Question

Triangle CAT is transformed to produce triangle DOG.

Answer 1

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

• A reflection, then a translation.
• A rotation, then a reflection.

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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:

• A reflection, then a translation.
• A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298