Question

If in the given figure, AB||CD and AB : CD = 2 : 1, then the above two triangles are .

• A. similar
• B. congruent
• C. dissimilar

Answer 1

The correct option is A similar


In the triangles given,
$\angle OAB=\angle OCD\text{(alternate angles)}$
$\angle ABO=\angle CDO\text{(alternate angles)}$
$\angle BOA=\angle DOC\text{(vertically opposite angles)}$
$\text{Hence,}△ABO\sim △CDO$
using AAA criteria.