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4. Prove triangle ABC is congruent to triangle DEF.


 Mar 26, 2020
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Use the distance formula:     distance  =  sqrt[ (x2 - x1)2 + (y2 - y1)2 ]

to find these distances:  AB, BC, BA, DE, EF, FA

 

For example:  BC:  B  =  (x1, y1)  =  (2, 0)            C  =  (x2, y2)  =  (3, 4)

     BC  =  sqrt[ (3 - 2)2 + (4 - 0)2 ]  =  sqrt[ (1)2 + (4)2 ]  =  sqrt[ 1 + 16 ]  =  sqrt(17) 

 

If these triangles are congruent, the corresponding sides will have equal lengths

and

if the corresponding sides have equal lengths, the triangles will be congruent.

 Mar 26, 2020

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