Notes – Lesson 6.5
Geometry
Name __________________________________
Isosceles Trapezoid
The parallel sides of a trapezoid are its ________. The nonparallel sides are its legs.
Two angles that share a base of a trapezoid are _____
_______ of the trapezoid.
Theorem: The base angles of an isosceles trapezoid are __________________________.
Consecutive angles are ________________________________.
Examples.
1.
 1 ________
2.
 2 _______
 1 ________
3.
 2 _______
 1 _______  2 ________
4. Half of a spider’s web is show to the right formed by layers of congruent
isosceles trapezoids. Find the measures of the angles in ABDC.
 A _________  B ________  C ___________  D ___________
5.
6.
Theorem. The diagonals of an isosceles trapezoid are __________________________.
Example.
AC = 10x – 50
BD = 2x + 100
Solve for x.
7.
Kites
What Conclusions can we make?
1) <1 and <2
2) <1, <2, <3, <4
3) <5 and <6
Theorem: The diagonals of a kite are __________________________ and
_________________ the angles that have congruent sides..
Examples.
1.
 1 ________
4.
2.
 2 _______
 1 ________
5.
3.
 2 _______
 1 ________  2 _______  3 ______
6.