Question

Question:Use the image to answer the question.The image displays two triangles, $\triangle ABC$ and $\triangle A''B''C''$, graphed on a coordinate plane.The original vertices are $A(-5, 4)$, $B(-2, 2)$, and $C(-1, 5)$.The final vertices are $A''(7, 1)$, $B''(4, -1)$, and $C''(3, 2)$.What kind of a transformation, besides a translation, has been done to $\triangle ABC$?Multiple Choice Options (Responses)( ) a rotation( ) a composition( ) a reflection( ) a dilation

Answer 1

Reflection.

Reason: Each x-coordinate is sent to x' = 2 - x (a reflection across the vertical line x = 1) and then all y-values are decreased by 3 (a translation). For example, A(-5,4) -> reflect to (7,4) -> translate to (7,1).