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

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Presentation transcript:

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

Properties SPECIAL PARALLELOGRAMS 1.RHOMBUS : Diagonals are perpendicular. Diagonals bisect the angles. 2.RECTANGLE : Diagonals are congruent. 3.SQUARE : has all the properties of rhombuses and rectangles

Exercises Solve for the unknowns.

Exercises Solve for the unknowns.

Exercises Solve for the unknowns.

Exercises No. Even if the diagonals are perpendicular, the sides are not congruent.

Exercises Yes. It is equiangular.

Exercises Yes. Triangles are congruent By SAS. Therefore, opposite sides are congruent.

Exercises Determine the specific type of quadrilateral, and then solve for the variables.

Exercises Determine the specific type of quadrilateral, and then solve for the variables.

Exercises Determine the specific type of quadrilateral, and then solve for the variables.

Exercises Determine the specific type of quadrilateral, and then solve for the variables.

Exercises

Properties Fill in the table with “YES (always true) ” or “NO”.

Quadrilateral Family