Parallelograms Geometry Regular Program SY Source:

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Parallelograms Geometry Regular Program SY 2015-2016 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

Definitions

Parallelogram Properties Parallelogram Opposite Angles Conjecture:

Parallelogram Properties Parallelogram Consecutive Angles Conjecture:

Parallelogram Properties Parallelogram Opposite Sides Conjecture:

Parallelogram Properties Parallelogram Diagonals Conjecture:

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

Parallelogram Properties The quadrilateral is a parallelogram.

Parallelogram Properties The quadrilateral is a parallelogram.

Parallelogram Properties The quadrilateral is a parallelogram. Solve for the unknowns.

#7 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #7

#8 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #8

#9 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #9

#10 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #10

#11 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #11

#12 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #12

#13 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #13

#14 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #14

#15 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #15

#16 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #16

#17 The quadrilateral is a parallelogram. Solve for the unknowns. Exercises The quadrilateral is a parallelogram. Solve for the unknowns. #17

#18 The quadrilaterals are parallelograms. Solve for the unknowns. Exercises The quadrilaterals are parallelograms. Solve for the unknowns. #18

#19 The quadrilateral is a parallelogram. Exercises The quadrilateral is a parallelogram. What are the coordinates of M? #19

MORE Exercises on Parallelograms ALWAYS. SOMETIMES. NEVER. Diagonals of a parallelogram are perpendicular. S Consecutive angles of … are complementary. N Consecutive sides of … are congruent. S Diagonals of a parallelogram are congruent. S Diagonals of … intersect at their midpoints. A #20