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WILL GIVE BRAINLIST

Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A″B″C″ after the transformations?

A. ∠C and ∠C″ are congruent after both the translation and the dilation.
B.∠C and ∠C″ are congruent after the dilation, but not after the translation.
C. segment AC and segment A double prime C double prime are congruent after both the translation and the dilation.
D. segment AC and segment A double prime C double prime are congruent after the dilation, but not after the translation.

Respuesta :

Answer:

the answer is A

Step-by-step explanation:

mhanifa

Answer:

  • A. ∠C and ∠C″ are congruent after both the translation and the dilation.

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Some properties to consider:

  • Translation doesn't change site length or angle measures,
  • Dilation doesn't change angle measures but changes side length.

Our triangle was translated and then dilated by a scale factor of 2.

Answer options

A. ∠C and ∠C″ are congruent after both the translation and the dilation.

  • Yes, angle measures are not affected.

B. ∠C and ∠C″ are congruent after the dilation, but not after the translation.

  • No, angle measures are not affected.

C. segment AC and segment A double prime C double prime are congruent after both the translation and the dilation.

  • No, the AC ≠ A''C''

D. segment AC and segment A double prime C double prime are congruent after the dilation, but not after the translation.

  • No, dilation has changed the length, A''C'' = 2AC

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