Aabc is mapped to a abc using each of the given rules.
which rules would result in a abc being congruent to or not congruent to a a'b'c' ?
drag and drop each rule into the boxes to classify it as congruent or not congruent.

This is basically asking if each transformation is an isometry, which maps a triangle to a congruent triangle.

(x,y)⇒(-y,x)  That's an isometry, not scaling x or y.  I think it's a 90 degree rotation.  CONGRUENT

(x,y)⇒(x-2,y-1/2)  No scaling, pure translation. CONGRUENT

(x,y)⇒(2x,2y)  That's a double scaling so NOT CONGRUENT

(x,y)⇒(-x,y)  That's a reflection.  CONGRUENT

(x,y)⇒(1/2 x, 1/2 y) Scaling again, NOT CONGRUENT