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Which rule proves two triangles congruent (SSS, SAS, ASA)

This type of question, asked 2 times: CDS 1 2017, CDS 1 2018. All 2 questions below, oldest first.

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  1. Question 1

    CDS 1 2017

    98
    In the figure given below, M is the mid-point of AB and ∠DAB=∠CBA\angle DAB = \angle CBA and ∠AMC=∠BMD\angle AMC = \angle BMD. Then the triangle ADM is congruent to the triangle BCM by

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  2. Question 2

    CDS 1 2018

    80
    Consider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle, 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct ?

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