Polygon ABCD has sides with these lengths: , 5 units; , 4 units; , 4.5 units; and , 7 units. The slope of is 5, the slope of is 0.25, the slope of is -2, and the slope of is 0. The polygon is dilated from point A by a scale factor of 1.2 to form polygon A′B′C′D′. Match the slopes and lengths of the sides of polygon A′B′C′D′ to their values.
slope of
8.4
length of
5.4
length of
5
slope of
0.25

Question

Polygon ABCD has sides with these lengths: , 5 units; , 4 units; , 4.5 units; and , 7 units. The slope of  is 5, the slope of  is 0.25, the slope of  is -2, and the slope of  is 0. The polygon is dilated from point A by a scale factor of 1.2 to form polygon A′B′C′D′. Match the slopes and lengths of the sides of polygon A′B′C′D′ to their values.
slope of 
8.4
length of 
5.4
length of 
5
slope of 
0.25

XxXNessalulbaddieXxX · Answer

@smokeybrown

SmokeyBrown · Answer

Hi, and welcome to QuestionCove!

This question isn't complete; for instance, the labels for the sides seem to have gone missing in your copy-paste. But that is ok, we can still work to solve the answers.

You are told that the original shape ABCD is dilated with a "scale factor of 1.2". This would mean that the slopes of all the sides would also be multiplied by 1.2.
So, to find the lengths of the new sides, A', B', C', and D', simply take the lengths of the original sides they are based on, and multiply those by 1.2.
The slopes, on the other hand, should not have changed, assuming the shaped was only dilated. If the shape were rotated or something like that, it would be a different matter, but scaling the size up and down should not affect the slopes; these would be the same.