segment AB?

    Answer: 10

    Distance = √((8−2)² + (11−3)²) = √(36 + 64) = √100 = 10.

  2. A regular hexagon has a side length of 6 cm. How many lines of symmetry does it have?

    Answer: 6

    A regular hexagon has 6 lines of symmetry — three through opposite vertices and three through midpoints of opposite sides.

  3. What is the surface area of a cube with edge length 5 cm?

    Answer: 150 cm²

    A cube has 6 faces, each with area 5² = 25 cm², so total surface area = 6 × 25 = 150 cm².

  4. Triangle ABC is similar to triangle DEF. If AB = 6, BC = 9, and DE = 10, what is EF?

    Answer: 15

    The scale factor is DE/AB = 10/6 = 5/3, so EF = BC × (5/3) = 9 × 5/3 = 15.

  5. A circle has a circumference of 31.4 cm. What is its area? (Use π ≈ 3.14)

    Answer: 78.5 cm²

    C = 2πr → r = 31.4/(2 × 3.14) = 5 cm; Area = πr² = 3.14 × 25 = 78.5 cm².

  6. Which of the following sets of side lengths forms a valid triangle?

    Answer: 5, 7, 11

    The Triangle Inequality requires the sum of any two sides to exceed the third; 5 + 7 = 12 > 11, so this set is valid.

  7. A trapezoid has parallel bases of 8 m and 14 m, and a height of 6 m. What is its area?

    Answer: 66 m²

    Area of trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 14) × 6 = ½ × 22 × 6 = 66 m².