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Warm up Re-write the following statements as an if-then statement.

Homework : pg 83; 16-21 and 25-29 . Warm up Re-write the following statements as an if-then statement. State the converse of the statement. The midpoint of a segment is a point that divides the segment into two congruent segments

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Warm up Re-write the following statements as an if-then statement.

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  1. Homework: pg 83; 16-21 and 25-29 • Warm up • Re-write the following statements as an if-then statement. • State the converse of the statement. • The midpoint of a segment is a point that divides the segment into two congruent segments • Two angles are complementary if the sum of their measures is 90 degrees • In an equilateral polygon, all sides are congruent

  2. Converse- inverse- contrapositive Ex: if water is frozen, then its temperature is below 0⁰C. Converse- exchange the hypothesis and the conclusion Ex- if the watertemperature is below 0 ⁰C, then it is frozen Inverse-negate both the hypothesis and the conclusion Ex: If water is not frozen, then its temperature is not below 0 ⁰C Contrapositive- negate the hypothesis and conclusion of the converse Ex: if the water temperature is not below 0 ⁰C, then it is not frozen

  3. Hmwk-pg 83; 7-10 7) Complementary angles add to 90 degrees If-then _____________________________________________________ Converse ___________________________________________________ Inverse _____________________________________________________ Contrapositive _______________________________________________ 9) 3x + 10 = 16, because x = 2 If-then _____________________________________________________ Converse ___________________________________________________ Inverse _____________________________________________________ Contrapositive _______________________________________________

  4. Guitar players are musicians… If-then Converse Inverse Contrapositive True/false?

  5. With a partner… If a polygon is equilateral, then it is regular. Converse- Inverse- Contrapositive- Equivalent statements- both are true or both are false

  6. Biconditional statements • When a conditional statement and the converse are both true • Use the phrase “if and only if” • Ex: If two lines intersect to form a right angle, then they are perpendicular lines • Converse- • Biconditional- two lines are perpendicular _____________ they intersect to form a right angle

  7. Biconditionals • Definition of right angle • The midpoint of a segment is a point that divides the segment into two congruent segments • Two angles are complementary if the sum of their measures is 90 degrees • In an equilateral polygon, all sides are congruent

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