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Which statements are true about the regular polygon? Check all that apply:
The sum of the measures of the interior angles is 900.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5^2).
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01:34

Which statement is NOT true about a regular 16 -gon?F. It is a convex polygon.G. It has 16 congruent sides.H. The sum of the interior angle measures is $2880^{\circ} .$J. The sum of the exterior angles, one at each vertex, is $360^{\circ} .$

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Tell whether each of the following statements is true or false.If a polygon is regular, it must be convex.

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Tell whether each statement is true Always, Sometimes, or Never $(A, S, \text { or } N)$a As the number of sides of a polygon increases, the number of exterior angles increases.b As the number of sides of a polygon increases, the sum of the measures of the exterior angles increases.c The sum of the lengths of the diagonals of a polygon is greater than the perimeter of the polygon.d The sum of the measures of the angles of a polygon formed by joining consecutive midpoints of a polygon’s sides is equal to the sum of the measures of the angles of the original polygon.

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Tell whether each of the following statements is true or false.If a polygon is regular, it must be cyclic.

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In Exercises $20-23,$ identify each statement as true or false. If true, explain why. If false, give a counterexample.If the measure of each exterior angle of a regular polygon is $24^{\circ},$ then the polygon has 15 sides.

Transcript

Hello. I have a question he says that which statements are true about the regular polygon. Check. I have to check all that apply. Okay, so regular polygon, that is this is our pentagon. A regular pentagon. Okay, some of the measure of interior angle is 900°. So if it is 900° or whatever it is, I have to first Draw the triangles, we can see that there are only three triangles. So some of interior angles…

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You are watching: SOLVED: Which statements are true about the regular polygon? Check all that apply: The sum of the measures of the interior angles is 900. Each interior angle measures 108°. All of the angles are cong. Info created by GBee English Center selection and synthesis along with other related topics.