1. Chapter 6: Quadrilaterals
6.1
Classifying Quadrilaterals

2. Quadrilateral
four-sided polygon

3. Special Quadrilaterals
parallelogram: quadrilateral with both pairs of opposite sides parallel
rhombus: parallelogram with four congruent sides

4. Special Quadrilaterals
rectangle: parallelogram with four right angles
square: parallelogram with four congruent sides and four right angles

5. Special Quadrilaterals
kite: a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent
trapezoid: quadrilateral with exactly one pair of parallel sides

6. Comparisons parallelogram rhombus rectangle square kite trapezoid
both pairs of opposite sides parallel
four congruent sides
four right angles
two pairs of adjacent sides congruent, no opposite sides congruent
exactly one pair of parallel sides

7. Example 1
Judging by its appearance, classify DEFG in as many ways as possible.

8. Example 1a
Judging by its appearance, classify WXYZ in as many ways as possible.

9. Review
distance formula:
slope formula:
midpoint formula:

10. Determining a Quadrilateral
when given coordinates:
look at the shape first
if sides “look” parallel, find their slopes to prove
if sides “look” perpendicular, find their slopes to prove
if sides “look” congruent, find their lengths (distance) to prove

11. Example 2
Determine the most precise name for quadrilateral LMNP: L(1,2), M(5,3), N(5,2), P(3,1).

12. Example 2a
Determine the most precise name for quadrilateral ABCD with vertices A(-3,3), B(2,4), C(3,-1), and D(-2,-2).

13. Example 3
Find the values of the variables for the kite:

14. Example 3a
Find the values of the variables for the rhombus, then find the lengths of the sides.

15. Homework
p :
2-26 even