3/13/2023 0 Comments Illuminations congruent triangles![]() The following video covers the “SSS” and “SAS” Rules for Congruent Triangles. The angle included by these sides is the same. Two Triangles will be congruent if two matching sides have equal lengths and Going A to B to C should be the exact same path as D to E to F. We need to make sure the order of the letters matches going around the two triangles in the same order of sides. We need to be careful with the labelling when our Triangles are in different positions.Įg. When we say the Triangles are Congruent using their letters, we need to make sure the order of the letters matches the path around the two triangles correctly. In addition, Triangles are usually labelled with capital alphabet letters. This triple ine symbol is what we use in Australia however some other countries use an equals sign with a squiggly “tilda” line added to the top of it. There is a special symbol we use to indicate that Triangles are Congruent, that is like an equals sign with an extra line added on top of it. Instead we have markers to show where the matching same length sides are on the two triangles.įor these Triangles we can apply the “SSS” rule, as long as we have all three sides matching each other on the two triangles. In diagrams, the actual values of the sides are sometimes not given. This is called “SSS” or the “Side Side Side Rule”. We can actually use just the three sides to work out if two triangles are congruent. The first of these “Shortcut Rules” is the “Side Side Side”, or “SSS” Rule. There are FOUR “Shortcut Rules” for Congruent Triangles that we will be covering in this lesson. It turns out that we do not have to check all the sides and angles of two Triangles to work out that they are Congruent. The following Video by Mr Bill Konst about Congruence, covers the “SSS Rule for Triangles”, as well as covering Quadrilaterals and some interesting optical illusions. The position of the matching Triangles does not affect the fact that they are identical, or “Congruent”. The Identical (eg.”Congruent”) Triangles can be in different positions, (or orientations), and still be the exact same size and shape. This means that the matching sides must be the same length and the matching angles must be the same size. Two triangles are congruent if they are completely identical. Here are a typical pair of Congruent Triangles Image Copyright 2013 by Passy’s World of Mathematics pairs of Triangles which have the exact same size and shape.Ĭongruent Triangles are an important part of our everyday world, especially for reinforcing many structures. This lesson is all about “Congruent Triangles”, eg. ![]() ![]() When two items have the exact same size and shape, we say that they are “Congruent”. Identical Twins have the exact same size and shape, and we instantly recognise that the two of them are exactly the same.
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