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.

The first one is absolutely wrong she or he is dumb as a door knob

To determine the figure that quadrilateral QRST is and the further condition it would have to satisfy to be a parallelogram, we need to understand the properties of different quadrilaterals.

A. A square has four congruent sides and four congruent angles. However, to be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. Therefore, option A is incorrect.

B. A rectangle has two pairs of congruent sides and four right angles. However, to be a parallelogram, it would have to have pairs of opposite congruent angles, not just congruent sides. Therefore, option B is incorrect.

C. A kite has two pairs of adjacent congruent sides. However, to be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. Therefore, option C is incorrect.

D. The figure is a square. A square has two pairs of opposite congruent sides and four right angles. It satisfies the condition of having pairs of opposite congruent sides, which is a requirement for a parallelogram. However, it also satisfies the further condition of having pairs of opposite congruent angles. Therefore, option D is correct.

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.

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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