Download presentation

Presentation is loading. Please wait.

Published byAshley Morton Modified over 8 years ago

1
Honors Geometry Section 4.5 (3) Trapezoids and Kites

2
Two special types of quadrilaterals that are NOT parallelograms are trapezoids and kites.

3
A trapezoid is a quadrilateral with exactly one pair of opposite sides parallel. The sides that are parallel are called _______. The nonparallel sides are called ______. The angles at each end of a base are called _____________. bases legs base angles

4
A midsegment of a trapezoid is the segment joining the midpoints of the two legs.

5
Theorem The midsegment of a trapezoid is parallel to the bases and the length of the midsegment is equal to ½ the sum of the bases.

6
An isosceles trapezoid is a trapezoid that has congruent legs.

7
Theorem In an isosceles trapezoid, the base angles that share a common base are congruent. Note: For any trapezoid the angles that share a common leg are _____________. supplementary

8
Theorem The diagonals of an isosceles trapezoid are congruent.

9
Example 1: Find the value of x, y and z in this isosceles trapezoid.

10
A kite is a quadrilateral with two pairs of congruent adjacent sides and noncongruent opposite sides.

11
Theorem The diagonals of a kite are perpendicular.

12
Example 2: Find the perimeter of the kite.

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google