CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

6.4. Rectangles, Rhombuses and Squares http://www.ck12.org


TABLE6.8:


Properties of Parallelograms Properties of Rhombuses Properties of Rectangles

• SQ||ER •SQ∼=ER∼=SE∼=QR •^6 SER∼=^6 SQR∼=^6 QSE ∼=


(^6) QRE


• SE||QR •SR⊥QE •SR∼=QE


• SQ∼=ER •^6 SEQ∼=^6 QER∼=^6 SQE ∼=


(^6) EQR


• SA∼=AR∼=QA∼=AE


• SE∼=QR •^6 QSR ∼=^6 RSE ∼=^6 QRS ∼=


(^6) SRE


• SA∼=AR


• QA∼=AE


•^6 SER∼=^6 SQR


•^6 QSE∼=^6 QRE


Parallelograms in the Coordinate Plane


Example 4:Determine what type of parallelogramT U NEis:T( 0 , 10 ),U( 4 , 2 ),N(− 2 ,− 1 ), andE(− 6 , 7 ).

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