After which of these transformations would a square with the vertices (1, 1), (1, 5), (5, 1), and (5, 5) be congruent to the transformed figure? Select all that apply.
A
a rotation of the square of 270° about the origin
B
a reflection of the square across the line y=−x
C
a translation of the square 10 units down

A, B, and C

Step-by-step explanation:

All of the following transformations are rigid transformations. Rigid transformations do not change the shape or size of a figure. They only change its position on a coordinate plane. Knowing this, the transformed figures from all of the options would be congruent to the original square.

Hope this helped!

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32