Question

Polygon abcdefgh will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon a′b′c′d′e′f′g′h′. What will the length of a'h' be?

Option a. 1.7 units
Option b. 2 units
Option c. 3.4 units
Option d. 6.8 units

Answer 1

To find the length of a'h' after a dilation by a scale factor of 3.4, multiply the original length of ah by 3.4. Without the original length of ah, the exact length of a'h' cannot be determined, but it will be exactly 3.4 times the original length.

Step-by-step explanation:

The question involves a dilation of a polygon with a given scale factor. When a figure is dilated by a scale factor from the origin, every length in the original figure is multiplied by that scale factor to get the corresponding length in the dilated figure. Therefore, to find the length of a'h' after dilation with a scale factor of 3.4, you need to multiply the original length of ah by 3.4.

If the original length of ah is not given, we cannot determine the exact length of a'h' from the information provided. However, the length a'h' will be exactly 3.4 times whatever the original length ah was. To illustrate, if ah was 2 units in length, then after dilation by a scale factor of 3.4, the length of a'h' would be 2 units * 3.4 = 6.8 units, which corresponds to option d.