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Please help! 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.

Answer :

profantoniofonte

Answer:

A

Step-by-step explanation:

1) Translated figures are congruent ones, so [tex]\bigtriangleup ABC\cong \bigtriangleup A'B'C'[/tex], one unit to the right and one up in comparison to [tex]\bigtriangleup ABC\cong \bigtriangleup ABC[/tex].

2)Since [tex]\bigtriangleup A''B''C''[/tex]  was dilated with a scale factor of two then It's a similar figure to  [tex]\bigtriangleup ABC[/tex]. Similar figures have congruent angles and different sizes.

Hence, ∠C≅∠C"

${teks-lihat-gambar} profantoniofonte
${teks-lihat-gambar} profantoniofonte
alicianquigley

Answer:

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

Step-by-step explanation:

i just took the test :)

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