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Q: Is pqr congruent xyz if so name which similarity postulate or theorem applies?
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Is SAM FIG If so identify the similarity postulate or theorem that applies?

similar - SAS


Postulate that states triangles are congruent if all sides from the triangles are congruent?

That's not a postulate. It's a theorem. And you have stated it.


Which similarity postulate or theorem can be used to verify that two triangles are 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.


Is ABC trangle an trangle DEF If so name which similarity postulate or theorem applies.?

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


How does postulate becomes a theorem.?

When a postulate has been proven it becomes a theorem.

Related questions

Is TAG congruent to BAG If so identify the similarity postulate or theorem that applies?

Cannot be determined if it has 10 as a middle line between the two triangles.


Is ABC LMN If so name which similarity postulate or theorem applies?

similar - AA


Is ABC XYZ If so identify the similarity postulate or theorem that applies?

similar aa


Is BSE TES If so identify the similarity postulate or theorem that applies.?

Similar - SAS


Is SAM FIG If so identify the similarity postulate or theorem that applies?

similar - SAS


Is SAM DEL If so identify the similarity postulate or theorem that applies?

(Apex) Similar- SAS


Is triangle Bse and triangle TES if so identify the similarity postulate or theorem that applies?

Similar - SAS


Is PQR XYZ If so name which similarity postulate or theorem applies?

cannot be determined


Is triangle cow similar to triangle pig if so identify the similarity postulate or theorem that applies?

Can be determined


Postulate that states triangles are congruent if all sides from the triangles are congruent?

That's not a postulate. It's a theorem. And you have stated it.


What is AA similarity theorem?

The AA similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This theorem is based on the Angle-Angle (AA) postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.


What theorem or postulate can be used to justify that the two triangles are congruent?

Pythagorean theorem