1. Lesson 6-3: Rectangles 1 Lesson 6-3 Rectangles

2. Lesson 6-3: Rectangles 2 Rectangles Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary. Diagonals bisect each other. Definition:A rectangle is a parallelogram with four right angles. A rectangle is a special type of parallelogram. Thus a rectangle has all the properties of a parallelogram.

3. Lesson 6-3: Rectangles 3 Properties of Rectangles Therefore, ∆ AEB, ∆ BEC, ∆ CED, and ∆ AED are isosceles triangles. If a parallelogram is a rectangle, then its diagonals are congruent. E D C B A Theorem: Converse: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

4. Lesson 6-3: Rectangles 4 Examples……. 1.If AE = 3x +2 and BE = 29, find the value of x. 2.If AC = 21, then BE = _______. 3. If m<1 = 4x and m<4 = 2x, find the value of x. 4.If m<2 = 40, find m<1, m<3, m<4, m<5 and m<6. m<1=50, m<3=40, m<4=80, m<5=100, m<6=40 10.5 units x = 7 units x = 18 units 6 5 4 32 1 E D C B A