1. Section 6-1 Classify Quadrilaterals SPI 32A: Identify properties of plane figures from information given in a diagram
Objectives:
Define, classify and use properties of Quadrilaterals
Recall
Distance Formula:
Slope Formula:

2. Types of Quadrilaterals
Describe the
Parallelogram
Both pairs of opposite sides parallel.

3. Types of Quadrilaterals
Describe the
Rhombus
Parallelogram with four congruent sides

4. Types of Quadrilaterals
Describe the
Rectangle
Parallelogram with four right angles

5. Types of Quadrilaterals
Describe the
Square
Parallelogram with four congruent sides and four right angles

6. Types of Quadrilaterals It is NOT a parallelogram!
Describe the
Kite
Note:
It is NOT a parallelogram!
Quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

7. Describe the Trapezoid
Types of Quadrilaterals
Describe the
Trapezoid
Quadrilateral with exactly one pair of parallel sides
The figure above is an Isosceles Trapezoid. (nonparallel opposite sides are congruent)

8. Types of Quadrilaterals Relationships among Quadrilaterals

9. Quadrilaterals can be classified by appearance:
Classify Quadrilaterals
Quadrilaterals can be classified by appearance:
Judging by appearance, classify WXYZ in as many ways as possible.
Quadrilateral, because it has four sides.
Parallelogram, because both pairs of opposite sides are 
Rhombus, because it has four congruent sides.

10. Classify Quadrilaterals by Coordinate Methods
Determine the most precise name for quadrilateral LMNP.
1. Find the slope of each side to determine if sides are || or .
How would you determine
if the sides are parallel or
Perpendicular?
Both pairs of opposite sides are parallel, so LMNP is a parallelogram. (Slope is the same)
2. Use the distance formula to determine if any pairs of sides are congruent.

11. Use properties of Quadrilaterals to Find Values
Given the figure below is a kite, find the values for x and y.
Find the value of x. Justify each step.
KB = JB
Def of Kite
3x – 5 = 2x + 4
Substitute
x – 5 = 4
Subtract 2x (SPE)
x = 9
Add 5 (APE)
Find the value of y. Justify each step.
KT = JT
Def of Kite
15 = 2y + 5
Substitute
10 = 2y
Subtract 5 (SPE)
5 = y
Divide (DPE)