Warm-Up ABCD is a parallelogram. AB = 12 and BC = 25

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Presentation transcript:

Warm-Up ABCD is a parallelogram. AB = 12 and BC = 25 What is the perimeter of the figure? 25 12

Conditions for Parallelograms Geometry 6-3 Conditions for Parallelograms

Conditions for Parallelograms A quadrilateral is a parallelogram if… One pair of opposite sides is parallel and congruent Both pairs of opposite sides are congruent Both pairs of opposite angles

…continued An angle is supplementary to both of its consecutive angles The diagonals bisect each other

Example Show that JKLM is a parallelogram for a = 3 and b = 9.

Example Show that PQRS is a parallelogram for x = 10 and y = 6.5.

Example What other pieces of information must you know to prove that quadrilateral KLMN is a parallelogram?