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This is false. Every rectangle is a parallelogram, but the converse (your statement) is not true.
Imagine the set of all quadrilaterals (4 sided polygons). Within that set would be sets of kites, parallelograms, and other quadrilaterals.
Within the parallelogram set, would be rectangles, rhombuses and other parallelograms. Then if a rhombus is also a rectangle, it would be a square, that would be the intersection of the set of rectangles and set of rhombuses. Hope this helps.
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Earn +20 ptsQ: Every parallelogram is a rectangle true or false?
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Continue Learning about Geometry
If a circle is circumscribed about a parallelogram the parallelogram must be a rectangle. True or False?
true
True or false if a parallelogram inscribed in a circle it must be a rectangle?
True.
Every parallelogram is a rhombus true or false?
False.Every parallelogram is not a rhombus, but every rhombus is also a parallelogram.
If a quadrilateral is a parallelogram and the diagonals are perpendicular then it must be a rectangle?
False. ^^^ Wronnngg! Its True (Apex). ^ No you are wrong, It is false.
A quadrilateral with one right angle must be a rectangle true or false?
FALSE because a rectangle has 4 right angles.
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