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 )
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)
To reflect a triangle with respect to the X-axis, we keep the X-coordinate the same and change the sign of the Y-coordinate.
For the triangle ABC with vertices A (2, -1), C (1, -3), and B (6, -3), the reflected vertices with respect to the X-axis are:
A' (2, 1)
C' (1, 3)
B' (6, 3)
To reflect a triangle with respect to the Y-axis, we keep the Y-coordinate the same and change the sign of the X-coordinate.
For the triangle ABC, the reflected vertices with respect to the Y-axis are:
A" (-2, -1)
C" (-1, -3)
B" (-6, -3)
Therefore, the vertices of triangle ABC after reflecting it with respect to the X-axis and the Y-axis are:
A' (2, 1)
C' (1, 3)
B' (6, 3)
A" (-2, -1)
C" (-1, -3)
B" (-6, -3)