Question

HELPPPPPPP ASAP!!!!

Triangle UVW is shown below with line AB passing through points A and B:

Triangle UVW is shown with point A lying on side UV and point B lying on side UW. Line AB is perpendicular to side UW.

If triangle UVW is dilated about the center of the triangle to create triangle U'V'W', what can you conclude about segments AB and A'B'?

Answer 1

Answer: AB will be parallel to A'B'.

Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.

We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.

Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.

Thus, the line segments AB and A'B' will be parallel too each other.