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MrMuchimi
2 years ago
8

Triangle CAT is transformed to produce triangle DOG.

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0

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.

--------------------------

  • Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
  • In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
  • A <u>reflection is also a special case of rotation</u>, 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 <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.

--------------------------

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

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