Question

On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4).
Which reflection will produce an image of ΔRST with a vertex at (2, –3)?

a reflection of ΔRST across the x-axis
a reflection of ΔRST across the y-axis
a reflection of ΔRST across the line y = x
a reflection of ΔRST across the line y = –x

Answer 1

Reflection across the line y = −x.

Reason: reflection across y = −x sends (x,y) to (−y,−x). Applying this to S(3, −2) gives (−(−2), −3) = (2, −3).