If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Theorem 3-4 Same-Side Exterior Angles Theorem If a transversal intersects two parallel lines, then same-side exterior angles are supplementary. Theorem 3-5 Converse Alternate Interior Angles Theorem ASA congruence criterion states that if two angle of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent. Note: Refer ASA congruence criterion to understand it in a better way.
The angle bisector theorem is commonly used when the angle bisectors and side lengths are known. It can be used in a calculation or in a proof. An immediate consequence of the theorem is that the angle bisector of the vertex angle of an isosceles triangle will also bisect the opposite side. Proofs Proof 1 Acute Angle. Acute Triangle. Addition Rule. Additive Inverse of a Matrix. Additive Inverse of a Number. Additive Property of Equality. Adjacent. Adjacent Angles. Adjoint, Classical. Adjugate. Affine Transformation. Aleph Null (א 0) Algebra. Algebraic Numbers. Algorithm. Alpha . Alternate Angles. Alternate Exterior Angles: Alternate Interior ...
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