Geometry Unit 3

What is the hypothesis of this conditional statement?

If it is 100 degrees outside, then it is hot.

• If is 100 degrees outside

• then it is hot

• Click this button to go to space.

• Click this button to gain super powers.

What is the hypothesis?

Rectangles have two pairs of parallel sides.

• If it is a rectangle

• If it has two pairs of parallel sides

• Then it is a rectangle

• Then it has two pairs of parallel sides

True or False: If x² = 16, then x = 4

• True

• False

The contrapositive states

• If p, then q.

• If ~p, then ~q.

• If q, then p.

• If ~q, then ~p.

The converse states

• If p, then q.

• If ~p, then ~q.

• If q, then p.

• If ~q, then ~p.

The inverse states

• If p, then q.

• If ~p, then ~q.

• If q, then p.

• If ~q, then ~p.

Which related statements will always have the same truth value? Select more than one answer.

• Conditional and Inverse

• Conditional and Contrapositive

• Converse and Inverse

• Inverse and Contrapositive

If the conditional statement's truth value is TRUE, then contrapositive statement's true value is also ______.

• True

• False

If the conditional statement's truth value is FALSE, then the contrapositive statement's truth value is also _____.

• True

• False

Write the inverse of the conditional statement: If I am not 16, then I can't drive.

• If I can't drive, then I am not 16.

• If I am not 16, then I can't drive.

• If I can drive, then I am 16.

• If I am 16, then I can drive.