GGBI 24 Similar Triangles
Explore the Similarity Theorems below.
Answer the following questions.
AA Triangle Similarity
What do you notice when you move the sliders?
What information is given for both triangles ABE and CDF? Be specific.
What other information can you identify in the triangles aside from the shown information? Explain how you got this information.
Is the given information enough to conclude that the triangles are similar?
When can you say that two triangles are similar based on your observations?
SSS Triangle Similarity
What happens when you move the vertices on the preimage?
What information is given for both triangles ABC and A'B'C'? Be specific.
How do you calculate the scale factor?
What other information can you identify in the triangles aside from the shown information? Explain how you got this information.
Is the given information enough to conclude that the triangles are similar?
When can you say that two triangles are similar based on your observations?
SAS Triangle Similarity
What happens when you move the red slider?
What happens when you move the green slider?
What happens when you move the black slider?
What other information can you identify in the triangles aside from the shown information? Explain how you got this information.
Is the given information enough to conclude that the triangles are similar?
When can you say that two triangles are similar based on your observations?
You Try!
What do you notice about the above triangles?
What information is true about the arrows?
Based on what you see, are these two triangles similar? Explain.