Download I»iM Use Properties of Parallelograms

Geometry
8.2 – Use Properties of Parallelograms
Learning Target: By the end of today’s lesson we will be able to successfully find angle and side measures in
parallelograms.
If a quadrilateral is a parallelogram, then its opposite sides are congruent.
If PQRS is a parallelogram, then _______  RS and QR  ________
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
If PQRS is a parallelogram, then P  ________ and ________  S.
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
If PQRS is a parallelogram, then x° + y° = ________
1) Find the values of each variable.
a)
b)
2) As shown, a gate contains several parallelograms. Find mADC when mDAB = 65°.
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
QM  ________ and PM  __________
3) The diagonals of parallelogram VWXY intersect at point Z. Find the coordinates of Z.
4) Given that FGHJ is a parallelogram, find MH and FH.
PROPERTIES OF A PARALLELOGRAM:
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Opposite sides are congruent
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Opposite angles are congruent
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Consecutive angles are supplementary
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Diagonals bisect each other