From concept of congruent triangles, DE ≅ CE can be proved.
What are congruent triangles ?
Two triangles are said to be congruent if all three corresponding sides are equal and the values of all the three angles are also equal in measure. These triangles look identical in any orientation of rotation and if repositioned, they superimpose with each other.
How to prove corresponding sides are congruent using concept of congruent triangle ?
In the given problem, considering triangles ΔADC and ΔBDC,
- AD ≅ BC (Given in problem statement)
- ∠BCD = ∠ADC (Given in problem statement)
- DC = DC (Common sides in both the triangles)
Therefore by (Side-Angle-Side axiom), triangles ΔADC and ΔBDC are congruent.
For any congruent triangles, any corresponding side of both the triangles are also congruent.
Thus DE ≅ CE (Proved)
Thus from the concept of congruent triangles, we prove the result that DE ≅ CE .
To learn more about congruent triangles , refer -
https://brainly.com/question/27069878
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