Question

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Which statement correctly identifies the line of reflection?
A.The triangles are reflected across the X-axis
B.The triangles are reflected across the Y-axis
C.The triangles are reflected across the line Y=X
D.The triangles are reflected across the line Y=-X

Answer 1

Answer: C , triangles reflected across the line Y=X

Explanation: The line Y=X intersects through the origin and has a slope of positive 1, so if you imagine that line on the graph shown, you're able to see how the triangles are reflected across it.

Also, when the X and Y coordinates are "flipped" for each triangle, you can tell that it's reflected across Y=X. For example, the point at the right angle for the red triangle is (1,-1), while the corresponding point on the black triangle is at (-1,1), "flipping" the coordinates.
Hope this helps!!! :)