CK-12 Geometry Concepts

(Elliott) #1

http://www.ck12.org Chapter 4. Triangles and Congruence


4.6 SSS Triangle Congruence


Here you’ll learn how to prove that two triangles are congruent given only information about the side lengths of the
triangles.


What if your parents were remodeling their kitchen so that measurements between the sink, refrigerator, and oven
were as close to an equilateral triangle as possible? The measurements are in the picture at the left, below. Your
neighbor’s kitchen has the measurements on the right, below. Are the two triangles congruent? After completing
this Concept, you’ll be able to determine whether or not two triangles are congruent given only their side lengths.


Watch This


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CK-12 Foundation: Chapter4SSSTriangleCongruenceA


Watch the portions of the following two videos that deal with SSS triangle congruence.


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James Sousa:Introduction toCongruent Triangles


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James Sousa:DeterminingIf Two Triangles are Congruent


Guidance


Consider the question: If I have three lengths, 3 in, 4 in, and 5 in, can I construct more than one triangle with these
measurements? In other words, can I construct two different triangles with these same three lengths?

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