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'BCDEFGH. What will the length of A'H' be?

A. 1.7 units
B. 2 units
C. 3.4 units
D 6.8 units

Answer 1

The length of segment A'H' after the dilation of polygon ABCDEFGH by a scale factor of 3.4 with the origin as the center of dilation would be 6.8 units.

Step-by-step explanation:

If polygon ABCDEFGH is 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', we must consider the effect of this dilation on all segments originating from the center of dilation. In particular, to find the new length of A'H', we multiply the original length of AH by the scale factor of 3.4.

Assuming the original length of AH is 2 units (as no specific length was provided), the calculation would be:

Original length of AH × scale factor = New length of A'H'

2 units × 3.4 = 6.8 units

Therefore, the length of A'H' after the dilation would be 6.8 units.