geometry/notes 8.4

RectanglesSECTION 8.4

What are the properties of a rectangle?How do I tell if a parallelogram is a rectangle?

RECTANGLES

Rectangle: A quadrilateral with 4 right angles.

How does this compare to a parallelogram?

RECTANGLE

1. Opposite Sides are and 2. Opposite s are 3. Consecutive s are supplementary4. Diagonals are and diagonals bisect each other5. All four s are right6. If a parallelogram is a rectangle, then the diagonals

are

PROPERTIES

Quadrilateral RSTU is a rectangle. RT = 6x + 4SU = 7x - 4Find x

EXAMPLE

Quadrilateral EFGH is a rectangleFH = 5x + 4GE = 7x – 6Find x

EXAMPLE

Quadrilateral LMNP is a rectangleFind x and y

EXAMPLE

Quadrilateral EFGH is a rectangleFind x and y

EXAMPLE

Given points A(-2, 1), B(4, 3), C(5, 0) and D(-1, -2)Prove that ABCD a rectangle using the slope

formula.

EXAMPLE

Given points W(-2, 1), X(-1, 3), Y(3, 1), and Z(2, -1).Is this a rectangle?

EXAMPLE

Page 428 10 – 14 (Evens) 16 – 24 (all) 26, 28, and 36

HOMEWORK

LESSON PLAN

Intro Special parallelogram called a rectangle

Standards- 8.4Supplies – slides, whiteboard, handouts,Timing - 1 day 1 review day and a quizEssential Questions- slide 2 Input – slides 3 - 4Guided Practice – slides 5 - 10 Independent Practice – bookwork