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

alternate interior angles theorem proof 2021