Which composition of similarity transformations maps polygon ABCD to polygon A’B’C’D’?

Students were requested to answer a question at institution and to declare what is most important for them to succeed. One which response stood out from the rest was practice. People who are generally successful do not become successful by being born. They work hard and determination their lives to succeeding. This is how you can reach your goals. shown below some question and answer examples that you may utilise to further enhance your knowledge and gain insight that will help you to continue your school studies.

Question:

Which composition of similarity transformations maps polygon ABCD to polygon A’B’C’D’?

a dilation with a scale factor of and then a rotation
a dilation with a scale factor of and then a translation
a dilation with a scale factor of 4 and then a rotation
a dilation with a scale factor of 4 and then a translation

Answer:

Hey there!

Unless the smaller object was rotated 360° (in which case the rotation wouldn’t have to be mentioned), you can see that all of the lines are still in the same place and that it wasn’t rotated at all. This eliminated any answer option that mentions a rotation, which is A and C. 

Also, if you count the units of one of the straight lines – for example, line AB and A’B’ – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A’B’, line AB is 8 units long and A’B’ is 2 units long. This means that the scale factor is 

Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn’t moved after being scaled down. 

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The answer will be B, “a dilation with a scale factor of and then a translation.”

Hope this helped you out! 🙂

From the answer and question examples above, hopefully, they could simply help the student solve the question they had been looking for and keep in mind of every thing declared in the answer above. You may then have a discussion with your classmate and continue the school learning by studying the problem as a group.

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