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Given BD bisects ABC and AC is perpendicular to BD prove ABD =CBD by filling out the flow chart

Given BD bisects ABC and AC is perpendicular to BD prove ABD =CBD by filling out the-example-1
User Tangie
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1 Answer

25 votes
25 votes

Observe the given figure carefully.

1.

Statement:


\angle ABD=\angle CBD

Reason: Angle bisector divides the angles into two equal halves.

2.

Statement:


BD=BD

Reason: Side common to both the triangles.

3.

Statement:


\angle BDA=\angle BDC

Reason: As AC is perpendicular to BD, the angles BDA and BDC will be 90 degrees.

4.


\Delta ABD\cong\Delta CBD

Reason: By using ASA congruence.

Thus, the resulting flow chart can be obtained as follows,

Given BD bisects ABC and AC is perpendicular to BD prove ABD =CBD by filling out the-example-1
User HenrikB
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2.7k points