Question

the circle is inscribed in triangle aec. which are congruent line - segments? select two options.
□ab and cb
□ef and ed
□ed and cd
□af and ef
□cb and cd

Explanation:

Step1: Recall tangent - segment property

If two tangent segments are drawn from an external point to a circle, then the two tangent segments are congruent.

Step2: Identify external points

For point A, the tangent segments are AF and AB. For point C, the tangent segments are CB and CD. For point E, the tangent segments are EF and ED.

Step3: Select congruent pairs

From the above - mentioned property, AF and EF (from point E) are not congruent. AB and CB are not congruent. But AF and EF are tangent segments from point E to the circle, and CB and CD are tangent segments from point C to the circle. So the congruent pairs are AF and EF, CB and CD.

Answer:

AF and EF, CB and CD