Question

Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true? coordinate plane with triangles ACB and XYZ with A at negative 4 comma 4, C at negative 1 comma 3, B at negative 4 comma 0, X at 0 comma 8, Y at 8, comma 8, and Z at 6 comma 2 segment AC ~ segment XZ segment AC ~ segment YX segment AB ~ segment XZ segment AB ~ segment YX

Answer 1

Answer:

  segment AB ~ segment YX

Step-by-step explanation:

The names of the triangles tell you that vertices B, A, C correspond to vertices X, Y, Z, in that order. Corresponding vertices describe "similar" segments.

  segment AB ~ segment YX . . . . . last choice

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The letters in the first segment's name are the 2nd and 1st, in that order. So are the letters in the second segment's name. Hence these are the ones that are "similar."

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Comment on similarity

Every line segment is similar to every other, so it is nonsense to claim that two line segments are not similar.

Here, we're concerned with the sides of similar triangles. The intention appears to be to identify corresponding line segments in the similar triangles. For that, you need to pay attention to the sequence of letters in the similarity declaration for the triangles.