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The triangles are congruent by the SSS congruence theorem.

Triangles B C D and W X Y are shown. Triangle B C D is shifted up and to the right and then rotates about point D to form triangle W X Y.

Which transformation(s) can map TriangleBCD onto TriangleWXY?

rotation only
reflection only
translation, then rotation
translation, then reflection

Respuesta :

Translation then Rotation or Rotation then Translation

We know that,

1. Rotation turns the figure around a point to a certain degree

2. Translation slides the figure in any direction

Now, it is given that the triangles BCD and WXY are congruent by the SSS Theorem.

What is the SSS Theorem?

The corresponding three sides of both triangles are equal.

So, the only possible ways for the triangles to be congruent are

I. If we first translate the figure BCD to the right and then rotate it counter-clockwise. i.e. Translation, then rotation.

II. If we first rotate the figure counter-clockwise and then translate the figure BCD to the right. i.e. Rotation, then translation.

Hence, either Translation then Rotation or Rotation then Translation maps BCD onto WXY.

To learn more about the rotation visit:

https://brainly.com/question/26249005

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