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Answer:
Terms Related to Polygons
We will learn about the different terms related to polygons. We know, a polygon is a simple closed figure, bounded by straight line segment.
Sides of the polygon: The line segments forming a polygon are called its sides. The sides of the given polygons are AB, BC, CD, DE and EA.
Terms Related to Polygons
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Observe the sides AB and BC.
AB has an end point B and BC has an end point B, i.e., AB and BC have a common end point B. We call AB and BC adjacent sides of the polygon.
Thus, any two sides of a polygon having a common end point are called adjacent sides.
The other pairs of adjacent sides of the polygon are BC and CD; CD and DE; DE and EA and EA and AB.
Vertices of the polygon: The point of intersection of two adjacent sides of a polygon is called its vertex (plural = vertices).
In the figure, sides EA and AB meet at A, hence A is a vertex of the polygon.
Similarly, B, C, D and E are other vertices of the polygon.
Observe the vertices A and B.
We see that they are the end points of side AB. These are called adjacent vertices.
Thus, the end points of the same side of a polygon are called adjacent vertices.
The other pair of adjacent vertices of the polygon are B and C; C and D; D and E; and E and A.
Diagonals of the polygon: Take any two vertices of the polygon which are not adjacent and join them. The line segment thus obtained is called the diagonal of the polygon.
Diagonal & Vertex of the Polygon
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Thus, if two vertices of a polygon which are not adjacent, the line segment so formed is called a diagonal of a polygon.
The diagonals of the polygon are AC, AD, BE, BD, and CE.
Step-by-step explanation:
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Link:https://www.math-only-math.com/terms-related-to-polygons.html