LT 6.4: Prove and apply properties of rectangles,

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Presentation transcript:

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

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

Rectangle

Properties of Rectangles

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 =

Rhombus

Properties of Rhombuses

Square

Visual – Venn Diagram

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

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

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°

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

Example 8