For the following statement, what is the “prove” statement? if abcd is a rhombus, then it is a parallelogram.

ABCD is a parallelogram

for any "if, then" statement, the "If" part is what is given to us. So we are given that "ABCD is a rhombus". The "then" is what we want to prove. We want to prove that ABCD being a rhombus somehow connects to ABCD also being a parallelogram.

note: "if, then" statements are called conditional statements. Your book most likely calls the "if" part to be the antecedent; while the "then" is the conclusion.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.