Let , and be the vertices of a triangle. (i) Determine the area of . (ii) Every point…

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

P(2,3)

Q(5,7)

and

R(3,10)

be the vertices of a triangle. (i) Determine the area of

\triangle PQR

. (ii) Every point

(x,y)

is transformed to

(-2x,y)

. Write down the coordinates of the images

P',Q',R'

of the given vertices. (iii) Find the area of

\triangle P'Q'R'

. Compare it with the area found in part (i) and state the factor by which the area has changed.