Reflective triangle ABC with respect to the X axis and the Y axis when are the vertices of triangle ABC? Original point of ABC are A ( 2, -1 ) C ( 1, -3 ) and B ( 6, -3 )

Answer 1

To reflect a point with respect to the x-axis, you simply change the sign of its y-coordinate. Similarly, to reflect a point with respect to the y-axis, you change the sign of its x-coordinate.

For the given triangle ABC, reflecting it with respect to the x-axis means changing the sign of the y-coordinates:

A' = (2, 1)
C' = (1, 3)
B' = (6, 3)

Similarly, reflecting it with respect to the y-axis means changing the sign of the x-coordinates:

A'' = (-2, 1)
C'' = (-1, 3)
B'' = (-6, 3)

Finally, we have the vertices of the reflected triangle ABC with respect to the x-axis and the y-axis:

A' = (2, 1), B' = (6, 3), C' = (1, 3)
A'' = (-2, 1), B'' = (-6, 3), C'' = (-1, 3)