Vocabulary Parallelogram Rhombus Opposite angles

Integ. Math 4.8 Parallelograms

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

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

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

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

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

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

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

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

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

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

Homework Pg. 184-185 #1-12, 19-21, 27-32