Chapter 2: Deductive Reasoning

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Justify each statement with a property from algebra or property of congruence $\angle P\cong \angle P$.

State the hypothesis and the conclusion of each conditional.

If , then .

Find the measures of a compliment and a supplement of $\angle K$.

$m\angle K=20$

State which postulate, definition, or theorem justifies the statement about the diagram.

$m\angle AEB+m\angle BEC=m\angle AEC$

Use the conditional: If $\overline{AB}$and $\overline{CD}$intersect, then $\overrightarrow{AB}$and $\overrightarrow{CD}$intersect.

Write the hypothesis and the conclusion of the conditional.

Find the measures of a complement and a supplement of $\angle A$.

$m\angle A=10$

State which postulate, definition, or theorem justifies the statement about the diagram.

If D is the midpoint of $\overline{BC}$, then $\overline{BD}\cong \overline{DC}$.

Justify each step.

$\begin{array}{c}4x-5=-2\\ 4x=3\\ x=\frac{3}{4}\end{array}$

Enter the program on your computer and RUN it. Do you notice any patterns or trends in the coordinate? Change line 40 so that the computer will print the coordinates up to $P_{40}$. What simple fraction is approximated by $P_{40}$?