Answer/Step-by-step explanation:
Statement 1: [tex] \overline{AD} = \overline{RC} [/tex]
Reason 1: Given
Statement 2: <A ≅ <R
Reason 2: Given
Statement 3: <AMD ≅ <RMC
Reason 3: vertical angles
Both angels are vertical angles. Vertical angles are congruent to each other. Therefore, <AMD ≅ <RMC.
Statement 4: ∆MAD ≅ ∆MRC
Reason 4: AAS Congruence Theorem
Two angles and a non-included side in ∆MAD are congruent to corresponding two angles and a non-included side in ∆MRC. Based on the AAS Congruence Theorem, both triangles are congruent.
