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of the pairs of figures below are congruent? consistent? yeah no yeah n…

Question

of the pairs of figures below are congruent? consistent? yeah no yeah no consistent?

Explanation:

Step1: Define congruent figures

Congruent figures have identical shape and size, meaning one can be transformed (rotated, reflected, translated) to match the other exactly, with no resizing.

Step2: Analyze top-left pair

The two circles have different diameters (sizes). The large circle spans 4 grid units, the small one spans 2. They are not congruent.

Step3: Analyze top-right pair

The pentagon and trapezoid have different shapes (5 sides vs 4 sides). They are not congruent.

Step4: Analyze bottom-left pair

The two right triangles have identical side lengths: vertical leg = 3 units, horizontal leg = 4 units, hypotenuse = 5 units. They are congruent.

Step5: Analyze bottom-right pair

The rectangle and square have different aspect ratios (the square has equal side lengths, the rectangle has unequal sides). They are not congruent.

Answer:

  • Top-left pair: No
  • Top-right pair: No
  • Bottom-left pair: Yeah
  • Bottom-right pair: No