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Similar -AA

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Q: Kira drew PQR and STU so that P S Q T PR 12 and SU 3. Are PQR and STU similar If so identify the similarity postulate or theorem that applies.?

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similar - SAS

None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.

similar

To verify that two triangles are similar, you can use several similarity postulates and theorems. The most common ones include: **AA Similarity Postulate (Angle-Angle Similarity Postulate):** If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This postulate relies on the similarity of corresponding angles. **SAS Similarity Theorem (Side-Angle-Side Similarity Theorem):** If two pairs of corresponding sides of two triangles are in proportion, and their included angles are congruent, then the two triangles are similar. This theorem involves both sides and angles. **SSS Similarity Theorem (Side-Side-Side Similarity Theorem):** If the corresponding sides of two triangles are in proportion, then the two triangles are similar. This theorem only considers the proportions of the sides. These postulates and theorems are fundamental principles of triangle similarity and are used to establish whether two triangles are indeed similar. Remember that similarity means that the corresponding angles are equal, and the corresponding sides are in proportion.

When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)

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It is not possible to answer the question because BES and GES are not even defined!

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Yes they are and the postulate is SAS.

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