Chapter 6 Review (Geo) (2009)

LAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HWLAST NIGHT’S HW

Back to Clock Home

01 5958575655545352515049484746454443424140393837363534333231302928272625242322212019181716151413121110090807060504030201

Classroom Timer

00

Back to Clock Home

00 5958575655545352515049484746454443424140393837363534333231302928272625242322212019181716151413121110090807060504030201

Classroom Timer

00

Chapter 6 Chapter 6 ReviewReview

Need:Need:-Notes-Notes-Conjecture List-Conjecture List

© POLYGON SUM CONJECTURE© POLYGON SUM CONJECTURE© POLYGON SUM CONJECTURE© POLYGON SUM CONJECTUREThe sum of all the angles in an n-gon (any polygon) is (n–2)180.

© EQUIANGULAR POLYGON © EQUIANGULAR POLYGON CONJECTURECONJECTURE© EQUIANGULAR POLYGON © EQUIANGULAR POLYGON CONJECTURECONJECTUREThe measure of one angle in any equiangular polygon can be found with the expression:

© POLYGON EXTERIOR ANGLE © POLYGON EXTERIOR ANGLE CONJECTURECONJECTURE© POLYGON EXTERIOR ANGLE © POLYGON EXTERIOR ANGLE CONJECTURECONJECTUREThe sum of the exterior angles in any polygon is 360 degrees

ReviewReviewReviewReview

KITEKITEKITEKITEA quadrilateral with exactly 2 pairs of distinct congruent consecutive sidesA quadrilateral with exactly 2 pairs of distinct congruent consecutive sides

Vertex Vertex AnglesAngles

Non-vertex Non-vertex AnglesAngles NO PARALLEL

SIDES!!!

OBSERVATIONSOBSERVATIONSOBSERVATIONSOBSERVATIONS

© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE© KITE DIAGONALS CONJECTURE

Diagonals of a kite are perpendicular


© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.© KITE DIAGONAL BISECTOR CONJ.

The diagonal connecting the vertex angles bisectors the non-vertex angle diagonal


© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE© KITE ANGLES CONJECTURE

Non-vertex angles of a kite are congruent


© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTURE© KITE ANGLE BISECTOR CONJECTUREThe vertex angles of a kite are bisected by the vertex diagonal


TRAPEZOIDTRAPEZOIDTRAPEZOIDTRAPEZOIDA quadrilateral with exactly one pair of parallel sidesA quadrilateral with exactly one pair of parallel sides

Base Base AnglesAngles

Base Base AnglesAngles

BaseBase11

BaseBase22


TRAPEZOIDTRAPEZOIDTRAPEZOIDTRAPEZOIDA quadrilateral with exactly one pair of parallel sidesA quadrilateral with exactly one pair of parallel sides


© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTURE© TRAPEZOID CONSECUTIVE ANGLE © TRAPEZOID CONSECUTIVE ANGLE CONJECTURECONJECTUREConsecutive angles between bases are supplementary


© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTURE© ISOSCELES TRAPEZOID CONJECTUREBase angles in an isosceles trapezoid are congruent


© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE© ISOSCELES TRAPEZOID DIAGONAL © ISOSCELES TRAPEZOID DIAGONAL CONJECTURECONJECTURE

Diagonals in an isosceles trapezoid are congruent


© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTURE© TRIANGLE MIDSEGMENT CONJECTUREThe midsegment is parallel to the third side and half the length of the third.


© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTURE© TRAPEZOID MIDSEGMENT CONJECTUREThe midsegment of a trapezoid is parallel to the bases and its length is the average of the two bases.


PARALLELOGRAMPARALLELOGRAMPARALLELOGRAMPARALLELOGRAMA quadrilateral with 2 pairs of opposite sides that are parallel.A quadrilateral with 2 pairs of opposite sides that are parallel.

Opposites sides are parallel



Opposites sides are congruent



Opposites angles are congruent



Consecutive angles are supplementary



Diagonals bisect each other

What is a Parallelogram?What is a Parallelogram? Opposite sides are Opposite sides are

parallelparallel Opposite sides are Opposite sides are

congruentcongruent Opposite angles are Opposite angles are

equalequal Consecutive angles Consecutive angles

supplementarysupplementary Diagonals bisect Diagonals bisect

eachothereachother

What is a Rectangle?What is a Rectangle?

Rectangles are Rectangles are special special parallelogramsparallelograms Has all the properties Has all the properties

of a parallelogramof a parallelogram All angles are All angles are

congruentcongruent Each angle is 90Each angle is 90°°

What is a Rhombus?What is a Rhombus?

Rectangles are Rectangles are special special parallelogramsparallelograms Has all the properties Has all the properties

of a parallelogramof a parallelogram

Has four congruent Has four congruent sidessides

Sometimes called a Sometimes called a diamonddiamond

What is a Square?What is a Square? Squares are special Squares are special

parallelogramsparallelograms Has all the properties of Has all the properties of

a parallelograma parallelogram A square is a kind of A square is a kind of

rectanglerectangle Each angle is 90Each angle is 90°°

A square is also a A square is also a special rhombusspecial rhombus All sides are congruentAll sides are congruent

What is a Square?What is a Square? A square is an A square is an

equilateral rectangleequilateral rectangle

A square is an A square is an equiangular rhombusequiangular rhombus

A regular quadrilateralA regular quadrilateral

HOMEWORKHOMEWORKPacket

Sports

Chapter 6 Review (Geo) (2009)