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.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download