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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5. (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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6. Practice Examples:
1. For what values of x and y will the shape below be a parallelogram?
120 3x ‐ 8
6y ‐ 4
y+6
2. ABCD is a parallelogram. Find x and the measure of LABD if the perimeter is 108 cm.
5x ‐ 13 C
B
132
3x + 3
26
A D
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7. Practice Examples ‐ Cont.: A E D
3. Given: ABCD is a parallelogram
BD bisects EF
Prove: BGF ≅ DGE B C
F
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