Question
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How can you make different triangles with the same angle measures? A. Make triangles with the same angle measures and the same side lengths B. Make triangles with the same side lengths but different angle measures C. Make triangles with the same angle measures but different side lengths D. It is not possible to make different triangles with the same angle measures.

Ask by Powers Bates. in the United States
Mar 14,2025

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You can make different triangles with the same angle measures by having different side lengths.

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Bonus Knowledge

Did you know that such triangles are known as similar triangles? When triangles share the same angle measures, they retain the same geometric shape but can vary in size. So, you can scale them up or down indefinitely, resulting in triangles that look alike but are different in size! Here’s a fun fact: These triangles also follow a principle called the Angle-Angle (AA) similarity criterion. This means that if two triangles have two corresponding angles that are equal, the third angle must also be equal, ensuring that all triangles with the same angles are similar. However, their side lengths can differ, creating countless unique triangles!

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