"Octagon ABCDEFGH and its dilation, octagon A’B’C’D’E’F’G’H’, are shown on the coordinate plane below.



If the center of dilation is at the origin, by what scale factor was octagon ABCDEFGH dilated?


1/4
1/2
2
4
"

Octagon ABCDEFGH and its dilation octagon ABCDEFGH are shown on the coordinate plane below If the center of dilation is at the origin by what scale factor was o class=

Respuesta :

For example look at the point A and its image A`:A ( 3, 1 ) → A` ( 6, 2 )The pattern is:( x, y ) → ( 2 x, 2 y )The same is with all other points.
Therefore the scale factor is 2.Answer:C ) 2

By the scale factor of 1/2 the was octagon ABCDEFGH dilated

What is Octagon?

Any figure bounded by 8 sides is called an Octagon.

How to know by what scale factor was octagon ABCDEFGH dilated ?

According to the problem,

  • We are given the dilation of octagon ABCDEFGH which forms the octagon A'B'C'D'E'F'G'H' as shown in the given figure.
  • To find the scale factor, we need to divide the length of one side of the dilated octagon A'B'C'D'E'F'G'H' by the length of the corresponding side of the original octagon ABCDEFGH.
  • From the figure, we note that GH = 4 units and G'H' = 2 units.

∴The scale factor will be 2/4 = 1/2

Option B is correct.

Find more about "Octagon" here: https://brainly.com/question/358118

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