The coordinates of B" and C" are:
B" (-1,-9)
C" (3,-6)
Option: A
We are asked to apply the composite transformation as:
Rx oT -3,4
i.e. the figure is first translated by using the rule:
(x,y) → (x-3,y+4)
and is then reflected across the x-axis.
This means that the coordinates on reflecting the figure across x-axis is given by using the rule (x,y) → (x,-y)
Hence, the coordinates on translating by the rule T -3,4 is obtained as:
B (2,5) → B' (-1,9)
and C (6,2) → C' (3,6)
Also, reflecting the translated image across x-axis the coordinates are transformed to:
B' (2,-5) → B" (-1,-9)
and C' (6,-2) → C" (3,-6)
Hence, we get:
B (2,5) → B" (-1,-9)
C (6,2) → C" (3,-6)
