Question

P, Q, R are the midpoints of the sides of the triangle ABC.

(a) What type of the quadrilateral is PQCR?

(b) Write the Co-ordinates of the vertices A and C.

Answer 1

We know that joining the mid-points of two sides of triangle then it is parallel to third side

(a) Q & R are mid points of sides BC and AC respectively

∴ QR || AB

Similarly PQ || AC

∴ PQCR is a parallelogram.

(b) Let the vertex of A, B and C be (x1, y1), (x2, y2) and (x3, y3) respectively

R is the mid point of side AC