Question

Which statement accurately describes the dilation of a triangle by a scale factor of n=1?

A) It is a reduction because n > 1.

B) It is a reduction because 0 < n < 1.

C) It is an enlargement because n > 1.

D) It is an enlargement because 0 < n < 1.

Answer 1

The correct statement is option A - It is a reduction because n > 1.

Step-by-step explanation:

The correct statement that accurately describes the dilation of a triangle by a scale factor of n=1 is option A) It is a reduction because n > 1.

In a dilation, a triangle is expanded or contracted proportionally based on the scale factor. When the scale factor is greater than 1, like in this case where n=1, the triangle is reduced in size compared to the original triangle. Therefore, option A) is the correct statement.

For example, consider a triangle with side lengths of 6, 8, and 10. When it is dilated by a scale factor of 1, the new triangle will have side lengths of 6 * 1, 8 * 1, and 10 * 1 which are still 6, 8, and 10.