△ABC is mapped to △A′B′C′ using each of the given rules.

Question

Which rules would result in △ABC being congruent to or not congruent to △A′B′C′ ?

Drag and drop each rule into the boxes to classify it as Congruent or Not Congruent.

(x,y) → (5x, 5y)
(x,y) →(x, - y)
(x, y) → (x + 5, y)
(x, y) → ( 0.5x, 0.5y)
(x, y) → (-x, -y)

Answer 1

translations, rotations and reflections do not change size
the x and y scales must both 1 or -1

If x and y are scaled equally (but not 1) then the triangles will be similar but not congruent.