Polygon True False, Please Help!?
I'm so confused on this, could anyone help me?
True or False:
1. If a polygon is equilateral, than it's regular
2. A regular polygon is equiangular
3. An equiangular quadrilateral is a regular quadrilateral
4. A square is both an equilateral and an equiangular quadrilateral
5. There exists a polygon such that the sum of the measures of the interior angles is 180
6. There exists a regular polygon such that the measure of each exterior angle is 25
Thank you so much!
Answers & Comments
Verified answer
1) True - A regular polygon has all equal sides and angles. If all the sides are equal, then so must the angles.
2) Partially True - A regular polygon is equiangular, but it is also equilateral.
3) True - True, all of the sides and angles are congruent.
4) True - A square has 4 equal sides, and four equal angles, all of which are 90 degrees.
5) True - You will learn a lot about this in trig and geometry. The interior angles of a triangle add up to 180 degrees.
6) True - Yes, there can be a regular polygon for any measure of interior angles.