Draw a valid conclusion from the given statements, if possible. Then state whether your conclusion was drawn using the Law of Detachment or the Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.

Given: If two angles are complementary, the sum of the measures of the angles is $90^{\circ} . \angle 1$ and $\angle 2$ are complementary angles.

Determine whether the given conjecture is true or false. Give a counter example for any false conjecture.

If $\angle$ 2 and $\angle$ 3 are supplementary angles, then $\angle$ 2 and $\angle$ 3 form a linear pair.

Graph the line that satisfies given condition.

slope 2/3, passes through J(-5,4)

Write the conditional and converse for the statement. Determine the truth values of the conditionals and converses. If false, find a counterexample. Write a biconditional statement if possible.

89 an even number if it is divisible by 2.

Find the distance from P to l.

Line l contains points (2, 4) and (5, 1). Point P has coordinates (1, 1).

Draw a valid conclusion from the given statements, if possible. Then state whether your conclusion was drawn using the Law of Detachment or the Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.

Given: If a figure is a square, then all the sides are congruent. Figure ABCD is a square.

Determine whether the given conjecture is true or false. Give a counter example for any false conjecture.

If x is an integer, then -x is positive.

Use the Law of Syllogism to draw a valid conclusion conditional from each set of given statements, if possible. If no valid conclusion conditional can be written, write no valid conclusion and explain your reasoning.

If a number ends in 0, then it is divisible by 2.

If a number ends in 4, then it is divisible by 2.

Graph the line that satisfies given condition.

passes through X(1,-4), parallel to $\overleftrightarrow{Y Z}$ with Y(5,2) and Z(-3,-5)

Find the distance from P to l.

Line l contains points (0, - 2) and (6, 6). Point P has coordinates (-1, 5).

Write the converse, inverse, and contrapositive of the given true conditional statement. Determine whether that related conditional is true or false. If a statement is false, find a counterexample.

A medicine bottle says "If you will be driving, then you should not take this medicine."

name the definition, property, postulate, or theorem that justifies the given statement.

If angle 1 and angle 2 are vertical angles, then angle 1 $\cong$ angle 2

Graph the line that satisfies given condition.

passes through K(3,7), perpendicular to $\overleftrightarrow{L M}$ with L(-1,-2) and M(-4,8)

Write the converse, inverse, and contrapositive of the given true conditional statement. Determine whether that related conditional is true or false. If a statement is false, find a counterexample.

If two angles are supplementary, then one of the angles is acute.