Question

square pqrs and tuvw are shown below. which sequence of transformations of square pqrs shows that square pqrs is congruent to square tuvw? a a translation 2 units up and 2 units to the right, then a reflection over the x - axis. b a translation 2 units up and 2 units to the right, and then a reflection over the y - axis. c a translation 2 units down and 2 units to the left, then a reflection over the x - axis. d a translation 2 units down and 2 units to the left, then a reflection over the y - axis.

Explanation:

Step1: Analyze translation

Translation 2 units down and 2 units left moves each point of square PQRS accordingly.

Step2: Analyze reflection

Reflection over y - axis changes the sign of x - coordinates of points after translation, mapping square PQRS to square TUVW.

Answer:

D. A translation 2 units down and 2 units to the left, then a reflection over the y - axis