Therefore, angle 1 is congruent to angle 2 by the transitive property. Since the 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). solving systems of linear inequalities Please help me answer truth or false for questions It is congruent to itself by the Reflexive Property of Equality. By substitution, A'AB + ABB' = 180º and EAB + ABB'' = 180º. Which sentence accurately completes the proof? Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. The sentence that accurately completes the proof is last choice. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem. Given angle 2 angle 6 a ? 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. Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles … New questions in Mathematics. The converse of same side interior angles theorem proof. 1. Angles BCA and DAC are congruent by the Alternate Interior Theorem. L||n Given: Prove:angle 4 angle 6 Statements Reasons l ll n 1. 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. Give the missing reasons in this proof of the Alternate Interior Angles Theorem. Given: L ll N. Prove:<4 congruent <6. Use the figure and flowchart proof to answer the question:Which theorem accurately completes Reason A? Statements . 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