Chapter 6 Review This is a review over all the stuff that you have learned, or should have learned, in chapter 6.

Types of Special Quadrilaterals Parallelograms Rectangles Rhombus (Rhombi) Squares Trapezoids

Properties for Parallelograms Both pairs of opposite sides are parallel and congruent Diagonals bisect each other Opposite angles are congruent Consecutive angles are supplementary DRAW A PARALLELOGRAM

Parallelogram B a E C D

Tests for Parallelograms If one pair of opposite sides are parallel and congruent, then it is a parallelogram If both pairs of opposite sides are parallel, then it is a parallelogram If both pairs of opposite sides are congruent, then it is a parallelogram If both pairs of opposite angles are congruent, then it is a parallelogram If diagonals bisect each other, then it is a parallelogram

Properties of a Rectangle Both pairs of opposite sides are parallel and congruent Diagonals bisect each other Opposite angles are congruent Consecutive angles are supplementary All four angles are right Diagonals are congruent DRAW A RECTANGLE

Rectangles: If <DAE = 30 degrees can you determine the remaining angles? B E D C

Tests for Rectangles If a quadrilateral has four right angles, then it is a rectangle If a parallelogram has congruent diagonals, then it is a rectangle

Properties for a Rhombus Both pairs of opposite sides are parallel and congruent Diagonals bisect each other Opposite angles are congruent Consecutive angles are supplementary Diagonals intersect at 90 degree angles Each diagonal bisects opposite angles All sides are congruent

Rhombi: If <BAE = 25degrees can you determine the other angles?

Tests for Rhombi If the diagonals of a parallelogram are perpendicular, then it is a rhombus

Properties of Squares Both pairs of opposite sides are parallel and congruent Diagonals bisect each other Opposite angles are congruent Consecutive angles are supplementary All four angles are right Diagonals are congruent Diagonals intersect at 90 degree angles Each diagonal bisects opposite angles All sides are congruent

Squares A B A E D C

If a quadrilateral is a rectangle and a rhombus, then it is a square Tests for Squares If a quadrilateral is a rectangle and a rhombus, then it is a square

Trapezoids Bases Legs Median

Isosceles Trapezoid B A M E D C

Get out a clean sheet of paper Label it Chapter 6 Review Complete each following slide on that paper

ABCD is a rectangle <A = 3x + 4 find x ABCD is a parallelogram <A = 2x + 12 <B = 3x + 8

To prove that a quadrilateral is a parallelogram you must show that the diagonals ________________________________________

ABCD is a parallelogram <ABC = 52 <BCD = ABCD is a parallelogram <ABC = 52 <BCD = ? AD = 3x + 25, BC = 5x + 11 Find x, AD <EBC = 2x + 12, <ADE = 3x + 8 Find x a B E C D

Rhombi: If <BAE = 30degrees can you determine the other angles Rhombi: If <BAE = 30degrees can you determine the other angles? Draw and complete A D E B B C

Rhombus If <BEA = 5x + 15 Find x If AD = 15 and BC = 3x + 9 Find x

Write the formula Midpoint Formula Distance Formula Slope

Explain in words how to show if four points create a parallelogram, a rectangle, a rhombus, and/or a square

Define Each Term Alternate Interior Parallelogram Rectangle Rhombus Square Isosceles Trapezoid