Question

The endpoints of segment CD are C(1, 2) and D(5, 4). Graph the image of segment CD after the composition of transformations. C(1, 2) and D(5, 4) Translation: (x, y) + (x, y+ 2) Reflection: over the line y = x

Answer 1

Two segment points, transformation

C (1,2).

D (5,4)

FOR POINT C

Translate C , (x, y) + (x, y+ 2) = (1,2) + (1, 2+2) = (1+1, 2+2+2) = (2,6)

Reflection over y= x

change (x ,y ) in (y,x)

(x,y) = ( 6, 2)

FOR POINT D

Translate D ,(x,y) + (x , y+2) = (5,4) + (5, 4+2) = (5+5, 4+4+2) = (10, 10)

Reflection over y=x

(x,y) = (10,10). (Its same point)

DRAWING

New segment C'D' is drawed in green