The triangle BEC is similar to the triangle AEB. Then the correct option is 3.
What is the similarity?
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
The three points of similarity are:-
- In the triangle AEB and BEC sides, BE is common. ( SIde )
- BE is a perpendicular bisector at point E dividing the line AC into AE and EC into two equal parts. (Angle )
- Angle ABE and CBE are also equal.( Angle)
The triangle BEC is similar to the triangle AEB by the Angle - side -Angle property.
Hence, option 3 is correct.
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