# SAS Exploration

Topic:
Geometry
In the exploration below, three parts of the disassembled figure are fixed so their measures will always be identical to three parts of the shaded triangle. You are able to manipulate the other sides and angles of the disassembled figure. Move the points of the disassembled figure around to try to form a triangle. Is it possible to make the disassembled figure into a triangle that is different than the first? When you've made your conclusion, answer the questions below.

Describe the parts that always have the same measure in both figures.

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• A
• B
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• D
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Describe the location of the angle that is the same in both figures.

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• A
• B
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In the SSS exploration you did earlier, you were able to move one triangle on top of the other triangle to convince yourself the two triangles were congruent. This sketch does not allow you to do that. So how are you able to be convinced that the triangles are in fact congruent?

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• C
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Which sentence below do you think best summarizes what you observed in this investigation?

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• C
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The name of this investigation is SAS. What do you think SAS stands for?

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• B
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• D
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It is not a coincidence that the letter A is SAS occurs in between the S's. What is it about the configuration of the congruent parts of these triangles that you think explains why this abbreviation is spelled the way it is?

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• A
• B
• C
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