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Prove that the opposite angles of a parallelogram are congruent.
Given: //ogram ABCD with diagonal AC Prove: <B is congruent to <D 1. ABCD is a //ogram 1. Given 2. AC is congruent to AC 2. Reflexive Property 3. AB is congruent to CD and 3. Opposite sides of a //ogram are congruent AD is congruent to CB 4. Triangle ABC is congruent to triangle CDA 4. SSS congruence 5. <B is congruent to < D 5. CPCTC Similarly <C is congruent to <A