Subjects geometry

Quadrilateral Comparison 5432D0

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1. **Stating the problem:** We are given two quadrilaterals: one is a square and the other is a rectangle. We need to determine which statement about these two figures is true. 2. **Recall definitions:** - A square has four equal sides and four right angles. - A rectangle has four right angles but only opposite sides are equal, not all four sides. - A rhombus has four equal sides but does not necessarily have right angles. - Congruent figures are identical in shape and size. 3. **Analyze each statement:** - A: "They have a different number of right angles." Both have four right angles, so this is false. - B: "They are not congruent." Since the square has all sides equal and the rectangle does not, they are not congruent. This is true. - C: "They are rhombuses." The rectangle is not a rhombus because its sides are not all equal. False. - D: "They are squares." The rectangle is not a square. False. 4. **Conclusion:** The only true statement is B: "They are not congruent."