AB and CD bisect each other at K. Prove that AC =BC.
PLEASE solve this with process.
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Riishu:
sorry its AC = BD
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AC AND BC CAN NEVER BE EQUAL IT CAN BE AC = BD
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In triangles AKC and BKD,
AK = KB [K is the midpoint of AB]
CK = KD [K is the midpoint of CD]
angle AKC = angle DKB [vertically opposite angles]
therefore,
triangle AKC congruent to triangle BKD by SAS axiom
=> AC = BD [corresponding sides]
AK = KB [K is the midpoint of AB]
CK = KD [K is the midpoint of CD]
angle AKC = angle DKB [vertically opposite angles]
therefore,
triangle AKC congruent to triangle BKD by SAS axiom
=> AC = BD [corresponding sides]
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