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Mathematics
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10th Grade
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Anna Cockrum
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7 Slides • 3 Questions
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Monday Dec. 14, 2020
2
Multiple Choice
Warm - up: What are the important properties of dilations?
Dilations change the sides and angles of the image
Dilations preserve angle measures and all sides are scaled equally
Only angles change
One side can change without changing the others.
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Multiple Choice
Dilation or distortion?
Dilation
Distortion
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True or false? Be ready to defend your answer (only pick one)
All equilateral triangles are similar
All isosceles triangles are similar
All right triangles are similar
All circles are similar
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Open Ended
Write your reasoning for your statement
A. All equilateral triangles are similar
B. All isosceles triangles are similar
C. All right triangles are similar
D. All circles are similar
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The next two slides are purely informational
Please do not copy the answers to these, they are possible sample responses. Your reasoning is probably better and, more importantly, makes sense to you. Never copy an answer just to get a question right in this class, always write what makes sense to you and helps you learn.
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Possible reasoning for A. All equilateral triangles are similar
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Possible reasoning for B. All isosceles triangles are similar, C. All right triangles are similar, and D. All circles are similar
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If you ever need to prove similarity...
One sure way to help prove that two shapes are similar is that there is a sequence of rigid motions (translation, rotation, reflection) that takes one shape over to the other so you can show your dilations.
We've been doing this with the shared center of dilation, where the triangles share a point and the sides are scaled from there.
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Let's Practice Our Skills
There will be another slide deck for practice problems, that one will be graded as classwork
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Monday Dec. 14, 2020
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