Chapter 2: Logic
3.2 Conditional Statements –
Examples:
• If Mary cleans her room, then she will go to the concert.
• If it is sunny, then we will swim.
• If it is July, then it is summer.
• If a figure is a square, then it has four equal sides.
• I will get a good grade in math, if I study hard.
• When you need help, ask your friend.
Parts of a conditional:
Writing Statements in Conditional form.
1) Congruent segments are segments that have the same measure.
2) All students like pizza
3) A scalene triangle is a triangle that has no congruent sides.
Conditional Statements, Converse & Truth Values
Converse – Switch the “if” sentence and the “then” sentence’
Conditional #1: If a figure is a square, then it has four sides.
Converse:
Conditional #2: If two angles have equal measure, then they are congruent.
Converse:
Conditional #3: If lines lie in the same plane, then they are coplanar.
Converse:
Good mathematical definitions (and theorems) are bi-directional. If you put an accurate definition into "if - then" form, the definition will be true when the portions of the "if" and "then" statements are exchanged.
⋄
Rewrite each definition in conditional form, and its converse.
Perpendicular lines are lines that intersect to form right angles.
Conditional:
Converse:
An isosceles triangle is a triangle with two congruent sides.
Conditional:
Converse:
Rewrite the conditionals as statements, written two different ways, by interchanging the hypothesis and conclusion.
If a triangle has a right angle, then it is a right triangle.
If 2 angles are complementary, their sum is 90o.
If a triangle has three equal sides, it is equilateral.
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