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I only know 3.

SSS (side/side/side) -> if all three sides are the same length

SAS (side/angle/side) -> if two sides and the angle between them are the same

ASA (angle/side/angle) -> if two angles and the side between them are the same

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14y ago
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Anonymous

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4y ago

sas,asa,aas,sss,

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Q: What are the 5 shortcuts used for proving triangles are congruent?
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Related questions

What is SSS used for in geometry?

SSS is a postulate used in proving that two triangles are congruent. It is also known as the "Side-Side-Side" Triangle Congruence Postulate. It states that if all 3 sides of a triangle are congruent to another triangles 3 sides, then both triangles are congruent.


Which cannot be used as a reason in a proof?

AAA (angle angle angle) cannot be used as a reason in a proof when proving triangles congruent .


What needs to happen before you can use the reason CPCTC in a geometric proof?

Before using Corresponding Parts of a Congruent Triangle are Congruent theorem (CPCTC) in a geometric proof, you must first prove that there is a congruent triangles. This method can be used for proving polygons and geometrical triangles.


How are congruent triangles used in everyday life?

dick


How does sas theorem answer?

The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.


Why can't you use AAA to prove two triangles congruent?

You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably be used to prove two triangles are similar not congruent.


Which arrangement cannot be used to prove two triangles congruent?

SSA


How are congruent triangles used in real life?

Mostly congruent triangles are used for construction of things like bridges and buildings because they are considered more stable and strong to use (i hope that helps i had to learn this for a project)


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

Pythagorean theorem


Why are congruent triangles used in building?

ya , so i actually wanted the answer myself but i think it is because congruent triangle will give it a balance and support


What CANNOT be used to prove triangles congruent ASA. SSS. SAS.?

All three of those CAN .


What does sas mean in geometery?

It is an acronym for the postulate "Side Angle Side". This is used to determine a triangle's congruency to other triangles. SAS is grouped often with SSS, AAS, and ASA (all "A"s are angle, all "S"s are side.)