Question

Please help me with this math question I need help immediately I will give brainliest thanks

Answer 1

Since the dilatation is centred at the origin then multiply each of the coordinates of the vertices by the scale factor.

(- 4, 2 ) → $\frac{1}{2}$(- 4, 2 ) → (- 2, 1 )

Similarly

(- 2, 8 ) → (- 1, 4 )

(2, 4 ) → (1, 2 )

Answer 2

Answer:

(-2, 1), (-1, 4) and (1, 2)

Step-by-step explanation:

We are given a triangle with points (-4, 2), (-2, 8) and (2, 4) and we are to graph the image of the given triangle after a dilation with a scale factor of $\frac{1}{2}$ centered at the origin.

So, we will multiply the coordinates of each point by $\frac{1}{2}$ to get the points of the image after dilation.

(-4, 2) --> $\frac{1}{2}(-4, 2) = (-2, 1)$  

(-2, 8) -->  $\frac{1}{2}(-2, 8) = (-1, 4)$

(2, 4) -->  $\frac{1}{2}(2, 4) = (1, 2)$

Therefore, the coordinates of the image of the given figure after dilation will be (-2, 1), (-1, 4) and (1, 2).