Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

triangle abc is similar to triangle abc. which sequence of similar tran…

Question

triangle abc is similar to triangle abc. which sequence of similar transformations could map △abc onto △abc? ○ dilation and reflection ○ dilation and translation ○ translation and rotation ○ translation and reflection

Explanation:

Step1: Analyze size difference

$\triangle A'B'C'$ is larger than $\triangle ABC$, so a dilation (scaling) is needed to change the size.

Step2: Analyze position/transformation

After dilation, a translation (moving) can align the triangles, as reflection or rotation don't match the orientation and position change shown. Rotation and reflection without dilation wouldn't change size, and translation/reflection without dilation also don't address size. So dilation (to enlarge) and translation (to move) are the transformations.

Answer:

dilation and translation (the option: dilation and translation)