Download Conditional Statements

Conditional Statements
Objective: To write conditional, converse and biconditional
statements.
Conditional Statements
Conditional Statements -
Hypothesis Conclusion -
What is the hypothesis and conclusion of the conditional statements.
If the weather is nice, we will go swimming.
If I ride my bike to softball practice, then I will get there on time.
Write each statement as a conditional.
Purple and yellow are complementary colors.
A point in the first quadrant has two positive coordinates.
Use the definitions of p, q, and r to write each conditional statement
below in symbolic form.
p: It is raining. q: Need an umbrella.
a. If it is raining, then you need an umbrella.
b. If you do not need an umbrella, then it is not raining.
c. Write the conditional statement using the following: q -> p
Converse -
Write the converse of each statement.
If I study, then I pass the Geometry test.
If I am happy, then I laugh.
Write a conditional statement that each Venn diagram illustrates.
Counterexample -
Determine if the conditional is true or false. If it is false, find a
counterexample.
If two angles add up to 180, then they are supplementary.
If it is after sunset, you can see the stars.
Biconditional -
Write as a biconditional statement, if possible.
If two angles have equal measure, then the angles are congruent.
A square is a rectangle with four congruent sides.
An equilateral triangle is a triangle with three congruent sides.
A hexagon is a six-sided polygon.