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olga2289 [7]
2 years ago
13

What is the scale factor of the dilation

Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0
The scale factor would be 2, since the image is 2 times bigger than the pre-image.

Hope this helps! :) I did this last year, so this is the correct answer! ;)
Darya [45]2 years ago
5 0

Answer:  The answer is 2.

Step-by-step explanation:  We are given to find the scale factor for the dilation of a triangle shown in the figure.

The triangle ABC is dilated to form the triangle A'B'C'.

To find the scale factor, we need to divide the length of one side of the dilated triangle A'B'C' by the length of the corresponding side of the original triangle ABC.

From the figure, we note that

AB = 5 units  and  A'B' = 10 units.

Therefore, the scale factor will be

S_f=\dfrac{A'B'}{AB}=\dfrac{10}{5}=2.

Thus, the answer is 2.

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Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

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Slope formula,

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m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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