Question

determine the congruence transformation used on triangle abc that resulted in triangle def. (1 point) o triangle abc was shifted 2 units to the right and 2 units up, then rotated 180 degrees. o triangle abc was reflected across the y - axis, then shifted 2 units to the right and 2 units up. o triangle abc was shifted 2 units to the left and 2 units up, then reflected across the y - axis. o triangle abc was rotated 180 degrees, then shifted 2 units to the right and 2 units up.

Explanation:

Step1: Analyze reflection

The x - coordinates of corresponding points of $\triangle ABC$ and $\triangle DEF$ have opposite signs. For example, point $A(- 2,3)$ and point $E(2,3)$. This indicates a reflection across the y - axis.

Step2: Analyze translation

After reflection, we can see that each point of the reflected triangle is shifted 2 units to the right and 2 units up. For example, after reflecting $A(-2,3)$ across the y - axis we get $(2,3)$ and then shifting 2 units right and 2 units up gives the coordinates of $E(4,5)$.

Answer:

Triangle ABC was reflected across the y - axis, then shifted 2 units to the right and 2 units up.