Question

This figure is dilated by a factor of 1 2 , with the origin as center. Which statement is NOT correct? A) R(2, 8) → R'(1, 4) B) Q(10, 2) → Q'(5, 2) C) P(2, -4) → P'(1, -2) D) S(-10, 2) → S'(-5, 1)

Answer 1

Statement B would be the correct answer because the y's stayed the same. Having a dilation of 1/2 means that both the x and y from the original point will be multiplied by 1/2. Every other answer is multiplied by 1/2, meaning B is the correct answer. 

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Answer 2

Answer:

Option B.

Step-by-step explanation:

If a figure is dilated by a factor of k , with the origin as center, then the rule of dilation is

$(x,y)\rightarrow (kx,ky)$

It is given that the given figure is dilated by a factor of 1 2 , with the origin as center. So, the rule of dilation is

$(x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)$

The vertices of image are

$R(2,8)\rightarrow R'(1,4)$

$Q(10,2)\rightarrow Q'(5,1)$

$P(2,-4)\rightarrow P'(1,-2)$

$S(-10,2)\rightarrow S'(-5,1)$

All the given statements are correct except Q(10, 2) → Q'(5, 2).

Therefore correct option is B.