All fish swim.
a barracuda is a fish.
conjecture: barracudas swim.
use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false.
a.
true; law of detachment
b.
true; law of syllogism
c.
false; barracudas do not swim
d.
false; only some barracudas swim

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality