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Mathematics, 24.08.2021 04:30 brie7396

Andre remembers lots of ways to prove triangles congruent. He asks Clare, “Can we use Angle-Side-Angle to prove triangles are similar?”
Clare: “Sure, but we don’t need the Side part because Angle-Angle is enough to prove triangles are similar.”
Andre: “Hmm, what about Side-Angle-Side or Side-Side-Side? What if we don’t know 2 angles?”
Clare: “Oh! I don’t know. Let’s draw a picture and see if we can prove it.”
Andre: “Uh-oh. If ‘side’ means corresponding sides with the same length, then we’ll only get congruent triangles.”

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.​

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