Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. in which of the following has figure 1 been enlarged to form figure …

Question

  1. in which of the following has figure 1 been enlarged to form figure 2?

Explanation:

Step1: Check similarity and enlargement

For two figures to be an enlargement - reduction relationship, they must be similar (same shape, corresponding angles equal).
In option A, the angles of the two triangles do not seem to be equal, so they are not similar and not an enlargement - reduction pair.
In option B, the first hexagon and the second hexagon do not have the same shape (the second one is elongated), so they are not similar and not an enlargement - reduction pair.
In option C, the two triangles do not have the same shape (angles are different), so they are not similar and not an enlargement - reduction pair.
In option D, the two pentagons have the same shape (corresponding angles are equal), and Figure 2 is larger than Figure 1, which means Figure 1 has been enlarged to form Figure 2.

Answer:

D.