Triangle CAT is transformed to produce triangle DOG.
Select all of the transformations that would guarantee triangles CAT and DOG are
congruent.
A reflection, then a translation.
A rotation, then a reflection.
A rotation, then a dilation.
A translation, then a dilation
A dilation, then a translation.

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joaobezerra joaobezerra · Answer 1 · 2021-09-22T13:05:19+02:00

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

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Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

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Thus, from the bullet points above, the correct options are:

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