Question

The coordinate plane below shows the location of APQR
R(5,5)
P(1,2)
(5.2)
APQR is to be dilated by a factor of 2 with the center of the dilation located at the origin. What is the area of the dilated triangle?
A. 0.8 units
B. 24 units
C. 54 units
D. 108 units

Answer 1

Likely the vertices are P(1,2), Q(5,2), and R(5,5). PQ is horizontal with length 4 and R is 3 units above PQ, so the original triangle area = 1/2·4·3 = 6. A dilation by factor 2 multiplies area by 2^2 = 4, so the dilated area = 6·4 = 24 square units.

Answer: B. 24 units (square units).