Question

the dilation ( d_{o,3}(x,y)\to(3x,3y) ) is performed on the pre - image ( \triangle abc ) to make a similar triangle. which statements are true? check all that apply. ( angle a ) corresponds to ( angle a ). ( angle aac ) corresponds to ( angle b ). ( overline{cb} ) corresponds to ( overline{ca} ). segment ( aa ) is parallel to segment ( cc ). ( \triangle abcsim\triangle aac ).

Explanation:

• For similar triangles, corresponding angles are equal. Since \(\triangle ABC\) and \(\triangle A'BC'\) are similar (due to dilation), \(\angle A\) corresponds to \(\angle A'\).
• Dilation is a transformation that preserves parallelism. The lines \(A'A\) and \(C'C\) are related by the dilation centered at \(O\), so \(A'A\parallel C'C\).

Answer:

\(\angle A\) corresponds to \(\angle A'\) and Segment \(A'A\) is parallel to segment \(C'C\)