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Lemur [1.5K]
3 years ago
13

Which rule yields the dilation of the figure STUV centered at the origin?

Mathematics
2 answers:
Stels [109]3 years ago
5 0

The length of ST is 10 units, the length of S't" is 2 units.


This means the dilated figure was decreased by a factor of 5.

Because it is smaller it would be a scale factor of 1/5 ( 0.2 as a decimal).

Maslowich3 years ago
5 0

Answer: it’s B

Step-by-step explanation:

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\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
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Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.
Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

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The corresponding sides of image A"B"C" are smaller than the preimage ABC.  

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Since k<0, therefore the transformation shows the reduction. The dilation rule is

(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)

A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)

B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)

C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)

Option B is correct.

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Read 2 more answers
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