In the figure below, $A B \| C D$ . Are $\triangle A O B$ and $$\triangle C O D$$ similar triangles?
A) Yes
B) No

Question

In the figure below, $A B \| C D$ . Are $\triangle A O B$  and $$\triangle C O D$$  similar triangles? 
A) Yes 
B) No

Quizplus · Accepted Answer

Since $AB \| CD$, we have $\angle AOB = \angle COD = 180^\circ$ and therefore both triangles have a common angle at O. Also, since $AB \| CD$, we have $\angle ABO = \angle CDO$ and $\angle BAO = \angle DCO$ (corresponding angles). Therefore, by angle-angle similarity, $\triangle AOB$ and $\triangle COD$ are similar triangles.

In the Figure Below AB∥CDA B \| C DAB∥CD Are △AOB\triangle A O B△AOB

In the Figure Below $A B \| C D$ Are $\triangle A O B$