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bearn
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SAS, SSS and ASA?topsquark said:What are the three conditions for two triangles to be congruent?
-Dan
Good! Now, try for SSS on the first one. Is there any way you can show that BN = GI? For the second one, do the same trick but now you have a couple of supplementary angles to work with. Give it a try.bearn said:SAS, SSS and ASA?
To prove two triangles are congruent, you must show that all corresponding sides and angles are equal. This can be done using various methods such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Hypotenuse-Leg (HL) congruence criteria.
Proving congruence between two triangles is important because it allows us to establish that the two triangles are identical in shape and size. This helps us to make accurate measurements and calculations in various geometric problems.
Yes, two triangles can be congruent even if they have different orientations. As long as all corresponding sides and angles are equal, the triangles are considered congruent regardless of their orientation.
One common misconception is that if two triangles have the same shape, they must be congruent. This is not always true as the triangles could be scaled versions of each other. Another misconception is that if two triangles share two sides and an angle, they must be congruent. This is only true for the SAS congruence criteria.
There are no shortcuts or tricks to proving triangle congruence. It requires careful analysis and application of congruence criteria. However, with practice and familiarity, it becomes easier to identify which criteria to use in a given situation.