Question

Find the cordinates of the vertices of each figure after the givin transformation

Answer 1

C'(-1.5, 3)

D'( 0, 4.5)

E'( 1.5, 3)

Step-by-step explanation:

First, we need to identify the coordinates of the initial figure. So, the coordinates are:

C(-1, 2)

D(0, 3)

E(1, 2)

Then, we can multiply the scale factor 1.5 by every coordinates as:

(x, y) ------> 1.5(x, y) = (1.5*x, 1.5*y)

C(-1, 2) ------> 1.5( -1, 2) = (1.5*(-1), 1.5*2) = C'( -1.5 , 3)

D( 0, 3) -----> 1.5( 0, 3) = (1.5*0 , 1.5*3 ) = D'( 0 , 4.5)

E( 1, 2) ------> 1.5 ( 1, 2) = (1.5*1 , 1.5*2) = E'( 1.5, 3)

Therefore, the vertices of each figure after the giving transformation are:

C'(-1.5, 3)

D'( 0, 4.5)

E'( 1.5, 3)