Question

Please help i will give brainliest. Triangle ABC is mapped to Triangle A’B’C’ using each of the given rules. Which rules would result in triangle ABC being congruent to or not congruent to triangle A’B’C’?

Answer 1

(x,y) -> (-y, x) This is a symmetry with respect to y=x, followed by a reflection across the y axis. Congruent.

(x,y) -> (x-2, y-1/2) This is a translation, but it follows different rules for each coordinate. Not congruent.

(x,y) -> (2x, 2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.

(x,y) -> (-x, y) This is a reflection across the y axis. Congruent.

(x,y) -> (1/2x, 1/2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.