Write the hypothesis and the conclusion of each conditional.

If $3 x-7=32,$ then $x=13$

Amrita B.

Numerade Educator

Write the hypothesis and the conclusion of each conditional.

I can't sleep if I'm not tired.

Dre'Shana S.

Numerade Educator

Write the hypothesis and the conclusion of each conditional.

I'll try if you will.

Amrita B.

Numerade Educator

Write the hypothesis and the conclusion of each conditional.

If $m \angle 1=90,$ then $\angle 1$ is a right angle.

Dre'Shana S.

Numerade Educator

Write the hypothesis and the conclusion of each conditional.

$a+b=a$ implies $b=0$

Amrita B.

Numerade Educator

Write the hypothesis and the conclusion of each conditional.

$x=-5$ only if $x^{2}=25$

Ashley H.

Numerade Educator

Rewrite each pair of conditionals as a biconditional.

If $B$ is between $A$ and $C,$ then $A B+B C=A C$ .

If $A B+B C=A C$ , then $B$ is between $A$ and $C$ .

Amrita B.

Numerade Educator

Rewrite each pair of conditionals as a biconditional.

If $m \angle A O C=180,$ then $\angle A O C$ is a straight angle.

If $\angle A O C$ is a straight angle, then $m \angle A O C=180$ .

Ashley H.

Numerade Educator

Write each biconditional as two conditionals that are converses of each other.

Points are collinear if and only if they all lie in one line.

Amrita B.

Numerade Educator

Write each biconditional as two conditionals that are converses of each other.

Points lie in one plane if and only if they are coplanar.

Ashley H.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If $a b<0,$ then $a<0$

Amrita B.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If $n^{2}=5 n$ . then $n=5$

Dre'Shana S.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If point $G$ is on $\overrightarrow{A B},$ then $G$ is on $\overrightarrow{B A}$

Amrita B.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If $x y>5 y,$ then $x>5$

Ashley H.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If a four-sided figure has four right angles, then it has four congruent sides.

Amrita B.

Numerade Educator

Provide a counterexample to show that each statement is false. You may use words or a diagram.

If a four-sided figure has four congruent sides, then it has four right angles.

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If $x=-6,$ then $|x|=6$

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If $x^{2}=4,$ then $x=-2$

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If $b>4,$ then $5 b>20$

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If $m \angle T=40,$ then $\angle T$ is not obtuse.

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If Pam lives in Chicago, then she lives in Illinois.

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If $\angle A \cong \angle B,$ then $m \angle A=m \angle B$

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

$$

a^{2}>9 \text { if } a>3

$$

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

$$

x=1 \text { only if } x^{2}=x

$$

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

$$

n>5 \text { only if } n>7

$$

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

$$

a b=0 \text { implies that } a=0 \text { or } b=0

$$

Ashley H.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If points $D, E,$ and $F$ are collinear, then $D E+E F=D F$

Amrita B.

Numerade Educator

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

$P$ is the midpoint of $\overline{G H}$ implies that $G H=2 P G$

Ashley H.

Numerade Educator

What can you conclude if the following sentences are all true?

$\begin{array}{llll}{\text { (1) If } p, \text { then } q .} & {\text { (2) } p} & {\text { (3) If } q, \text { then not } r .} & {\text { (4) } \operatorname{sor} r}\end{array}$

Amrita B.

Numerade Educator