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Converse, Inverse, and Contrapositive • From a conditional we can also create additional statements referred to as related conditionals. These include the converse, the inverse, and the contrapositive.
Converse, Inverse, and Contrapositive Statement Formed by Symbols Examples Conditional Converse Inverse Contrapositive Given an hypothesis and conclusion Exchange the hypothesis and conclusion Negate both the hypothesis and the conclusion Negate both the hypothesis and conclusion of the converse p q If 2 angles have the same measure, then they are congruent. q p If 2 angles are congruent, then they have the same measure. ~p ~q If 2 angles do not have the same measure, then they are not congruent. ~q ~p If 2 angles are not congruent, then they do not have the same measure.
Page 1 and 2: 2.3 Conditional Statements
Page 3 and 4: If-Then Statements • A conditiona
Page 5 and 6: Example 1b: Identify the hypothesis
Page 7 and 8: If-Then Statements • AS we just w
Page 9 and 10: Example 2b: Identify the hypothesis
Page 11 and 12: If-Then Statements • Since a cond
Page 13 and 14: Example 3b: Determine the truth val
Page 15 and 16: Example 3d: Determine the truth val
Page 17: If - Then Statements • From our r
Page 21 and 22: Example 4: Write the converse, inve
Page 23 and 24: Your Turn: Write the converse, inve

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