Question

Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A'B'C'. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7).

Answer 1

(5, 3.75)

(-2.5, 1)

(0.25, -3.5)

Answer 2

The coordinates of A' are
`A'(x,y) = (5, 3.75)`.

The coordinates of B' are
`B'(x,y) = (-2.5, 1)`.

The coordinates of C' are
`C'(x,y) = (0.25, -3.5)`.

Explanation:

The statement is incomplete, we present the complete statement below: Triangle ABC is dilated using the dilation rule
`D = 0.5\cdot (x,y)` to form triangle A’B’C’. Point A is located at
`A(x,y) = (10, 7.5)`, point B is located at
`B(x,y) =(-5,2)`, and point C is located at
`C(x,y) =(0.5,-7)`. What are the coordinates of A’? What are the coordinates of B’? What are the coordinates of C’?

We proceed to calcultate the coordinates of the triangle A'B'C' hereafter:

What are the coordinates of A'?

`A'(x,y) = 0.5\cdot A(x,y)` (1)

`A'(x,y) = 0.5\cdot (10, 7.5)`

`A'(x,y) = (5, 3.75)`

The coordinates of A' are
`A'(x,y) = (5, 3.75)`.

What are the coordinates of B'?

`B'(x,y) = 0.5\cdot B(x,y)` (2)

`B'(x,y) = 0.5\cdot (-5,2)`

`B'(x,y) = (-2.5, 1)`

The coordinates of B' are
`B'(x,y) = (-2.5, 1)`.

What are the coordinates of C'?

`C'(x,y) = 0.5\cdot C(x,y)` (3)

`C'(x,y) = 0.5\cdot (0.5,-7)`

`C'(x,y) = (0.25, -3.5)`

The coordinates of C' are
`C'(x,y) = (0.25, -3.5)`.