91Ó°ÊÓ

A regular polygon has 18 sides. Find the measure of each interior angle.

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

Measure one pair of corresponding angles. Repeat the experiment with another transversal. What appears to be true?

A regular polygon has 24 sides. Find the measure of each exterior angle.

1. What is the measure of each interior angle of a regular pentagon?
2. Can you tile a floor with tiles shaped like regular pentagons? (ignore the difficulty in tiling along the edges of the room.)

Find the values of x and y that make the red lines parallel and the blue lines parallel.

Make a sketch showing how to tile a floor using both squares and regular octagons.

Draw several diagrams to help you decide whether each statement is true or false. If it is false, show a counterexample. It is true, draw and label a diagram you could use in a proof. List, in terms of the diagram, what is given and what is to be proved. Do not write a proof.

If a triangle has two congruent angles, then the sides opposite those angles are congruent.

Complete each statement with the word always, sometimes, or never.

A line in the plane of a wall and a line in the plane of the floor are

a. _?_Parallel.

b. _?_intersecting.

c. _?_skew.

Each interior angle of a regular polygon has measure 150. How many sides does the polygon have?

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

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