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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?