Geometry Day 1 by HC120530084658

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									Section 4.6 Proving Quadrilateral Properties
Today we’ll codify the conditions that determine what special kind of quadrilateral we
      have given certain information.

Do Activity 1 together on the board T/F

Use GSP?
Theorems:
    If 2 pairs of opposite sides of a quadrilateral are congruent, then it is a
      parallelogram.
    If 1 pair of sides of a quadrilateral is parallel and congruent, then it is a
      parallelogram.
    If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
    If one angle of a parallelogram is a right angle, then it is a rectangle.
    If the diagonals of a parallelogram are congruent, then in is a rectangle.
    If one pair of adjacent sides of a parallelogram is congruent, then it is a rhombus.
    If the diagonals of a parallelogram bisect the angles, then it is a rhombus.
    If the diagonals of a parallelogram are perpendicular, then it is a rhombus.

Do # 39 – 44 (the proofs of the theorems) in groups to share with the class. Have a sheet
to work from.




Homework -- Read Section 4.6
       Do Ex. 1-9, 11-25 odd, 26-31, 32-38, 45-54
    A
        A   B

        A       C




B

								
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