Question

7: The point B (-8,5) is dilated from the origin with a scale factor of 12 . ​What are the coordinates of B'? A (−6,3) B (−4,2.5) C (−16,10) D (−10,7)

Answer 1

The correct option is option B.

The coordinate of B' is (-4,2.5).

Explanation:

Formula of dilation:

Image = (pre-image)×(scale factor)

Scale factor:

The amount by which the shrinks or grows is called " scale factor".

• If the scale factor less than 1 then the shape shrinks.
• If the sale factor equal to 1 then the shape remains same.
• If the scale factor greater than 1 then the shape enlarged.

Given point is B(-8,5)

Scale factor is
`\frac12`.

The co-ordinate of image B is
`(-8* \frac12,5* \frac12)`

=(-4,2.5)

The coordinate of B' is (-4,2.5).