RBSE Solutions Class 8 Maths Chapter 6 Polygons More Ques

Question 1. See the diagonals in figure and name them.
Answer:
(i) Diagonals formed in the first figure are AD, AE, BC, BE, CD.
(ii) Diagonals formed in the second figure are AC, BD. These lines connect non-adjacent vertices within the polygon.
In simple words: Look at the pictures of the shapes. Find all the lines that connect two corners that are not next to each other and write down their names.

🎯 Exam Tip: Remember that a diagonal connects two non-adjacent vertices. Carefully trace each possible diagonal to ensure none are missed.

Question 2. Following are the figures of Polygon in two groups. Name the vertices of each Polygon of two groups as A, B, C, D, E... etc. In each polygon draw diagonal from each vertex.
(i) Are all the diagonals of groups A in the interior of Polygon?
(ii) Are all the diagonals of groups B in the interior of Polygon?
(iii) Are the diagonals of any groups also in the exterior of Polygon?
Answer:
(i) Yes, all the diagonals of polygons in Group A are inside the shape. These are called convex polygons.
(ii) No, not all the diagonals of polygons in Group B are inside the shape. Some diagonals lie outside the polygon, which means they are concave polygons.
(iii) Yes, the diagonals of polygons in Group B can be found outside the polygon. This happens in polygons that have an inward curve.
In simple words: For the shapes in Group A, all the diagonal lines are drawn inside. For Group B, some diagonal lines go outside the shape. Polygons with diagonals outside are shaped differently, like they have a dent.

🎯 Exam Tip: Convex polygons have all their diagonals inside, while concave polygons have at least one diagonal outside. This is a key way to tell them apart.