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We cannot determine without seeing the data for PRS & QRS.

My guess though would be ASA

Though it could also be SSS

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Q: Which postulate or theorem can be used to prove that triangle PRS is congruent to triangle QRS?
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How can proving two triangles congruent can help prove parts of the triangle congruent?

When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles. Thank you for asking


To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?

The two legs must be corresponding sides.


Can two triangles be congruent with 5 pairs of congruent parts?

Two triangles are congruent if the six elements of one triangle (three sides and three angles) are equal to the six elements of the second triangle and the two triangles have a scale factor of 1. However, in four special cases it is only necessary to match three elements to prove that two triangles are congruent. The matching of four elements is sometimes necessary, and the matching of five elements would put the matter beyond any doubt.


Which formula would you use to prove that a triangle is a rhombus using distance or midpoint or Pythagorean or slope?

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Difference between a theorem and lemma?

Theorem: A mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results. Lemma: A minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to prove a theorem. The distinction is rather arbitrary since one mathematician's major is another's minor claim. Very occasionally lemmas can take on a life of their own (Zorn's lemma, Urysohn's lemma, Burnside's lemma, Sperner's lemma).

Related questions

What is the definition of AAS Congruence postulate of trianges?

It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.


Which postulate or theorem can you use to prove that triangle ABC triangle EDC?

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Can you use the SSS postulate or the SAS postulate to prove triangle ABC and triangle AED are congruent?

Blah blah blah


Select the postulate or theorem that could be used to prove QRT STR?

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Which theorem is used to prove the AAS triangle congruence postulate theorem?

The first thing you prove about congruent triangles are triangles that have same side lines (SSS) is congruent. (some people DEFINE congruent that way). You just need to show AAS is equivalent or implies SSS and you are done. That's the first theorem I thought of, don't know if it works though, not a geometry major.


Which postulate or theorem can be used to prove that triangle ABD is congruent to triangle CDB?

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Which theorem is used to prove that aas triangle congruence postulate theorem?

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What are four ways you can prove two right triangles are congruent?

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