Question 175256: __ __
Given: CK is the perpendicular bisector of AE
Prove: triangle CAK is congruent to triangle CEK Answer by gonzo(654) (Show Source):
You can put this solution on YOUR website! ck is the perpendicular bisector of ae (given).
this means that ac = ce (bisector of a line splits the line into 2 congruent parts)
this also means that angle ack equals angle eck = 90 degrees (perpendicular line creates 90 degree angle with the line it intersects)
kc congruent to kc (same line)
triangle akc congruent to triangle ekc (sas)
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the words may not be exactly the way they would put them in your book but the concept is accurate.
the triangles are congruent by sas.
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