Answer: 7 inches.
Given that there was a quadrilateral ABCD and it was reflected over a line y
Hence preimage = ABCD and image = TURS
When reflected we have new position of A = T
new position of B =U
new position of C = R and
new position of D = S
By transformation properties, for reflection the scale factor is 1 and hence AB will have the same length as TU
Since AB = 7 inches, TU = 7 inches.
Note:
A reflection in the coordinate plane is just like a reflection in a mirror. Any point or shape can be reflected across the x-axis, the y-axis, or any other line, invisible or visible. This line, about which the object is reflected, is called the “line of symmetry.” Here we have line of symmetry as line y.
