destinybaxter87
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If a right triangle DEF is dilated by a scale factor of 2, which of the following statements is not true? A. The sides of DEF are congruent to the sides of D'E'F'. B. The angles of DEF are congruent to the angles of D'E'F'. C. DEF is similar to D'E'F'. D. D'E'F' is larger than DEF.

Respuesta :

Jacksondrawsky

A. The sides of DEF are congruent to the sides of D'E'F. Apex 2018


lyndalau86

Answer:

a) The sides of DEF are congruent to the sides of D'E'F.

Step-by-step explanation:

If we dilate a right triangle by a scale factor of 2, this means that we are making the sides of the triangle longer but we're not affecting the angles.

Therefore, we would:

  • get another triangle D'E'F which would be larger, with longer sides than DEF (they would be twice the length of the original ones since the scale factor is 2)
  • but they would have the same angles measurements and therefore these two triangles would be similar
  • and therefore the angles would be congruent.

Thus, the statement that is not true is A. The sides of DEF are congruent to the sides of D'E'F.

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