Based on the figure, which pair of triangles is congruent by the side angle side postulate?
(my guess is c)
a: triangle abe and triangle bec
b: triangle abc and triangle ebc
c: triangle bce and triangle dce
d: triangle acb and triangle ecd

Hi there!

The side angle side postulate states that two triangles are congruent if 2 sides and an included angle on each triangle are congruent. If you take a look at the diagram, there are quite a few triangles. You have to imagine pulling each set of triangles out and looking at the markings. For this question, the correct answer is D - Triangle ACB and Triangle ECD. This is because if you look at EC and AC, they both have one line on them, meaning that they are congruent. The same goes for CB and CD.

Hope this helps!! :)
If something doesn't make sense about my answer or you need help with another problem, please let me know!