Question

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

Answer 1

Answer:

(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.

Step-by-step explanation:

The types of translations that result in congruent images are translations or slides; reflections; and rotations.  

Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.

Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.

The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1.  These change the size of the figure, which is why they are not congruent.