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