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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 composition Rx T 24 is performed on BC What are the coordinates of B and C AB1 9 C3 6 BB1 1 C3 2 CB1 9 C3 6 DB9 3 C5 1 class=

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Answer:

The coordinates of B" and C" are:

B" (-1,-9)

C" (3,-6)

Option: A

Step-by-step explanation:

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)

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