# Conditional Statements, Converses, Counterexamples, Truth Values

Worksheet (Geometry)

## Conditional Statements, Converses, Counterexamples, Truth Values Worksheet

This worksheet contains introductory questions on conditional statements and converses. Students are asked to name and identify the parts of a conditional statement (hypothesis & conclusion), to find the converse of a conditional, to determine the truth value of a statement, and provide counterexamples.

## Lesson:

To idenify hypothesis and conclusions and find converses in conditional statements.

11

3

Yes

## Samples:

Write the hypothesis and conclusion of each conditional.
1) If it rains, then the game will be cancelled.

2) If you do not sleep, you will be tired.

3) AB = BC if B is the midpoint of AC .

4) If x = -2, then x2 = 4

Show that each conditional is false by finding a counterexample.

5) If an animal is a bird, then it is a penguin. 6) If x > 2, then x > 5

7) If a number is divisible by 2, then it is divisible by 4.

Write the converse of each statement. If the converse is true, write true. If the converse is false, give a counterexample.

8) If two angles are right angles, then they are congruent.
9) If x + 20 = 25, then x = 5.