Question

Line segment RS has endpoints R (-2, 4) and S (-4, -1).

Line segment R"S" has endpoints R" (3, -3) and S" (5,2).
Name the transformation that maps line segment RS to line segment R"S".
O rotation of 90° counterclockwise about the origin, followed by a translation (x, y) = (x + 2 y + 1).
reflection over the line y = x, followed by a translation (x, y) + (x + 1, y + 1).
O rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).
o translation (x,y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin.

Answer 1

Rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).

Explanation:

Because you need to negate the X and Y axis to get your answer.

Answer 2

rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).

Explanation:

Remember that a rotation of 180º about the origin will result in the change of both X's and Y's signs to the opposite so if the sign of one of them is negative, it will be positive, and viceversa.

Since point R is (-2,4) the first transformation would change the signs and make it (2,-4) the next one would be transform it by adding 1 to both of them:

(x,y)---(x+1,y+1)

(x,y)---(2+3,-4+1)

(x,y)---(3,-3)

So that would be the correct answer.