ABC-DEF What sequence of transformations will move ABC onto DEF?
11
10
D(6,8)

|A(0,4)
03.0)
1 2 3 4 5/0 7 8 9 10 11 12
B(0,0) E60)F(12,0)
O A. The translation (x, y) - (x + 6, 9), followed by a dilation by a scale
factor of 2 centered at the origin
OB. A dilation by a scale factor of 2, centered at the origin, followed by
a reflection over the y-axis
O C. A dilation by a scale factor of , centered at the origin, followed by
the translation
(x, y) (x+6, y)

ABCDEF What sequence of transformations will move ABC onto DEF 11 10 D68 A04 030 1 2 3 4 50 7 8 9 10 11 12 B00 E60F120 O A The translation x y x 6 9 followed by class=

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Answer:

D

Step-by-step explanation:

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Answer is Option - D

Scale Factor is defined as the ratio of the size of the new image to the size of the old image.

If the scale factor is more than 1, then the image stretches.

If the scale factor is between 0 and 1, then the image shrinks.

If the scale factor is 1, then the original image and the image produced are congruent.

The only change in the dilation process is that the distance between the points changes. It means that the length of the sides of the original image and the dilated image may vary.

Here,

By dilation with factor 2 to the small triangle, its sides becomes equal as big triangle.

Now, center the small triangle at origin(0,0).

Then, transform the small triangle to (x + 6, y) i.e., it exactly gets the coordinates of the big triangle.

There are same in terms of sides length and coordinates.

Learn more about Scale factor and dillate here:

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