Question

If ΔMTV is reflected across the x-axis, what are the resulting coordinates of point T

Answer 1

4,5 is t hope this helps ,......

Answer 2

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).