Conditional Statements 2 1 Objectives To learn the

Conditional Statements 2 -1 Objectives: To learn the relationship between conditional statements

Using Logical Reasoning • If you are reading this slide, then you are a student in a geometry class. • If a point is a midpoint, then it divides a segment into two congruent segments. – What do these statements have in common

• Conditional Statement: If – Then Statement Every conditional has: 1) Hypothesis – the part following “if” 2) Conclusion – the part following “then” If a flower is red, then it is a rose. Hypothesis Conclusion

If a flower is red, then it is a rose. Hypothesis Conclusion Truth Value: when you determine whether a conditional is true or false

Underline the hypothesis once and the conclusion twice. Then, determine the truth value. If lines are perpendicular, then they form right angles. Truth Value?

2. 2 An Introduction to Logic Converse: when you interchange the hypothesis and conclusion of a conditional Write the converse for: If a polygon is a quadrilateral, then it has four sides. If a polygon has four sides, then it is a quadrilateral.

PRACTICE • Determine the truth value for each and write the converse of each: If you are reading this slide, then you are a student in Geometry. If two angles are complementary, then they add to 90°