Transformational Geometry

  1. Given Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Write down the coordinates of the image after the following composition; reflection over the line y = -x

followed by a rotation of 90 degrees clockwise.

A”( – 3, 2), B”( – 6, 0), and C”( – 6, 2)
(I don’t get numbers 2-4)

  1. Given a triangle ABC with A(2, 3), B(0, 6), and C(2,6). Determine if the image A”B”C” is congruent to it’s pre-image ABC after the following transformation;

dilation of scale factor 1, rotation about the origin of 180 degrees, and a reflection over the line y = -1. Explain your answer.

  1. Given triangle ABC with A(2, 3), B(0, 6), and C(2,6). Identify the coordinates of A’B’C’ after a dilation centered at the origin having a scale factor of 2.
  2. Triangle ABC with A(2, 3), B(0, 6), and C(2,6). Find the area of triangle ABC and its image after a reflection in the origin. What do you notice about the area of

the image and its pre-image? Explain

Sample Solution

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Choose at least 3 concepts and/or theories learned throughout the course. Develo

Choose at least 3 concepts and/or theories learned throughout the course.
Develop a 1 page outline using your chosen concepts and theories. Discuss their relevance to the story told in the book by Fadiman.
Some of the theories and concepts can be, but are not limited to, the following:
Socioeconomic status

Illness behaviors influenced by ethnicity, culture, and social network
The sick role
The physician-patient role
Culture differences in communication between care providers and patients
Role of faith healing and folk healing

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Develo
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For this last week of class, I would like each of you to think back about all of

For this last week of class, I would like each of you to think back about all of the information covered during the term.
What statistical concept or technique do you think will be the most helpful for you in the future? Please specifically identify and describe one concept or technique and explain how it will be helpful.
Any student who posts a thoughtful contribution to this last Weekly Discussion will receive full credit for it.

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This is less of a quiz and more a one page response paper/reflection essay. List

This is less of a quiz and more a one page response paper/reflection essay. Listen to the
Radiolab episode ‘The Cataclysm Sentence.’ In it, a group of scientists try and decide what
sentence they would pass on to the next generation if everything was about to be destroyed and
you had to decide what was important to communicate in a single sentence.
Now, this podcast primarily revolves around the natural sciences, and this is a social science
class so we have some more flexibility in deciding what ‘knowledge’ to pass on. It can be your
own words, or someone else’s if they resonate with you. Just make sure you explain your choice
in a couple sentences- why it is important to you, and why you think it is important to pass on to
the next generation/society.
Lastly- did this class (the things discussed, readings/podcasts assigned, lectures and group work)
influence your answer at all or your evaluation of what is important in society, particularly when
rebuilding a new world out of the history of the old one and it’s conflicts.
https://www.wnycstudios.org/podcasts/radiolab/articles/cataclysm-sentence

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