Question

By which rule are these triangles congruent?

A) AAS

B) ASA

C) SAS

D) SSS

Answer 1

Answer:

Option B is correct.

By ASA rule are these triangles are congruent

Step-by-step explanation:

In triangle JMK and triangle JMN

$\angle KJM \cong \angle NJK$   [Angle]         [Given]

$JM \cong JM$   [Common Side]  

$\angle JMK \cong \angle JMN$   [Angle]

ASA(Angle-Side-Angle) theorem states that if two angles and the included  side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.

then, by ASA theorem;

$\triangle JMK \cong \triangle JMN$

Therefore, by ASA rule are these triangles are congruent.