All Quadrilaterals Four angles Four sides Angles add to °360 Parallelograms Opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other Let’s review the quadrilateral properties we’ve learned so far:

Rectangle Quadrilaterals – Day 3 Today we’re going to learn about special parallelograms Rhombus Square

All Quadrilaterals Parallelogram Rectangle

Is a parallelogram Has all the properties of quadrilaterals above it in the flow chart PLUS has the following special properties: Angles are 90° Diagonals are congruent (contractor’s theorem)

All Quadrilaterals Rhombi Parallelograms Rectangles

Is a parallelogram Has all the properties of quadrilaterals above it PLUS has the following special properties: Sides are congruent Diagonals are perpendicular Diagonals are angle bisectors

All Quadrilaterals Rhombus Parallelogram Rectangle Square SQUARE

Has all the properties of quadrilaterals above it in the flow chart. SQUARE It gets the congruent sides mom It gets the angles from dad It gets the congruent diagonals from dad It gets perpendicular diagonals from mom It gets angle bisector diagonals from mom Dad = Rectangle Mom = Rhombus

All Quadrilaterals Rhombus Parallelogram Rectangle Square

I never realized there was so much to learn about quadrilaterals! Whew….

Let’s practice… F M DE R 14 in. 26 in. 20° mDM = 15 in. FRED is a rectangle Find the measures of all the sides, diagonals and angles.

CRIS is a rhombus Find all angle, side and diagonal measures C S I R 17 ft 15 ft 8 ft 28°

True or False 1.Every square is a rhombus 2.Every rhombus is a square 3.Every rectangle is a square 4.Every square is a rectangle 5.All rhombi are parallelograms 6.Every parallelogram is a rectangle.

Quadrilaterals Day 4 Kite Trapezoid Trapezium

Convex Quadrilaterals Parallelograms RectanglesRhombi Square Trapezoid Right Trapezoid Isosceles Trapezoid Trapezium Kite This is what the flow chart will look like at the end of this class.

Properties of a trapezoid ♥ A trapezoid has one and only one pair of parallel sides. ♥ Two pair of consecutive, supplementary angles.

Properties of a TRAPEZIUM: A quadrilateral with NO parallel sides. ♥ 2 pair of consecutive congruent sides ♥ Opposite sides are NOT congruent ♥ Only ONE pair of opposite angles are congruent. ♥ Diagonals are perpendicular ♥ Only ONE diagonal is bisected A special Trapezium is a KITE

White boards…

Your Assignment 6-6 Worksheet