Trapezoid Properties

Objective: Discover properties of trapezoids

First of All:

• What is a trapezoid?

• a trapezoid is a quadrilateral with exactly one pair of parallel sides.

Angles/Sides in a Trapezoid

Consecutive Angles

Recall: Supplementary angles are two angles which add up to 180.

Isosceles Trapezoid

• a trapezoid whose two nonparallel sides are the same length is called an isosceles trapezoid

Line of Symmetry• There is one line of

symmetry for all trapezoids

• What points do you think this line of symmetry crosses through?

• The line of symmetry splits the trapezoid in half. Therefore, the line goes through the midpoints of the bases

Base Angles of an Isosceles Trapezoid

x

ba

yx=y

a=b

Diagonals

X

BA

Y

𝑋𝐵=𝐴𝑌

Let’s Practice!

Let’s Practice!

Let’s Practice!

Let’s Practice!