In the figure given below, M is the mid-point of AB

Geometry

In the figure given below, M is the mid-point of AB and ∠DAB = ∠CBA and ∠AMC = ∠BMD. Then the triangle ADM is congruent to the triangle BCM by

  1. SAS rule
  2. SSS rule
  3. ASA rule
  4. AAA rule

Answer

As M is the mod-point of AB, AM = MB.

Two angles, ∠DAB = ∠CBA and ∠AMC = ∠BMD, and included sides are equal. So, the triangle ADM is congruent to the triangle BCM by ASA rule.

The correct option is C.