Conditional Statements and Related Statements

Write the form of a Converse.

• If q, then p

• If p, then q

• If not p, then not q

• If not q, then not p

Write the form of a Conditional Statement.

• If q, then p

• If p, then q

• If not p, then not q

• If not q, then not p

Write the form of an Inverse.

• If ~p, then ~q.

• If p, then q.

• If q, then p.

• If ~q, then ~p.

Write the form of a Contrapositive.

• If q, then p

• If p, then q

• If ~q, then ~p

• If ~p, then ~q

What do we do when we want to write the converse?

• flip

• leave it as is

• "not"

• flip and "not"

What do we do when we want to write the inverse?

• flip

• leave it as is

• "not"

• flip and "not"

What do we do when we want to write the Contrapositive?

• flip

• leave it as is

• "not"

• flip and "not"

Write the following as a conditional statement: A triangle has three sides.

• If a figure is a triangle, then it has three sides.

• If a figure has three sides, then it is a triangle.

• If a figure is a triangle, then it has four sides.

• If a figure has three angles, then it is a triangle.

Write the following as a conditional statement: All right angles are congruent.

• If an angle is a right angle, then it is congruent to all other right angles.

• If two angles are congruent, then they are both right angles.

• If an angle is congruent to another angle, then it is a right angle.

• If an angle is not a right angle, then it is not congruent to any right angle.

Write the following as a conditional statement: A figure is a square only if it has four equal sides and four right angles.

• If a figure has four equal sides and four right angles, then it is a square.

• If a figure is a square, then it does not have four equal sides and four right angles.

• If a figure does not have four equal sides and four right angles, then it is a square.

• If a figure is not a square, then it has four equal sides and four right angles.