If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)

If QRS is dilated by a scale factor of 6 through the origin which of the following points represent the coordinates of R A 1224 B 1224 C 2412 D 2412 class=

Respuesta :

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

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