91Ó°ÊÓ

Write a two-column proof for each conditional. If $$25=-7(y-3)+5 y, \text { then }-2=y$$

Determine the truth value of the following statement for each set of conditions. If you drive faster than 65 miles per hour, then you will receive a speeding ticket. You drive 70 miles per hour, and you receive a speeding ticket.

Determine the truth value of the following statement for each set of conditions. If you drive faster than 65 miles per hour, then you will receive a speeding ticket. You drive 62 miles per hour, and you do not receive a speeding ticket.

State the property that justifies each statement. $$\text { If } m \angle A=m \angle B \text { and } m \angle B=m \angle C, m \angle A=m \angle C$$

Determine the truth value of the following statement for each set of conditions. If you drive faster than 65 miles per hour, then you will receive a speeding ticket. You drive 68 miles per hour, and you do not receive a speeding ticket.

Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning. If two numbers are odd, then their sum is even. Given: The sum of two numbers is 22 Conclusion: The two numbers are odd.

Make a conjecture about the next item in each sequence. $$1,2,4,8,16$$

Write the converse, inverse, and contrapositive of each conditional statement. Determine whether each related conditional is true or false. If a statement is false, find a counterexample. If plants have water, then they will grow.

Prove the following. $$\begin{aligned}&\text { If } \overline{X Y} \cong \overline{W Z} \text { and } \overline{W Z} \cong \overline{A B}\\\ &\text { then } \overline{X Y} \cong \overline{A B}\end{aligned}$$ CAN'T COPY THE GRAPH

Make a conjecture about the next item in each sequence. $$4,6,9,13,18$$