See explanation. Explanation: An equiangular polygon is a polygon in which all angles are equal. If we look at quadrilaterals , then we can say, that: A rectangle not being a square is equiangular 4 right angles A rhombus not being a square is equilateral 4 equal sides, unequal angles A square is both equilateral and equiangular i.
Related questions How do you classify the triangle given 2 cm, 2 cm, 2 cm? The angles of a triangle have the ratio What is the measure of the smallest angle? Is an equilateral triangle is sometimes, never or always an isosceles triangle? What is an isosceles triangle? How do I prove that these are the vertices of an isosceles triangle: -3,0 , 0,4 , 3,0? Is it possible to have an isosceles scalene triangle? How would you show that a triangle with vertices 13,-2 , 9,-8 , 5,-2 is isosceles?
An isosceles right triangle has legs that are each 4cm. What is the length of the hypotenuse? Below in Part A are some convex polygons, and in Part B, some concave polygons.
In the rest of this text, you can assume that every polygon discussed is convex. Polygons can also be classified as equilateral, equiangular, or both. Equilateral polygons have congruent sides, like a rhombus. Equiangular polygons have congruent interior angles, like a rectangle. When a polygon is both equilateral and equiangular, it is called a regular polygon. A square is an example of a regular polygon. The center of a regular polygon is the point from which all the vertices of the polygon are equidistant.
Regular polygons have special properties that we'll explore in the next section. Below are some examples of equiangular, equilateral, and regular polygons. One more note on polygons: Polygons whose sides are all congruent are congruent polygons.
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