Discovering Discovering Parallelograms Parallelograms
Discovering Discovering Parallelograms Parallelograms
Discovering Discovering Parallelograms Parallelograms
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Unit Overview:<br />
I. Angles of Polygons<br />
1. Interior Angle Sum Theorem: S = 180(n - 2)<br />
180 ( n ! 2)<br />
2. Interior Angle (regular polygon):<br />
n<br />
360<br />
3. Exterior Angle (regular polygon):<br />
n<br />
II.<br />
<strong>Parallelograms</strong><br />
1. Construct a parallelogram<br />
2. Properties<br />
a. opposite sides<br />
b. opposite and consecutive angles<br />
c. diagonals as bisectors<br />
d. congruent triangles formed by diagonals<br />
3. Tests for <strong>Parallelograms</strong><br />
a. opposite sides test<br />
b. opposite angles test<br />
c. distance formula (coordinate graphs)<br />
d. slope formula<br />
4. Rectangles<br />
a. constructions<br />
b. properties<br />
i. 4 Right angles<br />
ii. congruent diagonals (using slope and distance)<br />
5. Rhombi<br />
a. constructions<br />
b. properties<br />
perpendicular diagonals<br />
opposite angles bisected by diagonals<br />
c. squares (properties)<br />
4
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