Question

If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

Answer 1

The transformed points of the triangle ABC are
`A' (x,y) = \left( (1)/(2), (1)/(2)\right)`,
`B'(x,y) = \left((9)/(2), (1)/(2) \right)`,
`C'(x,y) = \left((1)/(2), (9)/(2)\right)`

Explanation:

The new points after applying the scale factor are, respectively:

`A' (x,y) = (1)/(2)\cdot (1,1)`

`A' (x,y) = \left( (1)/(2), (1)/(2)\right)`

`B' (x,y) = (1)/(2)\cdot (9,1)`

`B'(x,y) = \left((9)/(2), (1)/(2) \right)`

`C'(x,y) = (1)/(2)\cdot (1,9)`

`C'(x,y) = \left((1)/(2), (9)/(2)\right)`