Question

consider the image of triangle ABC for the translation (x,y) to (x+4,y-2) what is the ordered pair of C?

Answer 1

The ordered pair for point C is option C. (3, 2).

Explanation:

Step 1:

For this translation, (x, y) becomes (x + 4, y - 2).

This means the values of x are added with 4 and the y values are subtracted by 2.

The points of the triangle ABC are A (2, 4), B (2, 1), and C (3, -2).

Step 2:

Now we determine the ordered pairs after translation.

For A (2, 4).
`x = 2 + 4 = 6, y = 4 - 2 = 2,` So A becomes (6, 2).

For B (2, 1).
`x = 2 + 4 = 6, y = 1 - 2 = -1,` So B becomes (6, -1).

For C (-1, 0).
`x = -1 + 4 = 3, y = 0 - 2 = -2,` So C becomes (3, -2).

So the ordered pair of C is (3, -2) which is option C.