Question

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.

Answer 1

The first picture

• ΔBOY ≅ ΔMAN by ASA

Two angles and the included side of ΔBOY are congruent to corresponding parts of ΔMAN

The second picture

• ΔBLK ≅ ____ by CNBD

We can see parallel segments and transversals forming 3 congruent angles in both triangles but this is not enough to state the triangles are congruent.

BA ∩ LC = K is not a midsegment.

With the info we have we can only state that the triangles are similar but not congruent.