Inverses and contrapositives
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Inverses and Contrapositives. 9.3.2.2 Accurately interpret and use words and phrases in geometric proofs such as "if…then," "if and only if," "all," and "not." Recognize the logical relationships between an "if…then" statement and its inverse, converse and contrapositive. .

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Inverses and contrapositives

Inverses and Contrapositives

9.3.2.2 Accurately interpret and use words and phrases in geometric proofs such as "if…then," "if and only if," "all," and "not." Recognize the logical relationships between an "if…then" statement and its inverse, converse and contrapositive.


Guiding question how do i negate conditional statements

  • Lesson Objective: Iwbat convert a conditional statement into its inverse and contrapositive.

  • Write the following as a conditional and then write the converse.

  • Two angles whose sum is 90 are complementary.

Guiding Question: How do I negate conditional statements?


Guiding question how do i negate conditional statements1

  • Conditional Statement

    If 2 angles are vertical, then they are congruent.

  • What is the hypothesis?

  • What is the conclusion?

  • What is the inverse?

  • What is the contrapositive?

Guiding Question: How do I negate conditional statements?


Guiding question how do i negate conditional statements2

“Today is Wednesday” of a statement.

  • Write the conditional

  • Write the converse

  • Write the inverse

  • Write the contrapositive

Guiding Question: How do I negate conditional statements


Guiding question how do i negate conditional statements3

“The Lion is the King of the Jungle” of a statement.

  • Write the conditional statement

  • Write the converse

  • Write the inverse

  • Write the contrapositive

Guiding Question: How do I negate conditional statements?


Guiding question how do i negate conditional statements4

Guiding Question: How do I negate conditional statements?


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