Week 3 Warm Up 01.17.12 Add theorem 2.1 here next year. 3. 2.

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Presentation transcript:

Week 3 Warm Up 01.17.12 Add theorem 2.1 here next year. 3. 2

Re 1 4m - 7 = m + 14 3k - 2 = m + 9 3k - 2 = 7 + 9 3m = 21 3k - 2 = 16

A parallelogram with 4 congruent sides. Section 6.4 Day 1 I will use properties of sides and angles of rhombuses, rectangles, and squares. Rhombus A parallelogram with 4 congruent sides. Ex 1

2y + 3 5y - 6 Ex 2 2y + 3 = 5y - 6 3 = 3y - 6 9 = 3y 3 = y

Theorem 6.11 Rhombus - Diagonals A parallelogram is a rhombus if and only if its diagonals are perpendicular.

Rhombus – Bisect Opposite Angles Theorem 6.12 Rhombus – Bisect Opposite Angles A parallelogram is a rhombus if and only if its diagonals bisect a pair of opposite angles.

Theorem 6.13 Rectangle - Diagonals A parallelogram is a rectangle if and only if its diagonals are congruent.

Ex 3 2( 5x ) = 180 10x = 180 x = 18º

Ex 4 Find WY 3x = x + 2 WY = x + 2 2x = 2 WY = 1 + 2 x = 1 WY = 3

What is the perimeter of ∆ HKJ? Do 1: Assignment: Handout - 6.4B