Question

The image of point (2,6) under a reflection in point T is (-16,-6). What is the image of point (18,-8) under the same DS translation? (Without graph)(-a+2x,-b+2y)

Answer 1

The point (2,6) is translated using the formula: (-a+2x,-b+2y). Then the final point is (-16,-6)

It means that:

if x = 2,

-a + 2x = -16

Solving for a, we get:

-a + 2(2) = -16

-a = -16 - 4

-a = -20

a = 20

At the same way, if y=6,

-b + 2y = -6

Solving for b, we get:

-b + 2(6) = -6

-b = -6 - 12

b = 18

So, the formula is (-20 + 2x, -18 + 2y)

Then, the point (18, -8) under the same translation is:

( -20 + 2(18) , -18 + 2(-8) )

( -20 + 36 , -18 - 16)

(16, -34)