Question

Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?

Image A, B, C, D?
(Tap image above)

Answer 1

Graph would be A.

Explanation:

Given : Graph.

To find : Which shows the image of ΔRST after the rotation (x, y) → (y, –x).

Solution : We have given that graph of triangle RST

Coordinates of R ( -3,1 ) and S(1 ,3) , T(-1, 8).

By Reflection rule : (x ,y) → (y, –x).

Coordinates would be R ( -2,1 ) →R' (1, 2).

S(1 ,3) →S' (3, -1).

T(-1,7) →T' (7, 1).

Therefore , graph would be A.

Answer 2

A

Explanation:

Given the next data points

R (-2, 1)

T (-1, 7)

S (1, 3)

After transformation (x, y) -> (y, -x) these points will be

R (-2, 1) -> R' (1, 2)

T (-1, 7) -> T' (7, 1)

S (1, 3) -> S' (3, -1)

Which correspond to graph A