Question

1. choose the correct answer.

a(n)____polygon is a polygon that is both equiangular and equilateral.
○ irregular
○ convex
○ regular
○ concave

1. choose the correct answer.

a(n)____polygon is a polygon in which none of its diagonals contain points in the exterior of the polygon.
○ irregular
○ concave
○ convex
○ regular

Explanation:

• For question 9:
• An irregular polygon does not have all sides and angles equal.
• A convex polygon is defined by the property that none of its diagonals contain points in the exterior (this is for question 10).
• A regular polygon is by definition both equiangular (all angles equal) and equilateral (all sides equal).
• A concave polygon has at least one diagonal that contains points in the exterior.
• For question 10:
• An irregular polygon is just a non - regular polygon (not defined by the diagonal - exterior property).
• A concave polygon has at least one diagonal with points in the exterior.
• A convex polygon is defined as a polygon in which none of its diagonals contain points in the exterior of the polygon.
• A regular polygon is a special case of a convex polygon (but the key definition here is about the diagonal - exterior property which is the general definition of a convex polygon).

Answer:

1. C. regular
2. C. convex