Chapter 6 Review

25
Chapter 6 Review This is a review over all the stuff that you have learned, or should have learned, in chapter 6.

description

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. - PowerPoint PPT Presentation

Transcript of Chapter 6 Review

Page 1: Chapter 6 Review

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

Page 2: Chapter 6 Review

Types of Special Quadrilaterals

ParallelogramsRectanglesRhombus (Rhombi)SquaresTrapezoids

Page 3: Chapter 6 Review

Properties for ParallelogramsBoth pairs of opposite sides are parallel and congruentDiagonals bisect each otherOpposite angles are congruentConsecutive angles are supplementary

DRAW A PARALLELOGRAM

Page 4: Chapter 6 Review

ParallelogramA

E

B

D C

Page 5: Chapter 6 Review

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

Page 6: Chapter 6 Review

Properties of a RectangleBoth pairs of opposite sides are parallel and congruentDiagonals bisect each otherOpposite angles are congruentConsecutive angles are supplementary All four angles are rightDiagonals are congruent

DRAW A RECTANGLE

Page 7: Chapter 6 Review

Rectangles: If <DAE = 30 degrees can you determine the remaining angles?

A

D C

B

E

Page 8: Chapter 6 Review

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

Page 9: Chapter 6 Review

Properties for a RhombusBoth pairs of opposite sides are parallel and congruentDiagonals bisect each otherOpposite angles are congruentConsecutive angles are supplementaryDiagonals intersect at 90 degree anglesEach diagonal bisects opposite anglesAll sides are congruent

Page 10: Chapter 6 Review

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

BD

CB

A

E

Page 11: Chapter 6 Review

Tests for Rhombi

• If the diagonals of a parallelogram are perpendicular, then it is a rhombus

Page 12: Chapter 6 Review

Properties of SquaresBoth pairs of opposite sides are parallel and congruentDiagonals bisect each otherOpposite angles are congruentConsecutive angles are supplementaryAll four angles are rightDiagonals are congruentDiagonals intersect at 90 degree anglesEach diagonal bisects opposite anglesAll sides are congruent

Page 13: Chapter 6 Review

Squares

A

A B

CD

E

Page 14: Chapter 6 Review

Tests for Squares

• If a quadrilateral is a rectangle and a rhombus, then it is a square

Page 15: Chapter 6 Review

Trapezoids• Bases

• Legs

• Median

Page 16: Chapter 6 Review

Isosceles Trapezoid

A B

CD

M E

Page 17: Chapter 6 Review

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

Page 18: Chapter 6 Review

• ABCD is a rectangle <A = 3x + 4 find x

• ABCD is a parallelogram <A = 2x + 12 <B = 3x + 8

Page 19: Chapter 6 Review

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

Page 20: Chapter 6 Review

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

EB

D C

Page 21: Chapter 6 Review

Rhombi: If <BAE = 30degrees can you determine the other angles? Draw and

completeB

D

CB

A

E

Page 22: Chapter 6 Review

Rhombus If <BEA = 5x + 15 Find x

If AD = 15 and BC = 3x + 9 Find xB

D

CB

AE

Page 23: Chapter 6 Review

Write the formula

•Midpoint Formula•Distance Formula• Slope

Page 24: Chapter 6 Review

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

Page 25: Chapter 6 Review

Define Each Term• Alternate Interior• Parallelogram• Rectangle• Rhombus• Square• Isosceles Trapezoid