In the figure below, $A B \| C D$ . Are $\triangle A O B$ and $$\triangle C O D$$ similar triangles?

Name: In the figure below, $A B \| C D$ . Are $\triangle A O B$ and \[\triangle C O D\] similar triangles?
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Question

In the figure below, $A B \| C D$ . Are $\triangle A O B$  and $$\triangle C O D$$  similar triangles?

Quizplus · Accepted Answer

Since $AB\|CD$, we have $\angle AOB = \angle COD$ since they are corresponding angles. Also, $\angle ABO = \angle CDO$ since they are alternative interior 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 $\triangle A O B$