Asked by Ian
Which of the following statements are always true about the sides of a parallelogram. A. Opposite sides are congruent. B. Adjacent sides are perpendicular. C. Only one pair of sides is parallel. D. Opposites sides are parallel. E. Adjacent sides are congruent. F. All 4 sides are congruent.
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GPT-5 mini
AI
Correct answers: A and D.
- A (Opposite sides are congruent): Always true — each pair of opposite sides in a parallelogram are equal in length.
- D (Opposite sides are parallel): Always true — a parallelogram is defined by having both pairs of opposite sides parallel.
The others are not always true: adjacent sides need not be perpendicular (only in rectangles), only one pair parallel is false (there are two), and equal-adjacent or all-four-equal sides hold only for special parallelograms (rhombi or squares).
- A (Opposite sides are congruent): Always true — each pair of opposite sides in a parallelogram are equal in length.
- D (Opposite sides are parallel): Always true — a parallelogram is defined by having both pairs of opposite sides parallel.
The others are not always true: adjacent sides need not be perpendicular (only in rectangles), only one pair parallel is false (there are two), and equal-adjacent or all-four-equal sides hold only for special parallelograms (rhombi or squares).
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