Question

If a translation maps point (3, 2) to (5, 3); or T:(3, 2) (5, 3), indicate the image for (2, 4).

(4, 5)
(0, 3)
(5, 3)

Answer 1

A. (4,5)

Explanation:

We are given that,

A translation maps the point (3,2) to (5,3).

So, we see that,

(3,2) + (2,1) = (3+2,2+1) = (5,3).

So, the given translation is (x,y) changes to (x+2,y+1).

Then, the co-ordinates of the image of (2,4) are,

(2,4) + (2,1) = (2+2,4+1) = (4,5)

Hence, the image of (2,4) is (4,5).

Thus, option A is correct.

Answer 2

T:(3, 2) = (5, 3) implies shift of two units to the right and one unit up.
Therefore, T:(2, 4) = (2+2, 4+1) = (4, 5)