Determine whether triangles are similar using the SSS criterion

The  exercise appears under the Geometry Math Mission. This exercise practices recognizing similar triangles.

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


 * 1) Determine which triangles are similar: This problem has three triangles, one as a reference and the other two for comparison. The student is asked to determine which, if any, of the triangles are similar to the reference triangle.Simtri2-1.png

Strategies
Knowledge of similarity postulates, specifically SSS, along with basic triangle theorems are encouraged to ensure success on this exercise.
 * 1) If all three sides are in a common ratio with each other, then the triangles are similar.
 * 2) To increase efficiency, triangles are drawn as close to scale as possible. In other words, if the triangles look like they are different shapes, they are not similar.
 * 3) It is possible to find the ratio of similarity between triangles by "dividing" by an appropriate common factor and multiply up to get the desired value.

Real-life Applications

 * 1) Triangle similarity is the foundation of trigonometry and it's multitude of applications in the sciences.