Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment H'G' to segment HG?

Placing the quadrilateral E (1,1) F=(0,0) G=(1,-1) H=(2,0) whose center is at (1,0) and dilating it at a scale factor of 2 creates a E'=(2,2) F'=(0,0) G'=(2,-2) H'=(4,0).

The scale factor keeps it constant when we divide a segment of the first quadrilateral over the second.

Comparing the segments:

[tex]\overline{HG}=\sqrt{2}\:\: \\ \overline{H'G'}=2\sqrt{2}\\\frac{\overline{H'G'}}{\overline{HG}}=\frac{2\sqrt{2}}{\sqrt{2}}=2[/tex]

Answer Link

centonzedrae centonzedrae · Answer 2 · 2019-12-11T03:59:28+01:00

Answer:

These should be the choices with this question

A. A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

B. A segment in the image has the same length as its corresponding segment in the pre-image.

C. A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.

D. A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.

The answer is A.

A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.

Step-by-step explanation: