Question

Triangle ABC is translated to triangle A'B'C' by the transformation (x,y)→(x+2,y−5) What will be the corrdinates of A'? A (4, -4) B (2, -5) C (0, 6) D (-2, 5)

Answer 1

Given that: Triangle ABC is translated to triangle A'B'C' by the transformation

$(x,y)\to (x+2,y-5)$

The points are A(4, -4), B(2, -5), C(0, 6), D(-2, 5).

To find: Coordinates of A'.

The coordinates of A are (4,-4).

Using the given rule of transformation, we get

$A(4,-4)\to A'(4+2,-4-5)$

On simplification, we get

$A(4,-4)\to A'(6,-9)$

Therefore, the coordinates of point A' are (6,-9).