TURILO
True or false? To begin an indirect proof, you assume the opposite of what
you intend to prove is true.
LELE
A. True
O
B. False

Answer – True

To begin an indirect proof, you assume the inverse of what you intend to prove is true. An indirect proof takes the conclusion from a hypothesis and assumes that the inverse is true until a contradiction is reached, thus showing that if the inverse is true there would be a contradiction. In other words, indirect proof demonstrates that something else apart from the given statement (usually algebraic or geometric) would not make sense.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)