Warm Up 01.17.12Week 3

3. 2

4m - 7 = m + 14

3m = 21

m = 7

3k - 2 = m + 9

3k - 2 = 7 + 9

m + 143k - 2

4m - 7

m + 9

3k - 2 = 16

Re 1

3k = 18

k = 6

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

Ex 2

2y + 3

5y - 6

2y + 3 = 5y - 6

3 = 3y - 6

9 = 3y

3 = y

Rhombus - DiagonalsA parallelogram is a rhombus if and only if its

diagonals are perpendicular.

Theorem 6.11

Rhombus – Bisect Opposite AnglesA parallelogram is a rhombus if and only if its

diagonals bisect a pair of opposite angles.

Theorem 6.12

Rectangle - DiagonalsA parallelogram is a rectangle if and only if its

diagonals are congruent.

Theorem 6.13

Ex 3

2( 5x ) = 180

10x = 180

x = 18º

Ex 4

3x = x + 2

2x = 2

x = 1

Find WY

WY = x + 2

WY = 1 + 2

WY = 3

Handout - 6.4BAssignment:

Do 1: What is the perimeter of ∆ HKJ?