Congruent Triangles

Introducing the FANTASTIC:

Congruent Triangles

Congruent Triangles are just a fancy mathematical term for two completely equal triangles this need to be proven for it to work, there are formulas to prove congruent triangles here are them: SSS SAS ASA HL.

Example:

If AB=A'B' and ∠BAC=∠B'A'C' (∠stands for angle)and AC=A'C'

Are triangle A and B congruent Triangles? 

Answer:

Because of the information given above the SAS works for this triangle because S stands for side and A stands for angle. Side Angle Side look at the triangles above AB and A'B' are a side and so are AC and A'C', with the angles BAC and B'A'C' tucked in the middle (that is important not to get any other angles)

HL is a little bit more complicated here is an example:

CB=C'B' AB=A'B'

Answers: The answer to this we can use the formula HL the H is hypotenuse

which is an angle that doesn't touch the right angle and the L stands for leg which is a side that touches the right angle, if a hypotenuse and a leg is equal in right angle triangles then they are congruent triangles.

I have just covered a tiny bit to solving congruent triangle problems, there are more complicated problems that involves other strategies and formulae. Hope you get the basic understanding of what congruent triangles are!

discovered by Ben Z