Warm Up 09.20.11 Week 6 m ∡ 9 = 33º 6 7 8 9 1) What is m ∡ 7? 2) What is m ∡ 8?

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Presentation transcript:

Warm Up Week 6 m ∡ 9 = 33º ) What is m ∡ 7? 2) What is m ∡ 8?

Geometry 2.1 Day 2 I will write the Converse, Inverse, and Contrapositive of a Statement. Converse Statement Switch the hypothesis and the conclusion. Ex 1 If two segments are congruent then they have the same length. If two segments have the same length then they are congruent. Statement: Converse:

Ex 2 If ∡ 1 measures 136º, then ∡ 1 is obtuse. If ∡ 1 is obtuse, then ∡ 1 measures 136º. 1 Statement: Converse:

InverseNegate the hypothesis and the conclusion. Ex 3 Inverse: If the m ∡ A ≠ 40º, then it is not acute. If the m ∡ A = 40º, then it is acute. Statement:

Contra- positive Negate the hypothesis and the conclusion of the converse. Ex 4 Statement: Converse: If the m ∡ A = 40º, then it is acute. If ∡ A is acute, then m ∡ A = 40º. Contra- positive: If ∡ A is not acute, then m ∡ A ≠ 40º.

Ex 5 Original Statement If m ∡ B = 150º, then ∡ B is obtuse. Converse Inverse Contrapositive

Ex 5 Original Statement If m ∡ B = 150º, then ∡ B is obtuse. Converse If ∡ B is obtuse, then m∡ B = 150º Inverse Contrapositive

Ex 5 Original Statement If m ∡ B = 150º, then ∡ B is obtuse. Converse If ∡ B is obtuse, then m∡ B = 150º Inverse If m ∡ B ≠ 150º, then ∡ B is not obtuse. Contrapositive

Ex 5 Original Statement If m ∡ B = 150º, then ∡ B is obtuse. Converse If ∡ B is obtuse, then m∡ B = 150º Inverse If m ∡ B ≠ 150º, then ∡ B is not obtuse. Contrapositive If ∡ B is not obtuse, then m∡ B is not 150º.

Ex 6 Original: Converse: Contra- positive: Inverse: When there is a teacher’s meeting we are dismissed early. If we are dismissed early, then there is a teacher’s meeting. If there is not a teacher’s meeting, then we are not dismissed early. If we are not dismissed early, then there is not a teacher’s meeting. If - then: If there is a teacher’s meeting, then we are dismissed early.

Do: 1 When I hear thunder I see lightning. Review Negation means to write the _______ of a statement. Assignment: Textbook Page 76, 18 – 24 All, 46 – 49 All, and 61 – 64 All. Write in if-then form, the converse, inverse, and contrapositive:

Do: 1 Statement: Converse: Contra- positive: Inverse: If it is summer, then school is out. If school is out, then it is summer. If it is not summer, Then school is not out. If school is not out, Then it is not summer.