Bellringer Have your Homework (p. 356 #7-11, p. 364 #9-27 skip #13) and Notes out on your Desk Work on p. 363 #1 – 5.

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6.3 Proving that a Quadrilateral is a Parallelogram

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Presentation transcript:

Bellringer Have your Homework (p. 356 #7-11, p. 364 #9-27 skip #13) and Notes out on your Desk Work on p. 363 #1 – 5

Pop Quiz!!

Section 6-3: Proving a Quadrilateral is a Parallelogram SPI 3108.4.3 Identify, describe and/or apply the relationships and theorems involving different types of quadrilaterals

Rules from Yesterday If a quadrilateral is a parallelogram, then… Its opposite sides are parallel Its opposite sides are congruent Its consecutive angles are supplementary Its opposite angles are congruent Its diagonals bisect each other

Converses If both pairs of opposite sides are parallel, … If both pairs of opposite sides are congruent,… If an angle is supplementary to both of its consecutive angles,… If both pairs of opposite angles are congruent, … If the diagonals bisect each other, … … Then the quadrilateral is a parallelogram!

One New Theorem… If one pair of opposite sides is BOTH congruent and parallel, then the quadrilateral is a parallelogram

Questions “Can you prove that the quadrilateral is a parallelogram based on the given information?” “For what values of x and y must ABCD be a parallelogram?”

Classwork/Homework 6-3 Worksheet Quiz on Friday