Question

Given ABC shown below. Map ABC using the transformations given below. In each case, start with ABC , graph the image and state the Coodinates of the image's vertices.a) a reflection in the line x = 2 to produce A' B' C'b) a reflection in the line y= 1 to produce A" B"C"

Answer 1

a) A'(8,7), B' (10, -6) and C' (2,-3)

b) A" (-4,-5) B" (-6,8) C" (2,5)

1) Examining the graph, we can locate the following points of ABC

To reflect across line x=2 let's count to the left the same distance from x=2

Pre-image Reflection in the line x=2

A (-4, 7) (x+8, y) A'(8,7)

B (-6,-6) (x+16, y) B' (10, -6)

C (2,-3) (x,y) C' (2,-3) Remains the same since C is on x=2

b) A reflection about the line y=1 similarly we'll count the distances and then write new points over the line y=1.

So the Image of this is going to be

Pre-image Reflection in the line x=2

A (-4, 7) (x, y-12) A" (-4,-5)

B (-6,-6) (x, y) B" (-6, 8)

C (2,-3) (x,y) C' (2,5)

A" (-4,-5)

B" (-6,8)

C" (2,5)