Download Classifying-Quadrilaterals

Geometry—Unit 4
Classifying Quadrilaterals Notes
Date: _______
Objective: I can classify special quadrilaterals.
Use the graphic organizer that we filled out to answer Ex 1 and Ex 2.
Example 1: Judging by appearance, classify each quadrilateral in as many ways as possible.
a) DEFG is a
b) WXYZ is a
c) Which name is most precise for DEFG?
.
d) Which name is most precise for WXYZ?
Example 2: Add the labels Rectangles, Rhombuses, and Trapezoids to the Venn diagram in the
appropriate places.
Classifying a quadrilateral by its appearance might not very accurate. So we have to do some exact
math to prove a figure is what we claim it is. There are several things we must do to prove a
quadrilateral is the shape we claim:
 Show that certain sides are ______________
 Show that certain sides are _______________
 Show that certain angles are __________ angles
To show that sides are congruent use the
To show that sides are parallel or perpendicular use
Example 3: Classifying a quadrilateral by coordinate methods.
A) Determine the most precise name for quadrilateral LMNP.
Step 1: Find the __________ of each side using the
Step 2: Find the ______________ of each side using the
B) Determine the most precise name for quadrilateral ABCD with vertices at
A(-3, 3), B(2, 4), C(3, -1) and D(-2, -2).
Step 1) Draw and label ABCD
Step 2) Decide what shape it is and how to prove it.
Step 3) Prove it!