Question

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

A. The polygons are not similar.
B. ABCD ~ KLMN, 19.8 : 1.4
C. ABCD ~ NKLM, 9 : 3.36
D. ABCD ~ KLMN, 9 : 1.4

Answer 1

The polygons ABCD and KLMN are similar with a scale factor of 9 : 1.4.

Step-by-step explanation:

The correct answer is D. ABCD ~ KLMN, 9 : 1.4

1. To determine if the polygons are similar, we need to compare their corresponding angles and side lengths.
2. Similar polygons have congruent corresponding angles and proportional side lengths.
3. In option D, ABCD ~ KLMN. This means that the angles of the two polygons are congruent, and the ratio of the side lengths is 9 : 1.4.
4. The scale factor can be found by comparing the corresponding side lengths. In this case, the scale factor is 9 : 1.4.