Same-Side Interior Angles Theorem. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Given: L ll N. Prove:<4 congruent <6. L||n Given: Prove:angle 4 angle 6 Statements Reasons l ll n 1. A proof of the common geometric theorem showing that when lines are parallel, alternate interior angles are congruent. Give the missing reasons in this proof of the Alternate Interior Angles Theorem. The sentence that accurately completes the proof is last choice. 1. Converse of Alternate Interior Angles Theorem Proof. Proving that angles are congruent: If a transversal intersects two parallel lines, then the following angles are congruent (refer to the above figure): Alternate interior angles: The pair of angles 3 and 6 (as well as 4 and 5) are alternate interior angles. Proof. New questions in Mathematics. Which sentence accurately completes the proof? The converse of same side interior angles theorem proof. Converse of the alternate interior angles theorem 1 m 5 m 3 given 2 m 1 m 3 vertical or opposite angles 3 m 1 m 5 using 1 and 2 and transitive property of equality both equal m 3 4 1 5 3 the definition of congruent angles 5 ab cd converse of the corresponding angles theorem. Figure 1: Congruent alternate interior angles imply parallel Theorem 1.1 (Alternate Interior Angle Theorem). Since the Statements . Let l;m be two lines cut by a transversal t … By substitution, A'AB + ABB' = 180º and EAB + ABB'' = 180º. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent. Give the missing reasons in this proof of the alternate interior angles theorem. solving systems of linear inequalities Please help me answer truth or false for questions angle 6 angle 4 c ? 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