Question

Which algebraic representation of transformation on a grid does NOT preserve congruence

Answer 1

Answer: C.

Explanation:

Answer 2

If the transformation preserve the congruents, so the distance between two points remains equal after the transformation, this is:

`\begin{gathered} (x,y)\to(x^(\prime),y^(\prime)),\text{ preserve the congruents so:} \\ \text{If we have P}_1=(x_(1,)y_1)andP_2=(x_2,y_2)\text{ } \\ \text{And P'}_1^{}=(x^(\prime)_1,y^(\prime)_1),P^(\prime)_2=(x^(\prime)_2,y^(\prime)_2)\text{ are the points after the transformation, so:} \\ \sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt[]{(x^(\prime)_2-x^(\prime)_1)^2+(y^(\prime)_2-y^(\prime)_1)^2} \end{gathered}`

Let