Question

question 5 (multiple choice worth 1 points) (g3.01r mc) triangle efg is dilated by a scale factor of 3 centered at (0, 1) to create triangle efg. which statement is true about the dilation? eh and eh both pass through the center of dilation the slope of ef is the same as the slope of eh eg will overlap eg eh = eh

Explanation:

Step1: Recall dilation properties

In a dilation, the lines connecting corresponding points pass through the center of dilation. $\overline{EH}$ and $\overline{E'H'}$ are lines connecting a point on the pre - image and its corresponding point on the image. So they pass through the center of dilation $(0,1)$.

Step2: Analyze other options

The slope of $\overline{EF}$ and $\overline{E'H'}$ are not the same as $\overline{E'H'}$ is related to the dilation of points and not a corresponding side - like relationship for slope comparison. $\overline{E'G'}$ will not overlap $\overline{EG}$ as there is a scale factor of 3. And $\overline{EH}
eq\overline{E'H'}$ since there is a non - 1 scale factor dilation.

Answer:

$\overline{EH}$ and $\overline{E'H'}$ both pass through the center of dilation.