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Which statement is not always true for a parallelogram? A. Consecutive angles are supplementary. B. Opposite sides are congruent. C. Diagonals bisect each other. D. It has 4 congruent angles.

Ask by Mitchell Blake. in the United States
Mar 19,2025

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D. It has 4 congruent angles.

Solución

To determine which statement is not always true for a parallelogram, let's analyze each option: A. **Consecutive angles are supplementary.** - This statement is true for all parallelograms. In a parallelogram, each pair of consecutive angles adds up to 180 degrees. B. **Opposite sides are congruent.** - This statement is also true for all parallelograms. Opposite sides of a parallelogram are always equal in length. C. **Diagonals bisect each other.** - This statement is true for all parallelograms. The diagonals of a parallelogram always bisect each other. D. **It has 4 congruent angles.** - This statement is not always true for all parallelograms. While a rectangle (a specific type of parallelogram) has 4 congruent angles, a general parallelogram does not necessarily have to have all angles equal. For example, a rhombus has opposite angles that are equal but not all four angles are congruent. Therefore, the statement that is not always true for a parallelogram is: **D. It has 4 congruent angles.**

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Beyond the Answer

While statements A, B, and C are universally true for all parallelograms, statement D is where things get interesting! A parallelogram does indeed have 4 congruent angles, but only if it’s a special type called a rectangle. In general, a parallelogram can have unequal consecutive angles, so D is not always true! If you're ever puzzled by parallelograms again, just remember: they don't have to be perfect rectangles to be considered a parallelogram. Think of them as the versatile shape chameleons of geometry—able to take on different forms while still maintaining their fundamental properties!

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