http://www.ck12.org Chapter 2. Reasoning and Proof
Guided Practice
First rewrite in if-then form, then determine the hypothesis and conclusion.
- Sally eats a snack if she is hungry.
- The angles in a triangle add up to 180 degrees.
- 2012 is a leap year.
Answers:
- In if-then form, the statement isIf Sally is hungry, then she eats a snack. The hypothesis isSally is hungryand
the conclusion isshe eats a snack. - In if-then form, the statement isIf a shape is a triangle, then its angles add up to 180 degrees. The hypothesis is
a shape is a triangleand the conclusion isits angles add up to 180 degrees. - In if-then form, the statement isIf it is 2012, then it is a leap year.The hypothesis isit is 2012and the conclusion
isit is a leap year.
Explore More
For questions 1-10, determine the hypothesis and the conclusion.
- If 5 divides evenly intox, thenxends in 0 or 5.
- If a triangle has three congruent sides, it is an equilateral triangle.
- Three points are coplanar if they all lie in the same plane.
- Ifx=3, thenx^2 =9.
- If you take yoga, then you are relaxed.
- All baseball players wear hats.
- I’ll learn how to drive when I am 16 years old.
- If you do your homework, then you can watch TV.
- Alternate interior angles are congruent if lines are parallel.
- All kids like ice cream.
Rewrite each statement in if-then form.
- Susie eats pizza every Thursday.
- Raychel always completes her homework.
- Alex goes to school every weekday.
- All students have a math class.
- Squares have right angles.