The required reasons for the proof of congruent geometry are mentioned in the explanation part below.
What is congruent geometry?
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Required reason for the proof,
1. ∠1 = ∠3 and 2 = ∠ 4, are given congruent and are equal corresponding angles.
2. ∠1 + ∠ 2, the sum of complementary angles,
3. ∠1+∠2 = ∠3+∠4, the sum of the complementary congruent angles are also equal
4. ∠1 +∠ 2 = ∠ABC and ∠3 +∠4 = ∠DEF, composite angles, shown in figure.
5. ∠ABC = ∠DEF, composite angles are equals because their corresponding complementary angles are also equal.
Thus, the above-mentioned reason is the required reasons.
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