Quadrilaterals Day 1

On Tuesday, our first day of the new semester, we reviewed the properties of Quadrilaterals:

1. Definition: 4 sided polygon
2. the sum of the 4 interior angles is 360º

After that short review, we investigated the properties specific to parallelograms by measuring the angles, side lenghts, and diagonal lenghts of a few parallelograms. We found and discussed the following properties specific to parallelograms:

1. Definition: a quadrilateral with both pairs of opposite sides parallel
2. both pairs of opposite sides are congruent
3. both pairs of opposite angles are congruent
4. consecutive angles are supplementary
5. diagonals bisect each other

From these properties, the students are expected be able to identify which one is shown in a figure and be able to use the relationships to create and solve equations. When approaching these problems, students should first identify which part of the parallelogram the problem measures. Then, apply the property for those parts. Remember, congruent means the measures/lengths are equal. Supplementary means that the angle measures sum to 180º.

Homework: Page 306, #2 - 26 even; Page 308, #2 - 20 even (omit #10)

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