Question

Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become

Answer 1

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

`(kx,ky).`

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

`(-10,-20)\to (0.8*-10,0.8*-20)=(-8,-16)`

So, the point (-10,-20) becomes (-8,-16).

The second point is (15,25), so its image will be

`(15,25)\to (0.8*15,0.8*25)=(12,20)`

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).