in the given figure arc AC and BD are two equal arcs of a circle . prove that chord AB and CD are parallel.
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38
join AD
NOW angle CDA=angle BAD
these two are alternate interior angles of two lines AB and CD
if alt angles are equal then the lines are parallel..
hence AB is parallel to CD...
NOW angle CDA=angle BAD
these two are alternate interior angles of two lines AB and CD
if alt angles are equal then the lines are parallel..
hence AB is parallel to CD...
Answered by
36
CD ║ AB if arc AC and BD are two equal arcs of a circle
Step-by-step explanation:
Equal Chord subtend equal angles
As AC & BD are equal arc
hence AC & BD are equal Chord
Angle subtended by Chord AC
∠ADC = ∠ABC
Angle subtended by Chord BD
∠BAD = ∠BCD
as Chord AC = Chord BD
=> ∠ADC = ∠ABC = ∠BAD = ∠BCD
=>∠ADC = ∠BAD
These are alternate angles
Hence CD ║ AB
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