1. Goal: The learner will use properties of trapezoids and kites.
Lesson 8.5
Goal: The learner will use properties of trapezoids and kites.

2. Trapezoid A quadrilateral with exactly one pair of parallel sides.
Base
leg
leg
Base

3. Isosceles Trapezoid The legs are congruent.
Both pairs of base angles are congruent
Diagonals are
congruent

4. Find the angle measures
125˚

5. Arch
The stone above the arch in the diagram is an isosceles trapezoid. Find m K, m M, and m J.

6. Midsegment of a Trapezoid
The midsegment of a trapezoid is
Parallel to the bases and its length is half
the sum of the lengths of the bases. x
midsegment= ½ ( x + y)
Midsement y

7. Try one.
In the diagram, MN is the midsegment of trapezoid PQRS. Find MN.

8. Algebra
3x + 1
Find x.
12.5 15

9. Kite Two pairs of consecutive congruent sides
Diagonals are perpendicular
Exactly one pair of opposite angles are congruent.

10. Find m D in the kite shown at the right.

11. Assignment
P. 546 #7-15, 18-21, 25, 27