It is congruent to itself by the Reflexive Property of Equality. angle 6 angle 4 c ? Give the missing reasons in this proof of the alternate interior angles theorem. Figure 1: Congruent alternate interior angles imply parallel Theorem 1.1 (Alternate Interior Angle Theorem). angle angle 2 b.? 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. Converse of Alternate Interior Angles Theorem Proof. 1. It states that Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. solving systems of linear inequalities Please help me answer truth or false for questions _____. New questions in Mathematics. Let l;m be two lines cut by a transversal t … Angles BCA and DAC are congruent by the Alternate Interior Theorem. The sentence that accurately completes the proof is last choice. 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. Converse alternate interior angles theorem states that if two lines and a transversal form alternate interior angles … Given angle 2 angle 6 a ? So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem. The converse of same side interior angles theorem proof. We see that Angle 2 is congruent to Angle 3 by the alternate interior angles theorem. A proof of the common geometric theorem showing that when lines are parallel, alternate interior angles are congruent. Statements . Same-Side Interior Angles Theorem. If two distinct lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are par-allel. Use the figure and flowchart proof to answer the question:Which theorem accurately completes Reason A? Therefore, angle 1 is congruent to angle 2 by the transitive property. Give the missing reasons in this proof of the Alternate Interior Angles Theorem. L||n Given: Prove:angle 4 angle 6 Statements Reasons l ll n 1. By substitution, A'AB + ABB' = 180º and EAB + ABB'' = 180º. Given: L ll N. Prove:<4 congruent <6. Since the Which sentence accurately completes the proof? Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Proof. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent. Prove: angle 4 angle 6 Statements reasons l ll N. Prove: < congruent... Substitution, A'AB + ABB ' = 180º: l ll n 1 alternate interior angles congruent! 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