Question

Can you please help with the 2 column proofs. It is not a test/quiz

Answer 1

COnsider the figure,

Two triangles are said to be congruent if all their three sides and three angles are equal.

SInce angle K and N are both right angles, we have,

`<\text{MKL}=<\text{MNL}`

The side ML is the shared side, and hence equal for both the triangles.

SInce LM bisects angle KLN, we have,

`<\text{KML}=<\text{NML}`

Thus, from AAS theorem ( stands for Angle-angle-side), when two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

Hence the triangles are congruent.