8.2 Parallelograms

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8.2 Parallelograms - PowerPoint PPT Presentation

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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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

Named by the vertices of the parallelogram in consecutive order

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.

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

Theorem 8.8

Each diagonal of a parallelogram separates the parallelogram into 2 congruent triangles.

ABCCDA

A

B

D

C