Question

The transformation shown below maps Trapezoid TANS onto Trapezoid TA'N'S! Tell if the pre-image andimage are congruent based on the given information and justify.ation

Answer 1

Given the coordinates of the trapezoid TANS as

`T(-5,-2),A(-5,1),N(-2,3),S(1,2)`

The coordinates of the image T'A'N'S' is

`T^(\prime)(-2,5),A^(\prime)(1,5),N^(\prime)(3,2),S^(\prime)(2,-1)`

From the coordinates of the image given above, it is observed that the transformation rule is

`(x,y)\Rightarrow(y,-x)`

The transformation rule stated above is that of 90 degrees clockwise rotation, and rotation of figures produce congruent figures

Hence, the answer to the question is;

Yes, they are congruent because the image is a rotation of the pre-image and rotation produce congruent figures