This involves knowledge of congruency theorems of triangles.
Option C; SSS
- In the Image given to us, we see that we are only shown if sides are equal but not told about the angles.
- Now, we can see that FC is equal to FD due to the Double dash on both lines indicating that they are equal to each other in length.
- Similarly, EC = ED due to the single dash on both lines showing us that they have equal length.
- Both triangles CFE and DFE share the same third side FE.
- This means that the 3 sides of triangle CFE are equal to the corresponding 3 sides of triangle DFE.
This is a proof of SSS(side-side-side) theorem that states that if all the 3 sides of a triangle are equal in length to the 3 corresponding sides of a second triangle, then the two triangles are said to be congruent.
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