Download 2.2 Conditional Statements

CONDITIONAL
STATEMENTS
If-Then Statements
Section 2.2
Warm Up
Determine if each statement is true or
false.
1. The measure of an obtuse angle is less than
90°.
2. All perfect-square numbers are positive.
3. Every prime number is odd.
4. Any three points are coplanar.
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Conditional Statement
Definition: A conditional statement is a statement
that can be written in if-then form.
“If _____________, then
______________.”
Children go to school.
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Conditional Statements have two parts:
The hypothesis is the part of a conditional
statement that follows “if” (when written in
if-then form.)
The hypothesis is the given information, or the
condition.
The conclusion is the part of an if-then
statement that follows “then” (when written
in if-then form.)
The conclusion is the result of the given
information.
The converse statement switches
the hypothesis and conclusion.
Although the original statement is
true, the converse many not always
be true.
a. Write each in if-then form
b. Write the converse of the statement
c. Give a counterexample if the converse is
false.
1. Adjacent angles share a common side.
2. All squares are rectangles.