Question

A point P(2, -4) is reflected in the line x = 0 to get image Q. Point Q is reflected in the line y = 0 to get the image R. Find the area of figure PQR.

• A. 12 sq units.
• B. 18 sq units.
• C. 24 sq units.
• D. 16 sq units.

Answer 1

The correct option is D

16 sq units.

Image of P(2, -4) in the line x = 0 is Q(-2,-4)

Image of Q(-2, -4) in the line y = 0 is R(-2,4)

Figure PQR is a right angled triangle, area of a triangle = $\frac{1}{2}$ x base x height

Area of PQR $=\frac{1}{2}\times PQ\times QR$

$=\frac{1}{2}\times 4\times 8$

$=16squnits$