SSS Exploration

Autor:kjordanlghs, Lorena Mendoza, Julie Stoker

Procedure

1) Drag points A, B and C in ABC below. Observe the behavior of ∆DEF. Try to make the two triangles have different shapes. 2) After moving the points around, click inside one of the triangles and drag it on top of the other. 3) Try to make the two triangles completely overlap. (Hint: start by trying to match up one pair of vertices) 4) Finish by answering the questions below.

Complete the following: If two triangles are congruent, then they have the same ____________ and ______________

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A
color
B
smell
C
size
D
shape

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Triangles have a total of 6 parts: 3 sides and 3 angles. For which of these parts do you have numerical information that remains the same as you move points A, B and C?

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A
angles
B
sides

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Were you able to get one triangle to completely overlap the other triangle?

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A
yes, no matter what I was able to make each pair of triangles completely overlap one another.
B
no, I was never able to make each pair of triangles completely overlap one another.

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Were you ever able NOT to get the two triangles to completely overlap?

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A
No, they always overlapped no matter how I moved points A, B and C.
B
Yes, I was able to make two triangles that could not be made to overlap

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Which of the following sentences do you think best summarizes what you observed in this exercise?

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A
If three angles of one triangle are congruent to three angles of another triangle, then the two triangles will always be congruent.
B
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles will always be congruent
C
If three sides of one triangle are congruent to three sides of another triangle then the two triangles will always be congruent.
D
If three sides of one triangle are congruent to three sides of another triangle then the triangles will not necessarily always be congruent.

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What do you think the "SSS" abbreviation of this activity stands for?

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A
Sale! Sale! Sale!
B
Service! Service! Service!
C
Sally's Sea Shells
D
Side - Side - Side

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SSS Exploration

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