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To be a parallelogram, the figure needs both sets of opposite sides to be parallel. A rectangle needs to have four right angles. This means the rectangle has to be a parallelogram. However, you can have opposite sides parallel without having right angles, as long as opposite angles are equal to each other,

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Q: Why are all rectangles examples of parallelograms but all parallelograms are not rectangles?

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No. Only some parallelograms are rectangles. But all rectangles are parallelograms.

Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.

All rectangles are parallelograms, so yes there are some.

Some parallelograms are rectangles; all rectangles are parallelograms.

All rectangles are indeed parallelograms.

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In fact, some are rectangles, but not all are.

Yes, all rectangles are parallelograms. However, not all parallelograms are rectangles.

No. Only some parallelograms are rectangles. But all rectangles are parallelograms.

Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.

No. All rectangles are parallelograms. However, not all parallelograms are rectangles.

All rectangles are parallelograms, so yes there are some.

Some parallelograms are rectangles; all rectangles are parallelograms.

All parallelograms are not rectangles. The angles of a parallelogram need not be right angles and so the figure need not be a rectangle.

All rectangles are parallelograms.

All rectangles are indeed parallelograms.

No. Rectangles are parallelograms with all right angles, while parallelograms just have 2 sets of parallel lines.

the three special quadrilaterals that can be a parallelogram are a rectangle, a square, and a rhombus Actually, this is incorrect. All squares are rectangles. All rectangles are parallelograms. Therefore all squares are parallelograms. But not all parallelograms are rectangles. And not all rectangles are squares.

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