Corresponding vertical angles


Asked by maham237 @ in Mathematics viewed by 287 People


Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles. Then, by which property are angles 4 and 5 congruent? Together, these statements prove which theorem? A) Transitive Property of Congruency; If parallel lines have a transversal, then supplemental angles are congruent. B) Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent. C) Symmetric Property of Congruency; If parallel lines have a transversal, then alternate exterior angles are congruent. D) Commutative Property of Congruency; If parallel lines have a transversal, then same side interior angles are congruent.

Answered by maham237 @



Answer:

Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.


The Transitive Property of Congruency:

If 2 angles are congruent to a third angle, then they are congruent to each other. So, since angles 4 and 5 are both congruent to angle 1, they are congruent to each other.


Angles 4 and 5 are alternate interior angles. Therefore, if parallel lines have a transversal, alternate interior angles are congruent.


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