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which set has four congruent shapes?

Question

which set has four congruent shapes?

Explanation:

Define congruence

Congruent shapes have the exact same size and shape, though they may be rotated, reflected, or translated.

Analyze each option

  • Option 1: Four right triangles of different sizes and proportions (similar or different, but not congruent).
  • Option 2: Four pentagons of different sizes and orientations (not congruent).
  • Option 3: Four triangles with different side lengths and angles (not congruent).
  • Option 4: Four trapezoids of the exact same size and shape, shown in different orientations (congruent).

Answer:

  • (A) Four right triangles of different sizes
  • (B) Four pentagons of different sizes
  • (C) Four triangles of different shapes
  • (D) Four trapezoids of the same size in different orientations (Correct answer)