CK12 - Geometry

3. __, ___ Use the diagrambelowfor exercises4-7: Find the slopeof and , and find the slopeof and. Basedon 4, whatcan you conclu ...

[Diff: 1] The slopeof and the slopeof both = 0 since the linesare horizontal. For , . Finallyfor , [Diff: 2]. Sincethe slopesof ...

Definitionof parallelogram AlternateInteriorAnglesTheorem Reflexiveproperty ASA TriangleCongruencePostulate Definit ...

Describethe relationshipbetweenthe two diagonalsin a parallelogram. Introduction Now that you havestudiedthe differenttypesof ...

You can use the distanceformulato find the lengthof eachsegment.You are tryingto provethat is the sameas , and that is the samea ...

So. Finally, find the lengthof. The coordinatesof are (-4,5)and the coordinatesof are (-1,-2). So. Thus,in parallelogram , and. ...

Definitionof a parallelogram _ 3. AlternateInteriorAnglesTheorem Definitionof a parallelogram ReflexiveProperty ...

Imaginethat you are tryingto find the relationshipbetween and. To help you understand the relationship,extendall of the segments ...

So,. Sinceoppositeanglesare congruent, will also measure. Diagonalsin a Parallelogram Thereis one morerelationshipto examinewith ...

It is helpfulto be able to understandthe uniquepropertiesof parallelograms.You will be able to use this informationin manydiffer ...

If you add diagonalsto , wherewill they intersect? Use the figurebelowfor questions7-11. Polygon is a regularpolygon.Find each ...

[Diff: 3] is an isoscelesright triangle[Diff: 3]. Thereare manypossibleanswers.Hereis one: Auxiliarylines are in red: a. is a ...

Conversestatementsare importantin geometry. It is crucialto knowwhichtheoremshavetrue converses. In the caseof parallelograms,al ...

Provinga Quadrilateralis a ParallelogramGivenCongruentOppositeAngles Muchlike the conversestatementsyou studiedaboutoppositeside ...

Samereasonas step 7 is a parallelogram 10. Definitionof a parallelogram Provinga Quadrilateralis a ParallelogramGivenBisecti ...

So, givenonly the informationthat the diagonalsbisecteachother, you can provethat the shapeis a paral- lelogram. Provinga Quadri ...

Next,find the lengthof the oppositeside,. Use for and for. So, ; they haveequallengths.Now you needto showthat and are parallel. ...

How to provea quadrilateralis a parallelogramgivencongruentoppositesides. How to provea quadrilateralis a parallelogramgivencon ...

Supposethat , , and are threeof four vertices(corners)of a parallelogram. Give two possiblelocationsfor the fourthvertex, , if ...

wouldhavea slopeof -2. 7. Given: with and Prove: and (i.e., is a parallelogram) Statement Reason Given Given Add au ...