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monitta
3 years ago
6

Identify a sequence of transformation that maps triangle ABC onto triangle A"B"C" in the image below.

Mathematics
2 answers:
Vladimir79 [104]3 years ago
5 0
I'd go with: D. clockwise 90 rotation; reduction 

(Hope I helped :D
tia_tia [17]3 years ago
5 0

Answer:

C counterclockwise 90 rotation; enlargement

Step-by-step explanation:

From the photo, we can see that triangle A"B"C" is the product of triangle ABC  after the transformation.

Please have a look at point C on line y-axis and after that it lies on x-axis. So we have possible reasons:

1. rotated either counterclockwise 90°

2. rotated clockwise 270°.

The rule is: (x,y)\rightarrow (-y,x)

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

k=\frac{A"B"}{AB}=\frac{6}{2}=3 > 0

Because k >0, the transformation shows the enlargement

So we choose option C counterclockwise 90 rotation; enlargement

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We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

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