Mathematics: 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)

it is a sundayStep-by-step explanation:...

This figure is dilated by a factor of 1 2 , with

katherinelondon4002

03.01.2022

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.

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