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  1. 28 lis 2020 · contrapositive: If a conditional statement is \(p\rightarrow q\) (if \(p\) then q), then the contrapositive is \(\sim q\rightarrow \sim p\) (if not q then not p). converse: If a conditional statement is \(p\rightarrow q\) (if \(p\), then \(q\)), then the converse is \(q\rightarrow p\) (if \(q\), then \(p\).

  2. Example 1 Use the statement: Any two points are collinear. a) Find the converse, inverse, and contrapositive, and determine if the statements are true or false.

  3. Example 1: Write the converse to the following statement: “If an angle is a right angle, then it is 90°.” Example 2: Write the contrapositive of the following statement: “If a polygon is a square, then it is a rectangle.” Types of Statements Conditional Statement: if _____ then _____ Converse Statements: if _____ then _____

  4. G.CO.C.9: Inverse, Converse and Contrapositive. 1 What is the inverse of the statement “If two triangles are not similar, their corresponding angles are not congruent”? 1) If two triangles are similar, their corresponding angles are not congruent. 2) If corresponding angles of two triangles are not congruent, the triangles are not similar.

  5. Our goal is to get to the point where we can do the contrapositive mentally. In other words, we want to be able to read a conditional statement (if P then Q) and immediately \see" the contrapositive.

  6. Example 1 The converse of this statement will be q ! p, so it will be: If 2+2 = 4, then it rains. The inverse of this statement will be :p ! :q, so it will be: If it doesn’t rain, then 2+2 6= 4 . The contrapositive of this statement will be :q ! :p, so it will be: If 2+2 6= 4 , then it doesn’t rain.

  7. 1 paź 2024 · If the “if-then” statement is true, then the contrapositive is also true. The contrapositive is logically equivalent to the original statement. The converse and inverse may or may not be true. When the original statement and converse are both true then the statement is a biconditional statement.

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