91Ó°ÊÓ

In Exercises \(21-24,\) use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible. If \(a=3,\) then \(5 a=15 .\) If \(\frac{1}{2} a=1 \frac{1}{2},\) then \(a=3\)

In Exercises \(17-24,\) write the conditional statement \(p \rightarrow q,\) the converse \(q \rightarrow p,\) the inverse \(\sim p \rightarrow \sim q\) , and the contrapositive \(\quad \mathrm{q} \rightarrow \sim \mathrm{p}\) in words. Then decide whether each statement is true or false. Let p be "the Sun is out" and let \(\mathrm{qe}\) "it is daytime."

In Exercises \(21-24,\) use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements, if possible. If a l gure is a rhombus, then the gure is a parallelogram. If a l gure is a parallelogram, then the gure has two pairs of opposite sides that are parallel.

In Exercises \(17-24,\) write the conditional statement \(p \rightarrow q,\) the converse \(q \rightarrow p,\) the inverse \(\sim p \rightarrow \sim q\) , and the contrapositive \(\quad \mathrm{q} \rightarrow \sim \mathrm{p}\) in words. Then decide whether each statement is true or false. Let p be "it is Valentine's Day" and let q be "it is February.

One way to graph a linear equation is to plot two points whose coordinates satisfy the equation and then connect them with a line. Which postulate guarantees this process works for any linear equation?

In Exercises \(25-32\) , name the property of equality that the statement illustrates. $$\text { If }\mathrm{AM}=\mathrm{MB} \text { , then } \mathrm{AM} \square 5=\mathrm{MB}\square5$$

A way to solve a system of two linear equations that intersect is to graph the lines and the coordinates of their intersection. Which postulate guarantees this process works for any two linear equations?

Draw three lines all intersecting at the same point. Explain how you can give two of the angle measures so that you can and the remaining four angle measures.

Is the converse of the Linear Pair Postulate (Postulate 2.8 ) true? If so, write a biconditional statement. Explain your reasoning.

In Exercises \(25-32\) , name the property of equality that the statement illustrates. $$\text { if }\mathrm{m} \angle \mathrm{A}=29^{\circ} \text { and } \mathrm{m} \angle \mathrm{B}=29^{\circ}, \text { then } \mathrm{m} \angle \mathrm{A}=\mathrm{m} \angle \mathrm{B}$$