NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Fill in the Blanks
Question 20

Question. 20

In Fig. 2.14, points lying in the interior of the triangle PQR are _____, that in the exterior are _____ and that on the triangle itself are _____.

Answer:

Interior: O, S, Exterior: T, N, On triangle: P, Q, R, M

Detailed Answer with Explanation:

Step 1: Look at triangle PQR. The triangle has a boundary (its three sides) and three corner points (vertices): P, Q, R.

Step 2: Meanings.

Interior = completely inside the boundary.
Exterior = completely outside the boundary.
On the triangle = on the sides or exactly at a vertex.

Step 3: Check each point.

O is inside the sides ⟂ no part of it touches the boundary ⇒ Interior.
S is also inside the sides ⇒ Interior.
T is outside the sides ⇒ Exterior.
N is outside the sides ⇒ Exterior.
M lies on side QR ⇒ On the triangle.
P, Q, R are the vertices ⇒ On the triangle.

Result: Interior = O, S. Exterior = T, N. On the triangle = P, Q, R, M.