Question

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the shadow represented by △abc changes to form △abc. what happens to the shadow? choose all that apply. it changes position. it changes size. its vertices move along the rays. it changes shape.

Explanation:

Step1: Analyze position change

By observing the graph, we can see that the triangle moves from one area to another, so it changes position.

Step2: Analyze size change

The lengths of the sides of \(\triangle A'B'C'\) are longer than those of \(\triangle ABC\), so it changes size.

Step3: Analyze vertex movement

From the dotted - line rays in the graph, we can see that the vertices of \(\triangle ABC\) move along the rays to get the vertices of \(\triangle A'B'C'\).

Step4: Analyze shape change

Since \(\triangle ABC\) and \(\triangle A'B'C'\) are both triangles (similarity in shape, just different in size), it does not change shape.

Answer:

It changes position, It changes size, Its vertices move along the rays.