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GeoGebraTarefa

SSA and SAS Interactive

Part 1: SSA

Play with the interactive for a few minutes, and then try to answer the questions below. Drag Point B to orientate the activity.

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why? Angle= The First Side Length (AB) = 4 The Second Side Length = 6

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why? Angle= The First Side Length (AB) = 10 The Second Side Length = 6

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why? Angle= The First Side Length (AB) = 10 The Second Side Length = 4

When Triangle BDE is present, what type of triangle is it?

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What is the relationship between The Second Side Length lines and the circle?

Part 2: SAS

Play with the interactive for a few minutes, and then try to answer the questions below. Drag Point B to change the length of the second side AB.

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why? The First Side Length (AC) = 4 Angle= The Second Side Length = 6

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimension? If not, why? The First Side Length (AC) = 10 Angle= The Second Side Length = 6

Try to create a triangle with the following dimensions. Can you do it? If so, how many triangles match the dimensions? If not, why? The First Side Length (AC) = 10 Angle= The Second Side Length = 4

The Big Question

When working with congruent triangles, there is typically an assumption that the triangles can be created. Make a conjecture about why there is a SAS Criteria but not an SSA Criteria.