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Triangle ABC has vertices A(0, 6), B(-8, – 2), and
C(8, – 2).

A dilation with a scale factor of 1/2 and center at the origin is
applied to this triangle.

What are the coordinates of B' in the dilated image?

Enter your answer by filling in the boxes.

B' has a coordinate pair of ( )

Respuesta :

Answer:

B' has a coordinate pair of (-4, -1)

Step-by-step explanation:

We are given with the vertices of the triangle with B(-8,-2)

Please remember the rule of dilation

If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)

Using this concept, we know scale factor is [tex]\frac{1}{2}[/tex] , we could get image as [tex](\frac{1}{2} (-8), \frac{1}{2} (-2))[/tex]

Let's simplify it

We do get (-4,-1)

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