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Geometry and Measurement Flashcards

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

Read the first 6 Geometry and Measurement flashcards as text

  1. What is the measure of each interior angle of a regular pentagon?

    Answer: 108°

    Sum of interior angles = (5 - 2) × 180° = 540°; each angle = 540° ÷ 5 = 108°.

  2. A rectangular prism has dimensions 5 × 4 × 3. What is its surface area?

    Answer: 94

    SA = 2(lw + lh + wh) = 2(20 + 15 + 12) = 2(47) = 94.

  3. If two triangles are similar and their sides are in a ratio of 2:3, what is the ratio of their areas?

    Answer: 4:9

    The ratio of areas of similar figures equals the square of the ratio of corresponding sides: (2:3)² = 4:9.

  4. An angle measures 130°. What is its complement?

    Answer: No complement exists

    Complementary angles add to 90°; since 130° > 90°, it has no complementary angle.

  5. A line segment has endpoints A(1, 2) and B(5, 6). What is the midpoint?

    Answer: (3, 4)

    Midpoint = ((1+5)/2, (2+6)/2) = (3, 4).

  6. What is the distance between points (1, 1) and (4, 5)?

    Answer: 5

    Distance = √((4-1)² + (5-1)²) = √(9 + 16) = √25 = 5.