1. Vocabulary
Parallelogram
Rhombus
Opposite angles

2. Integ. Math
4.8 Parallelograms

3. Parallelogram Side Theorem
If a quadrilateral is a parallelogram, then its opposite sides are equal in length.

4. Parallelogram Angle Theorem
If a quadrilateral is a parallelogram, then its opposite angles are all equal in measure.

5. Parallelogram Diagonal Theorem
If a quadrilateral is a parallelogram, then its diagonals bisect each other.

6. Examples: Find m<J in JKLM Find m<B in ABCD, where m<A=36° K
48° L M A B D C

7. Find the m<H in JKHL Find the m<A in ABCD H K 67° L J A B D 110°

8. Rectangle Diagonal Theorem
If a quadrilateral is a rectangle its diagonals are equal.

9. Rhombus Diagonal Theorem
If a quadrilateral is a rhombus then its diagonals are perpendicular and bisect each pair of opposite angles.

10. A rectangular banner is reinforced from the back using wire diagonals
A rectangular banner is reinforced from the back using wire diagonals. The diagram shows how the wires are attached if ZO= 8ft, find WY. W X O Z Y

11. Find a, b, c, and d
MJ=1.5 yd, MK=3.25 yd K J a c b d L M

12. Find a, b, c, and d A B
AC=6 ft, AD=9 ft. c a d b D C

13. Homework
Pg #1-12, 19-21, 27-32