In the given figure, D is mid-point of AB, DE//BC and DF//AC. Prove that : DE = BF.

State, true or false, for each of the following statements.

(i) If three angles of two triangles are equal, the triangles are congruent.

(ii) If two sides of a right triangle, containing right angle, are equal to corresponding sides of another right triangle, the triangle are congruent.

(iii) If two triangles are congruent, then the corresponding angles are equal.

(iv) If two angles and a side of one triangle are equal to two angles and a side of another triangle, the triangles are congruent.

In the following figure, AB = AC, EC = ED, ∠ABF = 45° and ∠ABC = 70°.

Find the angles represented by letters a, b, c, d, e, f and g.

In the figure, given below, AB is parallel to CD and CA = CE.

If angle ACE = 74° and angle EAB = 15°, find the angles AEB and BCD.