Congruent triangles 1

The  exercise appears under the Geometry Math Mission. This exercise reinforces the idea of congruency via various triangles.

Types of Problems
There is one type of problem in this exercise:


 * 1) Determine if the triangles are congruent: This problem provides two triangles and some labeled information. The student is asked to determine if the given information is sufficient to conclude if the triangles are congruent or not.Contri1-1.png

Strategies
Knowledge of congruency postulates would ensure accuracy on this exercise, but many of the specific cases can be solved by observation.
 * 1) The basic properties of triangle angle sums and isosceles triangles are needed on this exercise.
 * 2) If two triangles look very different, they are not congruent.
 * 3) The correct congruency postulates are SSS, SAS, ASA, AAS and (HL).
 * 4) AAA and SSA are not congruency postulates, so since alternate triangles can be formed, the conclusion is that there is not enough information to tell. (Even if they "appear" the same).

Real-life Applications

 * 1) Recognizing when shapes are congruent, and conditions that ensure congruency, is an important skill in drafting and architecture.