Question

Which Similarity criteria will be used to prove: $\Delta BCD\sim \Delta BAD$?

• A. AAA similarity criterion
• B. SAS similarity criterion
• C. SSS similarity criterion
• D. All of the above

Answer 1

The correct option is B SAS similarity criterion

We can see from the given figure that, in $\Delta BCD$ and $\Delta BAD$
$AD=DC$

$BD=BD$

and $\angle BDA=\angle BDC$

So, the two triangles are similar by $SAS$ similarity criterion.

Hence, $SAS$ similarity criterion is used to prove $\Delta BCD\sim \Delta BAD$.