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P. Q. R. S. Bell Work. Write a two – column proof: 1. Given: Δ PRS = Δ RPQ Prove: PQRS is a parallelogram. Go over Homework. Pg. 301 – 302 # 15 – 32. Go over Homework. Pg. 301 – 302 # 15 – 32. Take notes.
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P Q R S Bell Work Write a two – column proof: 1. Given: ΔPRS = ΔRPQ Prove: PQRS is a parallelogram
Go over Homework • Pg. 301 – 302 # 15 – 32
Go over Homework • Pg. 301 – 302 # 15 – 32
Take notes • Use the 5 Finger Rules (Headings, Subheadings, Bold words, Examples, and/or Theorems) to take notes on 6 – 3 in your book on Page 306 – 309.
Objectives • To recognize and apply the properties of rectangles.
Definition • Rectangle: a quadrilateral with four right angles
Important Theorems • Thm 6 – 9: If a parallelogram is a rectangle, then its diagonals are congruent. • Thm 6 – 10: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
If a quadrilateral is a rectangle, then the following properties hold true: • Opposite sides are congruent and parallel. • Opposite angles are congruent. • Consecutive angles are supplementary. • Diagonals are congruent and bisect each other. • All four angles are right angles.
Example 2 Pg. 308 • Determine whether parallelogram ABCD is a rectangle, given A(-6,9), B(5,10), C(6,-1), D(-5,-2).
Class Work • Pg. 309 # 5 – 12
Homework • Pg. 310 – 311 # 15 – 38
Quiz Tomorrow • 6 – 1: Properties of Parallelograms • 6 – 2: Tests for Parallelograms • 6 – 3: Rectangles