Question

the coordinates of a triangles vertices are (2,2), (2,5) and (6,1). what are the new coordinates (x,y) (x+3, y-5)

Answer 1

the old coordinates are,

A(2, 2)

B(2, 5)

C(6, 1)

the new coordinate is given by equation (x, y) = (x+3, y-5)

for A(x , y) = (x+3, y-5)

put x= 2 and y = 2

(2+3, 2-5) = (5, -3)

the new coordinate of A is A(5, -3)

do the same for other,

B(x , y) = (x+3, y-5)

put x =2 and y = 5

(2+3, 5-5) = (5, 0)

the new coordinate of B is B(5, 0)

C(x , y) = (x+3, y-5)

put x =6 and y = 1

(6+3, 1-5) = (9, -4)

the new coordinate of C is C(9, -4).

so the new coordinates are (5, -3), (5, 0) and (9, -4).