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Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael...

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Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson
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Page 1: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelograms

Geometry Regular ProgramSY 2014-2015

Source:

Discovering Geometry (2008) by Michael Serra

Geometry (2007) by Ron Larson

Page 2: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Definitions

Page 3: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesParallelogram Opposite Angles

Conjecture:

Page 4: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesParallelogram Consecutive Angles

Conjecture:

Page 5: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesParallelogram Opposite Sides

Conjecture:

Page 6: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesParallelogram Diagonals Conjecture:

Page 7: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 8: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 9: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 10: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram.

Page 11: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram.

Page 12: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

Parallelogram PropertiesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 13: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 14: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 15: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 16: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 17: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 18: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 19: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 20: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 21: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 22: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 23: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. Solve for the unknowns.

Page 24: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilaterals are parallelograms. Solve for the unknowns.

Page 25: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

ExercisesThe quadrilateral is a parallelogram. What are the coordinates of M?

Page 26: Parallelograms Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.

MORE Exercises on ParallelogramsALWAYS. SOMETIMES. NEVER.

1. Diagonals of a parallelogram are perpendicular. S

2. Consecutive angles of … are complementary. N

3. Consecutive sides of … are congruent. S

4. Diagonals of a parallelogram are congruent. S

5. Diagonals of … intersect at their midpoints. A


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