# geometry

Quadrilateral QRST has two pairs of congruent sides, but it is not a parallelogram. What figure is it? What further condition would it have to satisfy to be a parallelogram?

A. The figure is a square. To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides.
B. The figure is a rectangle. To be a parallelogram, it would have to have pairs of opposite congruent angles, not just congruent sides.
C. The figure is a kite. To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides.
D. The figure is a square. To be a parallelogram, it would have to have pairs of opposite congruent angles, not just congruent sides.

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1. How does A differ from D? Answer seems to be B, but the reasoning does not seem to fit. A square is a specific type of rectangle.

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2. Squares though have to have 2 pairs of congruent sides and 2 pairs of congruent angles and rectangles only have to have 2 pairs of congruent angles, so I think it has to be B.

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