Parallel and Perpendicular Lines Exercises

All regular polygons have side lengths of equal length and angles of equal measure. True or false?

Hint

When we say "regular," we aren't talking about scheduled trips to the potty.

Why is a circle not an example of a polygon?

Hint

What are the three characteristics of a polygon? Which do circles satisfy?

Is there such a thing as a regular nonagon (9 sides)?

Hint

It might not have parallel or perpendicular sides, but we don't discriminate.

What kind of regular polygon has 5 sets of parallel lines?

Hint

We could also say that the polygon has 5 pairs of parallel lines. But that would be far too obvious, wouldn't it?

What is the interior angle sum of a parallelogram?

Hint

A parallelogram is made of two pairs of parallel lines that cross each other.

What is the interior angle sum of a heptagon (7 sides)?

Hint

You could draw it out and calculate it…or just use the formula 180(n – 2).

What are the values of x and y?

Hint

Use your knowledge of parallel lines, transversals, and the fact that a right angle will always be a right angle.