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8.2 Parallelograms

8.2 Parallelograms. What you’ll learn: To recognize and apply properties of the sides and angles of parallelograms To recognize and apply properties of the diagonals of parallelograms. Parallelograms. Parallelogram – a quadrilateral with parallel opposite sides. Symbol

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8.2 Parallelograms

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  1. 8.2 Parallelograms What you’ll learn: To recognize and apply properties of the sides and angles of parallelograms To recognize and apply properties of the diagonals of parallelograms

  2. Parallelograms Parallelogram – a quadrilateral with parallel opposite sides. Symbol Named by the vertices of the parallelogram in consecutive order

  3. Properties of Parallelograms Theorem 8.3 Opposite sides of a are congruent. Theorem 8.4 Opposite angles in a are congruent. Theorem 8.5 Consecutivesin a are supplementary. Theorem 8.6 If a has 1 right angle, it has 4 right angles. Theorem 8.7 The diagonals of a bisect each other.

  4. RSTU is a parallelogram. Find mURT, mRST and y. URT=40 RST=122 y=6 3y S R 40 18 T U 18

  5. Theorem 8.8 Each diagonal of a parallelogram separates the parallelogram into 2 congruent triangles. ABCCDA A B D C

  6. Homeworkp. 41516-36 even

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