In the given figure ABCD, BD line bisects angle B and D.
Prove that triangleBAD - triangle BCD. State the three matching parts,
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triangle BAD - triangle BCD.
The three matching parts are: BA = BC, DA = DC and BD = BD
- From given, it is clear that ABCD is a polygon of four sides.
- Given, BD line bisects angle B and D
- It implies that the line is BD with angles ∠ B and ∠ D.
- We need to have 2 triangles within the given polygon.
- Consider the figure while going through the following steps.
- So, from figure, we have,
- BA = BC
- DA = DC
- BD = BD
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