NCERT Solutions For Class 10 Maths Chapter 6 Triangles Ex 6.2

Ex 6.2 Class 10 Maths Question 1.

In the given figure (i) and (ii), DE || BC. Find EC in (i) and AD in (ii). Ex 6.2 Class 10 Maths Question 2.

E and F are points on the sides PQ and PR respectively of a ∆PQR. For each of the following cases, state whether EF || QR:
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
(iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

Ex 6.2 Class 10 Maths Question 3.

In the given figure, if LM || CB and LN || CD.
Prove that  Ex 6.2 Class 10 Maths Question 4.

In the given figure, DE || AC and DF || AE. Ex 6.2 Class 10 Maths Question 5.

In the given figure, DE || OQ and DF || OR. Show that EF || QR. Ex 6.2 Class 10 Maths Question 6.

In the given figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR. Ex 6.2 Class 10 Maths Question 7.

Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)

Ex 6.2 Class 10 Maths Question 8.

Using converse of B.P.T., prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side.  (Recall that your have done it in class IX)

Ex 6.2 Class 10 Maths Question 9.

ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that Solution for Ex 6.2 Class 10 Maths Question 9

The diagonals of a quadrilateral ABCD intersect each other at the point O such that Show that ABCD is a trapezium.