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11) choose the correct answer. a(n)____polygon is a polygon that is equ…

Question

  1. choose the correct answer.

a(n)____polygon is a polygon that is equiangular but not equilateral, or equilateral but not equiangular, or neither equiangular nor equilateral.
regular
convex
concave
irregular

  1. choose the correct answer.

a(n)____polygon is a polygon in which any of its diagonals contain points in the exterior of the polygon.
regular
convex
irregular
concave

Explanation:

Brief Explanations
  • For question 11:
  • A regular polygon is both equiangular and equilateral.
  • A convex polygon is defined by having all interior angles less than \(180^{\circ}\) and no diagonals outside the polygon (not related to the equiangular - equilateral condition here).
  • A concave polygon is about the position of diagonals (not directly about equiangular - equilateral).
  • An irregular polygon is one that is either equiangular but not equilateral, or equilateral but not equiangular, or neither.
  • For question 12:
  • A regular polygon has all sides and angles equal (not about diagonal - exterior point relation).
  • A convex polygon has all diagonals inside the polygon.
  • An irregular polygon is about side - angle equality (not diagonal - exterior point relation).
  • A concave polygon is defined as a polygon in which any of its diagonals contain points in the exterior of the polygon.

Answer:

  1. irregular
  2. concave