NCERT Class 7 Maths Chapter 6 Triangle and its Properties Exercise 6.1

Chapter 6 Triangle and its Properties Exercise 6.1

Question 1: In Δ PQR, D is the mid-point of QR.

(i) PM is ____.
Answer: PM is an altitude because it has one end point at a vertex of the triangle and other on the line containing the opposite side.

(ii) PD is ____.
Answer: PD is a median because a median connects a vertex of a triangle to the mid-point of the opposite side.

(iii) Is QM = MR?
Answer: No, QM ≠ MR because M is not the median (which divides the base line segment into equal 2 halves). So QM ≠ MR.

Question 2: Draw rough sketches for the following:
(a) In ΔABC, BE is a median.
Answer:
 

(b) In ΔPQR, PQ and PR are altitudes of the triangle.
Answer:

(c) In ΔXYZ, YL is an altitude in the exterior of the triangle.
Answer:

Question 3: Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
Answer: