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Similarity & Proportionality Flashcards

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

Read the first 7 Similarity & Proportionality flashcards as text

  1. The midsegment of a triangle is parallel to the third side and is what fraction of its length?

    Answer: One half

    A midsegment joins two midpoints and is half the length of the third side.

  2. Triangle ABC ~ triangle DEF. If AB = 8, DE = 12, and BC = 10, what is EF?

    Answer: 15

    The ratio is 8/12 = 10/EF, so EF = 15.

  3. Which statement about similar figures is always true?

    Answer: Corresponding angles are equal

    Similar figures always have equal corresponding angles even if sizes differ.

  4. A scale model car is built at 1:18. If the real car is 180 inches long, the model is:

    Answer: 10 inches

    Divide 180 by 18 to get 10 inches.

  5. In similar triangles, the ratio of corresponding medians equals the ratio of:

    Answer: Corresponding sides

    All corresponding linear measures, including medians, share the side ratio.

  6. If leg segments on the hypotenuse are 4 and 16, the altitude to the hypotenuse is:

    Answer: 8

    The altitude is the geometric mean: √(4 × 16) = √64 = 8.

  7. Two similar triangles have areas in the ratio 25:49. Their perimeters are in the ratio:

    Answer: 5:7

    Perimeter ratio is the square root of the area ratio: √25:√49 = 5:7.