△abc is mapped to △a′b′c′ using each of the given rules. 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. congruent non congruent choices to go to either congruent or non congruent (x,+5,y) (x,,5y) (x,.5x, 0.5y) (x,,-y) (x,,-y)

(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.

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