NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Problems and SolutionsQuestion 45
Class 6 - Mathematics - Unit 2: Geometry - Problems and Solutions
Question. 45
Name the vertices and the line segments in Fig. 2.27.
Answer:
Vertices: A, B, C, D, E.
Line segments: AB, BC, CD, DE, EA (sides), and diagonals AD, CE.
Detailed Answer with Explanation:
Step 1: Understand words.
- Vertex = corner point of the figure.
- Line segment = straight path drawn between two points.
- Side = line segment on the boundary.
- Diagonal = line segment joining two non-neighbour vertices (it goes across the figure).
Step 2: Read the vertices from the picture.
Vertices are the labelled corner points:
\(A\)
\(B\)
\(C\)
\(D\)
\(E\)
Step 3: List the sides (boundary segments).
Go around the shape and write each edge once:
\(\overline{AB}\)
\(\overline{BC}\)
\(\overline{CD}\)
\(\overline{DE}\)
\(\overline{EA}\)
Step 4: Find the diagonals.
Join non-adjacent vertices that are drawn inside the figure:
\(\overline{AD}\)
\(\overline{CE}\)
Step 5: Final check.
Vertices: A, B, C, D, E.
Line segments: AB, BC, CD, DE, EA (sides) and AD, CE (diagonals).