Find the pattern for each sequence. Describe the pattern and use it to show the next two terms.

1000, 1000, 10, _____, _____

Find a counterexample to show that each conjecture is false.

The product of any integer and 2 is greater than 2.

The city of Freeman is in Missouri.

Rewrite each sentence as a conditional statement.

All motorcyclists wear helmets.

Two nonparallel lines intersect in one point.

Angles that form a linear pair are supplementary.

Write the converse, inverse, and contrapositive of the given conditional. Then determine the truth value of each statement.

If a figure is a square, then is has four sides.

Converse:

Inverse:

Contrapositive:

Write the following definition as a biconditional.

An oxymoron is a phrase that contains contradictory terms.

Use the Law of Detachment or Syllogism to make a conclusion.

If your father buys new gardening gloves, then he will work in his garden. If he works in his garden, then he will plant tomatoes.

If you practice tennis every day, then you will become a better player. Colin practices tennis every day.

Fill in the reason that justifies each step.

Find the value of each variable and the measure of each labeled angle.

Find the value of each variable and the measure of each labeled angle.