# alternate interior angles theorem proof

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