Question

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?

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

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

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

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

Answer 1

heres the picture

Answer 2

@Gdeinward

Answer 3

Do you have any ideas or guesses?

Answer 4

no, not really lol

Answer 5

An important idea to note in dilations is, size changes. Can you recognise any choices that show that size doesnt change?

Answer 6

im just confused by the segment part

Answer 7

the second choice?

Answer 8

Yes, that means the second choice is incorect

Answer 9

because the total size of the shape, including the segment, changes in dialations

Answer 10

is it the first choice?

Answer 11

That is correct. What brought you to this conclusion?

Answer 12

because the fourth choice is wrong cuz their not parallel and the third choice is not correct because the segment does pass through the center of dilation in the image and pre image

Answer 13

sorry if it isnt explained properly

Answer 14

that is correct. A great job indeed!

Answer 15

thank you for helping me understand it

Answer 16

Your welcome it is my pleasure