Q&A for How to Write a Congruent Triangles Geometry Proof

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In s-s-s, are the 3 sides congruent?

Donagan

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Yes, you can prove congruency if you can show that each of the three sides of a triangle is congruent (equal in length) respectively to a side of the other triangle.

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Question

My teacher will never give marks if I follow these steps. He just wants exactly the same written in classwork. If I solve at least half, and it's correct, teachers are supposed to give marks but our teacher will give a 0. What do I do?

Donagan

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Give your teacher what s/he wants. You won't have to put up with that forever.

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What do I write if all three sides are not congruent when doing a geometry proof?

Community Answer

It will always be a congruent if you are to prove any (angle/Side) provided you take the right triangle.

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What do I do when asked to prove congruency when given two angles and a side?

Donagan

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Assuming the given side is between the two given angles, that's ASA ("angle-side-angle"), which is in itself proof of congruency. If the given side is not between the given angles, you would need additional information in order to prove congruency.

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Are SAS and AAS axioms the same?

Donagan

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No, they're not the same, but they are of equal value in proving triangle congruency.

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What can I do if I can't do the questions of proof from out of the textbook?

Community Answer

Keep trying. You can do it or you can otherwise have a look through some of the worksheets available online.

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What is the difference between corresponding sides and given?

Donagan

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"Corresponding sides" (as a reason in a proof of congruency) means that sides occupying the same position in congruent polygons (triangles in this case) are congruent (or equal in length). "Given" means that the information you are presenting is true by definition or by earlier proof.

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