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IrinaK [193]
3 years ago
11

On a coordinate plane, which single transformation could map point A (3,-4) onto point A' (1.5,-2)? *

Chemistry
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer: A dilation with rule: (x,y)\to(\dfrac12x,\dfrac12y)

Explanation:

A dilation is a non-rigid transformation that creates an image that is the same shape as the original but has a different size.

It uses a scale factor k such that

(x,y)\to(kx,ky)

(x,y)= coordinates of original figure

(kx,ky) = corresponding coordinate in the image.

To transform: A (3,-4) onto point A' (1.5,-2).

Using scale factor k= \dfrac12, we have

A(3,-4)\to A'(\dfrac12\times3, \dfrac12\times-4)=A'(1.5,-2)

Required rule: (x,y)\to(\dfrac12x,\dfrac12y)

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