Question

point t is at (-2, 5). what are the coordinates of point t after a reflection across x = 0 and then y = 0? ( , )

Explanation:

Step1: Reflect across x = 0

The line x = 0 is the y - axis. When a point (x,y) is reflected across the y - axis, the rule is (x,y)→(-x,y). Given the point T(-2,5), after reflection across x = 0, the new x - coordinate is -(-2)=2 and the y - coordinate remains the same. So the point becomes (2,5).

Step2: Reflect across y = 0

The line y = 0 is the x - axis. When a point (x,y) is reflected across the x - axis, the rule is (x,y)→(x, - y). For the point (2,5), after reflection across y = 0, the x - coordinate remains 2 and the new y - coordinate is - 5.

Answer:

(2, - 5)