## 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.

Answer:

**(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.

Answer:

**Question 2: Draw rough sketches for the following:**

(a) In ΔABC, BE is a median.

Answer:

(a) In ΔABC, BE is a median.

Answer:

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

Answer:

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:**

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