91Ó°ÊÓ

Write the converse, the inverse, and the contrapositive of each statement. When possible, classify the statement as true or false. If Juan wins the state lottery, then he will be rich.

Consider a group of regular polygons. As the number of sides of a regular polygon increases, does each exterior angle increase or decrease in measure?

Find the total number of diagonals for a polygon of \(n\) sides if: a) \(n=6\) b) \(n=8\)

Draw a conclusion where possible. 1\. If \(x>3,\) then \(x=5\) 2\. \(x \neq 5\) \( \text { c. } \therefore ?\)

Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) \(900^{\circ}\) b) \(1260^{\circ}\)

Find the number of sides for a regular polygon whose exterior angles each measure: a) \(45^{\circ}\) b) \(9^{\circ}\)

What is the measure of each interior angle of a stop sign? (IMAGE CAN'T COPY)

Give the indirect proof for each problem or statement. If two angles are not congruent, then these angles are not vertical angles.

In Exercises 28 to \(30,\) write a formal proof of each theorem. Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles are not congruent. Can those two lines be parallel?

A regular octagon is rotated about a centrally located point (as shown). How many rotations are needed to repeat the given octagon vertex for vertex, if the angle of rotation is \(\begin{array}{lllll}\text { a) } & 10^{\circ} ? & \text { b) } 45^{\circ} ? & \text { c) } 90^{\circ} ? & \text { d) } 120^{\circ} ?\end{array}\) (figure not copy)