In this video, let's discuss the SS congruence criteria.
All right, say your given triangle, ABC.
Now, what does SS stand for?
Its side included angle and side.
So that is your given two sides of this triangle and you are given and included angle.
Say, for example, you're given the measure of site B, C as five centimeter, the measure of side
A, B as six centimeter.
And you're given this angle over here.
Six hundred degrees, for example.
All right.
So you're given two sides and the included angle between those two sides.
That's what we mean with SS criteria.
All right.
Now, to establish that this is a valid congruence criteria, all we need to check is whether we can
draw a copy of Triangle ABC just having these three pieces of information.
If that is true, if we can draw one triangle without any ambiguity with just these three measures and
that triangle is an exact copy of triangle ABC, then S.A.S. is a valid congruence criteria.
Let's check it over here.
We have the measure of BK's five centimeter.
So let me draw a line segment over here such that this is also five centimeter.
All right.
Now we know this angle is hundred degrees.
So let me construct an angle over here such that this measure is equal to a hundred degrees.
Right.
All right.
And now let me take my compass.
If the sharp edge at point R and draw an arc with radius six centimeter such that it cuts this line
segment over here.
So it cuts it over here.
And let's mark that point as point B and join P to Q So in this way we have successfully drawn a copy
of the given triangle ABC as p r q This means if we have two triangles and we know that two sides are
equal and the angle between those two sides are equal, then those two triangles are congruent.
That is SS is a valid congruence criteria.
Checking RUO.