Section 6-1: Classifying Quadrilaterals March 13, 2012

Warm-up: (10 mins) Pick up your folder on the side table Textbook, p. 286, # 1 – 12

Section 6-1: Classifying Quadrilaterals Objective: Today you will learn to define and classify types of quadrilaterals.

Types of Quadrilaterals (p. 288)

Classifying Quadrilaterals Complete the following (True or False) ____ All squares are rectangles ____ A trapezoid is a parallelogram ____ A rhombus can be a kite ____ Some parallelograms are squares ____ Every quadrilateral is a parallelogram ____ All rhombuses are squares Fill in the blank: A square is a rhombus with four ___________ A square is a rectangle with four ____________

Classify by Coordinates  Step 1: Find slopes of each side to see if parallel or perpendicular or neither  Step 2: Use distance formula to see if any sides are congruent

Example 1: Classify by Coordinates Find slopes: LM = NP = MN = LP = Find distances: LM = NP = MN = LP = Given these vertices, identify this quadrilateral

Example 2: Classify by Coordinates Given these vertices, identify this quadrilateral: Q (2, 3), U (4, 3), A (5,1), D (1, 1)

Example 3: Find requested information And identify the quadrilateral: X = ___ Y = ___ Quadrilateral is a ______________ because...

Example 4: Find requested information And identify the quadrilateral: X = ____ Length of each side: ________ Quadrilateral is a ______________ because...

Example 5: Find requested information And identify the quadrilateral: a = ___ b = ___ Length of each side: _______ Quadrilateral is a ______________ because...

Wrap-up  Today you learned to define and classify types of quadrilaterals.  Tomorrow you’ll learn to use the relationships among sides, angles, and diagonals of parallelograms and determine if a quadrilateral is a parallelogram. Homework p. 290 – 293: #1-12, 13, 15, 17, 19-26, 29-34, 56-59