Question

A triangle with the vertices p(3,0)Q(5,1) and r(4,4) is enlarged. If the center of enlargement is (1,0).find the coordinates of the image of the triangle.   (A)-2 (B)¹/₂

Answer 1

 A ) if the scale factor is -2

Let  p'(x y)

P(3, 0)

(x - 1)/(3 - 1) = -2

x - 1 = -4

x = -3

(y - 0)/(0- 0) = -2

y - 0 = 0

y = 0

Hence, p'(-3, 0)

Q'(x, y)

Q(5,1)

(x - 1)/(5 - 1) = -2

x - 1 = -8

x = -7

(y - 0)/(1 - 0) = -2

y - 0 = -2

y = -2

Q'(-8, -2)

R'(x, y)

R(4, 4)

(x - 1)/(4 - 1) = -2

x - 1 = -6

x = -5

(y - 0)/(4 - 0) = -2

y - 0 = -8
y = -8

R'(-5, -8)

U can follow the same procedure and work out (B)