The composition rx t -2.4 is performed on bc. what are the coordinates of b'' and c''?

a. b''(–1, –9), c''(3, –6)
b. b''(–1, –1), c''(3, 2)
c. b''(1, 9), c''(–3, 6)
d. b''(9, –3), c''(5, –1)

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)

3

step-by-step explanation: