Question

polygon abcdefgh will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon abcdefgh. what will the length of ah be? a. 1.7 units b. 2 units c. 3.4 units d. 6.8 units

Explanation:

Step1: <Find the original length>

Assume the original length of \( AH \) is \( 2 \) units (by counting the grid - like distance on the coordinate plane).

Step2: <Apply the dilation formula>

The formula for dilation is \( L'=k\times L \), where \( k = 3.4 \) (scale factor) and \( L\) is the original length. Substitute \( L = 2 \) into the formula: \( L'=3.4\times2\).

Step3: <Calculate the result>

\(3.4\times2 = 6.8\).

Answer:

D. 6.8 units