6.2 Notes

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1 Opener: Complete these two problems on your opener sheet. 1. The interior angle sum of a convex polygon is 3240 degrees. What is the name of the polygon? 2. The measure of one exterior angle of a regular polygon is 12 degrees. How many sides does the polygon have?

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Transcript of 6.2 Notes

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Opener: Complete these two problems on your opener sheet.

1. The interior angle sum of a convex polygon is 3240 degrees. What is the name of the polygon?

2. The measure of one exterior angle of a regular polygon is 12 degrees. How many sides does the polygon have?

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Homework Questions:

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Complete the lab in the assigned groups over the next 20 minutes.

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(11/24) & (11/30) 6.2: Properties of Parallelograms

Definition of parallelogram:

A quadrilateral with two pairs of parallel sides.

Properties of parallelograms:

1.) If parallelogram, then both pairs of opposite sides are congruent.

2.) If parallelogram, then both pairs of opposite angles are congruent.

3.) If parallelogram, then consecutive angles are supplementary.

4.)If parallelogram, then diagonals bisect each other.

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Practice Examples:

1. For what values of x and y will the shape below be a parallelogram?

2. ABCD is a parallelogram. Find x and the measure of LABD if the perimeter is 108 cm.

3x ‐ 8

y + 6

120

6y ‐ 4

132

26

5x ‐ 13

3x + 3

A

B C

D

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Practice Examples ‐ Cont.:

3. Given: ABCD is a parallelogramBD bisects EF

Prove: BGF ≅ DGE

A

B C

DE

F

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Homework:• p. 395 #21‐24 all, 27‐30 all, 32‐43 all, 46, 47 (as on assignment sheet)