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