Question

Quadrilateral ABCD is reflected over line y as shown, resulting in quadrilateral TURS. If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU? 4 in. 5 in. 7 in. 9 in.

Answer 1

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.

Answer 2

The answer is 7 in. Just took the test and got it right. Hope this was helpful!