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use the drop - down menus to describe the transformations used to map $…

Question

use the drop - down menus to describe the transformations used to map $\triangle abc$ onto $\triangle abc$.

  1. a dilation centered at the origin with a scale factor of 2
  2. a reflection across the x - axis

the triangles are
calculator
options for the triangles are: congruent, similar, not similar

Explanation:

Step1: Recall Dilation Effect

Dilation with scale factor \(2\) changes side lengths (scales them by \(2\)), so triangles aren't congruent (congruent requires same size/shape).

Step2: Recall Similarity Definition

Similar figures have same shape (corresponding angles equal, sides proportional). Dilation (scale factor) and reflection (preserves shape/angle) preserve similarity. So the triangles are similar.

Answer:

similar