1. LT 6.4:
Prove and apply properties of rectangles,
rhombuses and squares.

2. Math Humor Q: What did the rhombus say to the square?
A: Lean on me, friend!

3. Rectangle

4. Properties of Rectangles

5. Example 1:
The braces of the bridge support lie along the diagonals of rectangle PQRS. RS = 160 ft, and QS = 380 ft. Find each length.
1) TQ =
2) PQ =
3) ST =
4) PR =

6. Rhombus

7. Properties of Rhombuses

8. Square

9. Visual – Venn Diagram

10. All sides are congruent
Properties
Parallelogram
Rhombus
Rectangle
Square
All sides are congruent
2 pairs of opposite sides are congruent
2 pairs of opposite sides are ||
2 pairs of opposite angles are congruent
All angles are right s
Diagonals bisect each other
Diagonals are congruent
Diagonals are 
Each diagonal bisects the angle into 2 congruent angles

11. All sides are congruent
Properties
Parallelogram
Rhombus
Rectangle
Square
All sides are congruent
2 pairs of opposite sides are congruent
2 pairs of opposite sides are ||
2 pairs of opposite angles are congruent
All angles are right s
Diagonals bisect each other
Diagonals are congruent
Diagonals are 
Each diagonal bisects the angle into 2 congruent angles

12. Example 3: pg. 412 # 7 ABCD is a rhombus. Find . 12y = 90 y = 7.5
Example 3: pg. 412 # 7
ABCD is a rhombus. Find
12y = 90
y = 7.5
mABC = 61°

14. If AX = x + 6, then AC = 2x + 12 2x + 12 = 3x – 4 x = 16 DX = 8

16. Example 8