Question

Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a biology classroom. If the vertices of a history classroom are located at (x1, -3y1) , (x2, -3y2) , (x3, -3y3) , and (x4, -3y4) , will the history classroom be congruent to the biology classroom ?

Answer 1

No, because the transformation applied was not a rigid motion.

Explanation:

The y values are decreased by a scale factor of -3, which makes the classroom a different size than the biology classrom.

Answer 2

According to the given information, the class must be congruent and symmetric towards the hallway. To do that, we need to use the same transformation on each vertex in order to have symmetry.

Therefore, the right answer would be Yes, because the same transformation was applied to all the vertices.