A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.
What is a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
For the two of the given triangles ΔACY and ΔDXB,
- ∠A = ∠D {Alternate Interior Angles}
- ∠DXB = ∠ACY {Alternate Interior Angles}
- AY = YD ⇒ (AX + XY) = (DY + XY) {Given AX=DY}
Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.
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