You have learned that conditional statements are true if the hypothesis and conclusion are both true. If we interchange the conclusion and the hypothesis will the resulting conditional statement be true? In this lesson you will be able to make a converse statement from the given conditional statement. The same way an inverse and a contrapositive statement can be derived from the conditional statement. Learning Task 1: Do the following: (a) Determine if the given conditional statement is true. (b) Switch the hypothesis and the conclusion and determine if the resulting statement is also true, (c) Write the hypothesis and the conclusion in negative form 1. If the triangle is equilateral, then it is equiangular. 2. If a polygon has exactly four sides, then it is a quadrilateral. 3. If a man is honest, he does not steal. 4. If two angles are supplementary then the sum of the of the measure of the angles is 180° 5. If a volcano is active, then it will erupt. D
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B. If the triangle is equiangular, then it is equilateral. True
C. If the triangle is not equilateral, then it is not equiangular.
2.a. true
B. If the polygon is quadrilateral, then it has exactly 4 sides.True
C.If the sides of polygon is not exactly 4 sides, then it is not quadrilateral
3.a.true
B. If a man is honest, he does not steal. True
C. If the man is not honest then he steals.
4.a.true
B. If the sum of the measure of two angles is 180°, then the angles are supplementary.
C. If the sum of two angles is not 180° then the angles are not supplementary
5.a.true
B. If the volcano erupts, then it's active. True
C. If the volcano is not active, then it will not erupt