ΔABC and ΔDEF are two triangles in which AB = DF, ∠ACB = 70°, ∠ABC = 60°, ∠DEF = 70° and ∠EDF = 60°. Prove that the triangles are congruent.

ABCD is a parallelogram Fig such that ∠BAD = 120^o and AC bisects ∠BAD show that ABCD is a rhombus.

In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.

Show that the bisectors of angles of a parallelogram form a rectangle.

Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
(i) it bisects ㄥC also
(ii) ABCD is a rhombus.

Find the angle of the given cyclic quadrilateral ABCD in the figure.

Draw an equilateral triangle of side 8 cm and locate its incentre. Also draw the incircle.

Construct  \(\triangle\)ABC in which AB = BC = 8cm and \(\angle \)B =70^o. Locate its in centre and draw the incircle
 

Construct the centroid of \(\triangle\)PQR such that PQ = 9 cm, PQ = 7cm, RP = 8 cm.

Draw and locate the centroid of the triangle ABC where right angle at A, AB = 8 cm and AC = 6 cm.