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They are theorems that specify the conditions that must be met for two triangles to be congruent.

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AAS, HA

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Q: What are the congruence theorems or postulates?
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What are the 2 triangle congruence theorems?

The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.


What are accepted without proof in a logical system Check all that apply A Postulates B Theorems C Axioms D Corollaries?

Postulates and axioms.


What are the four congruence postulates?

The postulates that involve congruence are the following :SSS (Side-Side-Side) Congruence Postulate - If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.SAS (Side-Angle-Side) Congruence Postulate - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.ASA (Angle-Side-Angle) Congruence Postulate - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.The two other congruence postulates are :AA (Angle-Angle) Similarity Postulate - If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.Corresponding Angles Postulate - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.


Which types of statements can justify the steps of proof?

Theorems, definitions, corollaries, and postulates


What are the three building blocks of geometry?

There are Four building blocks of geometery. They are; theorems, postulates, definitions, and undefined terms. They are terms that prove statements in geometery. The undefined terms include a point, line and plane.

Related questions

Wwhich of the following are not congruence theorems or postulates?

the congruence theorems or postulates are: SAS AAS SSS ASA


Are not congruence theorems or postulates?

Putting a question mark at the end of a few words does not make it a sensible question. Please try again.


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why HIJ KLM (Apex)?

HA AAS


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why LMN OPQ (Apex)?

LA AAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF KLM (Apex)?

LA and SAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF JKL (Apex)?

LA ASA AAS [APEX]


Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why JKL QRS (Apex)?

LA and SAS [APEX]


What are congruence theorems?

there are 4 types of congruence theorem-: ASA,SSS,RHS,SAS


What are the properties of geometry?

logic postulates theorems


How the triangle similarity postulates are alike and how they differ from triangle congruence postulates?

Similarity is where triangles have equal angles at each corner. Congruence is where triangles have sides of equal length.


What is always true in a logical system?

Theorems, corollaries, and postulates.


Can postulates be used to solve theorems?

No. A postulate need not be true.