Trigonometry/Exercise: Congruent Triangles




 * Label the vertices as shown in the diagram on the right.
 * Now list the triangles using the letters at the corners, for example $$\triangle ADE$$ is a triangle. The symbol '$$\triangle$$' before the $$\displaystyle ADE$$ is just read as 'triangle'.  You should put the symbol before the triangles you list, so your list might start:
 * $$\displaystyle \triangle ACE, \triangle ADE,$$


 * Now, which of the triangles you have listed are congruent to each other?
 * Which of the triangles you have listed are similar to each other but are not congruent?
 * Do any of the triangles have an obtuse angle (an angle greater than 90 degrees)?