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Applied Geometry Lesson: 8 – 3 Tests for Parallelograms Objective: Learn to identify and use tests to show that a quadrilateral is a parallelogram.

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Presentation on theme: "Applied Geometry Lesson: 8 – 3 Tests for Parallelograms Objective: Learn to identify and use tests to show that a quadrilateral is a parallelogram."— Presentation transcript:

1 Applied Geometry Lesson: 8 – 3 Tests for Parallelograms Objective: Learn to identify and use tests to show that a quadrilateral is a parallelogram.

2 Theorem 8 – 7 If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

3 If both pairs of opp. sides of a quad are congruent, then the quad is a parall.

4 Def of segment bisector Vertical angles are congruent SAS CPCTC If both pairs of opp. sides of a quad are congruent, then the quad is a parall.

5 Theorem 8 – 8 If one pair of opposite sides of a quadrilateral is parallel and congruent, then the quadrilateral is a parallelogram.

6 Theorem 8 – 9 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

7 Determine whether each quadrilateral is a parallelogram. If the figure is a parallelogram, give a reason for your answer. Yes, opposite sides congruent. Not a parallelogram Yes, diagonals bisect Yes, one pair opp. sides parallel and congruent.

8 Homework Pg. 324 1 – 6 all, 8 – 24 E


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