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.
Answer
True.
Why is a circle not an example of a polygon?
What are the three characteristics of a polygon? Which do circles satisfy?
A circle is not a polygon because it's not made of straight line segments.
Is there such a thing as a regular nonagon (9 sides)?
It might not have parallel or perpendicular sides, but we don't discriminate.
Yes, of course. As long as all the side lengths and angle measures are equal to each other, any polygon can be called regular.
What kind of regular polygon has 5 sets of parallel lines?
We could also say that the polygon has 5 pairs of parallel lines. But that would be far too obvious, wouldn't it?
A decagon (10-sided polygon).
What is the interior angle sum of a parallelogram?
A parallelogram is made of two pairs of parallel lines that cross each other.
360°
What is the interior angle sum of a heptagon (7 sides)?
You could draw it out and calculate it…or just use the formula 180(n – 2).
900°
What are the values of x and y?
Use your knowledge of parallel lines, transversals, and the fact that a right angle will always be a right angle.
x = 8, y = 88
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