Answer:
Step-by-step explanation:
In triangle ABC and triangle AED:
angle CAB = angle DAE
AB = AE
angle CBA = angle DEA
So triangle ABC ~= triangle AED (ASA)
Some methods for proving two triangles who are congruent to each other:
1. SSS This means side-side-side, when two triangles have the absolutely same length of their three sides, they are congruent.
2. SAS This means side-angle-side, when two triangles have two adjacent sides that are equal, and the angle those two sides made is also equal, you can prove that they are congruent
3. ASA This means angle-side-angle, when two triangles have two adjacent angles that are equal, and the side between these two angles are also equal, you can prove that they are congruent.
4. AAS This means angle-angle-side, when two triangles have two adjacent angles that are equal, and any one of sides that are not between them is also equal, then you can prove these two triangles are congruent.
5. HL This one can only be used in two right triangles. If you can prove that their hypotenuse are equal, and one of their square edge is also equal, you can prove that they are congruent.
You do not have to prove these 5 methods above when solving math problems, if your teacher asks you where you get this from, tell him/her that you get this from a Chinese friend:)
Hope this will help:)