Yes, providing the angle is the one included between those two sides.
The conditions for congruency are:
SAS (2 sides and the included angle)
AAS (2 angles and a corresponding side)
RHS (right angle hypotenuse and another side)
SSS (3 sides).
Triangles are congruent when:All three sides are the same length (SSS congruency)Two sides and the angle between them are the same length (SAS congruency)Two angles and the side between them are the same length (ASA congruency)
True. Only if the given angle is between the two sides will the two triangles guarantee to be congruent (SAS), unless the given angle is a right angle (90°) in which case you now have RHS (Right-angle, Hypotenuse, Side) which does guarantee congruence.
well, they could be congruent, there are some rules for congruency, to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. ;or they could be mathmatically similar. :)
Yes.
because neither side congruency nor angle congruency can be proved... to put it simply, this is because there would be too many variables with too little information if you set it up in an equation OR the fact that nothing is sandwiched between 2 parts like a side is not put between a side and an angle or vice versa, etc. In geometry class, we call this the "donkey theorem" (hence the acronym Angle Side Side)
Congruency can only be determined between two regular polygons.
The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
true apex :)
No. The angles must be an included angle, between the sides to guarantee congruence. For an example. imagine a triangle with two equal sides and a 60 degree angle between them and another triangle with the same two equal sides and a 120 degree angle between them.
These are all congruency tests for triangles. S=side A=angle R=right angle H=hypotenuse Take one of the tests for example. AAS If two angles and one side is the same between two triangles, then the triangles are congruent. A link is provided to the Wikipedia article on congruence. It's really easy to read and understand. And it has drawings, too. (ASA was not included in the list, but it is covered in the Wikipedia post with the other forms.)
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.)
compare and contrast between triangles and a trapezoid