Question

The vertices of triangle STU are S(1, -2), T(5,-2) and U(1.-4). Find the coordinates of the image of triangle STU after a translation using the rule (x, y) - (x - 1, y + 4) and a reflection over the y-axis.

Answer 1

1st Translation:

(x, y) ----> (x - 1, y + 4)

means

subtract 1 from x coordinate

add 4 to y coordinate

new vertices are:

S'(0,2)

T'(4,2)

U'(0,0)

Graphing this, we get:

If we reflect about y axis, the T' just gets reflected.

S' and U' stays same as they are already in y-axis.

T' is (4,2).

After y-axis reflection, it becomes (-4,2).

So, final coordinates after transformation:

S'(0,2)

T'(-4,2)

U'(0,0)