The missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
What is congruence in the triangles?
The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
From the two triangles:
ΔABC and ΔDBE
As we can see in the two triangles, the angle ∠ABC and ∠DBE are the same.
So, by the reflexive property of congruence:
∠ABC ≅ ∠DBE
Thus, the missing step in the proof is ∠ABC ≅ ∠DBE by the reflexive property of congruence option (A) is correct.
Learn more about the congruence in the triangles here:
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