Answer: The resulting co-ordinates of point T are (4, -5).
Step-by-step explanation: Given that the triangle MTV is reflected across the X-axis.
We are to find the resulting co-ordinates of point T.
From the figure, we note that the co-ordinates of the vertices of ΔMTV are
M(2, 5), T(4, 5) and V(2, 1).
Let, ΔM'T'V' be the image of ΔMTV after reflection across the X-axis.
We know that if a point (x, y) is reflected across the X-axis, then its 'y' co-ordinate will change sign.
That is, after reflection across X-axis,
(x, y) ⇒ (x, -y).
So, the co-ordinates of the vertices of ΔM'T'V' will be
M(2, 5) ⇒ M'(2, -5),
T(4, 5) ⇒ T'(4, -5)
and
V(2, 1) ⇒ V'(2, -1).
Thus, the resulting co-ordinates of point T are (4, -5).
