IM Geo.3.10 Lesson: Other Conditions for Triangle Similarity

Evaluate mentally. Is there enough information to determine if the pairs of triangles are congruent? If so, what theorem(s) would you use? If not, what additional piece of information could you use?
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[/img]
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[/img]
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oZhT0fsJdbAhJPJWdlUwAFjU80UlOWASUEj23TRAWNTzRSU5YBJQSPbdPE/uaqOMAzfhawAAAAASUVORK5CYII=[/img]
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[/img]
[size=150]Andre remembers lots of ways to prove triangles congruent. He asks Clare, “Can we use Angle-Side-Angle to prove triangles are similar?”[br][br]Clare: “Sure, but we don’t need the Side part because Angle-Angle is enough to prove triangles are similar.”[br][br]Andre: “Hmm, what about Side-Angle-Side or Side-Side-Side? What if we don’t know 2 angles?”[br][br]Clare: “Oh! I don’t know. Let’s draw a picture and see if we can prove it.”[br][br]Andre: “Uh-oh. If ‘side’ means corresponding sides with the same length, then we’ll only get congruent triangles.”[/size][br][br]What could ‘side’ stand for to prove triangles similar?
Draw a diagram that would help you prove the Side-Angle-Side Triangle Similarity Theorem.
Write a proof.
Prove that these 2 triangles in the applet below must be similar.
Prove or disprove the Side-Side-Angle Triangle Similarity Theorem.
Fechar

Informação: IM Geo.3.10 Lesson: Other Conditions for Triangle Similarity