Question

Danny draws a transversal, t, on two parallel lines AB and CD, as shown below:

He makes the following table to prove that the alternate interior angles are equal:

Which is the missing justification? (6 points)


Corresponding angles formed by a transversal on parallel lines are supplementary.

Corresponding angles formed by a transversal on parallel lines are congruent.

Co-interior angles formed by a transversal on parallel lines are congruent.

Co-exterior angles formed by a transversal on parallel lines are congruent.

Answer 1

Corresponding angles formed by a transversal on parallel lines are congruent.

Answer 2

Answer: second option.

Explanation:

When two parallel lines are intersected by a third line (which is called "Transversal"), the angles that are of the same side of the transversal (but one located in interior and the other one located in the exterior), are known as "Corresponding angles".

Corresponding angles are congruent.

You can observe that the angle 2 and the angle 6 are Corresponding angles. Therefore, the missing justification is: "Corresponding angles formed by a transversal on parallel lines are congruent."