QUESTION IMAGE
Question
of the pairs of figures below are congruent? consistent? yeah no yeah no consistent?
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.
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- Top-left pair: No
- Top-right pair: No
- Bottom-left pair: Yeah
- Bottom-right pair: No