Question

(b) translate the point p by d units in the y - direction to obtain a point s, then translate s by c units in the x - direction to obtain a point t. what are the coordinates of the point t?

Explanation:

Step1: Translate point P in y - direction

Let the coordinates of point P be $(x_0,y_0)$. When we translate point P by d units in the y - direction to get point S, the x - coordinate remains the same and the y - coordinate changes. The coordinates of S are $(x_0,y_0 + d)$.

Step2: Translate point S in x - direction

Now we translate point S by c units in the x - direction to get point T. The y - coordinate remains the same as that of S and the x - coordinate changes. The x - coordinate of T is $x_0 + c$ and the y - coordinate is $y_0 + d$. So the coordinates of T are $(x_0 + c,y_0 + d)$.

Answer:

If the coordinates of point P are $(x_0,y_0)$, the coordinates of point T are $(x_0 + c,y_0 + d)$