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Mathematics 21 Online
lexxii:

Which statement is true? All parallelograms are rectangles. All quadrilaterals are parallelograms. All parallelograms are quadrilaterals. All rectangles are squares.

Shadow:

What do you think the answer is?

lexxii:

I think that it is B or D, I'm not sure if all rectangles are squares or if all squares are rectangles.

Shadow:

All squares are rectangles. 4 sides, 4 right angles, 2 parallel pairs

Shadow:

But not all rectangles are squares. This is because some rectangles have sides that are not all equal. A characteristic of a square is all equal sides.

Shadow:

Some parallelograms consist of non 90 degree angles. All 90 degrees is a characteristic of rectangles.

Shadow:

Some quadrilaterals have sides that are not parallel, such as: |dw:1520359899702:dw|

Shadow:

So "All quadrilaterals are parallelograms." is incorrect

Shadow:

What do you think the answer is now? :)

lexxii:

C?

Shadow:

Yes

Shadow:

Parallelograms come in two pairs of parallel sides. That is four sides total. The only requirement for a quadrilateral is four sides.

woolyfrog:

awesome

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