Question

Jazz 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:Statement Justification Angle 2 =6 Corresponding angles of parallel lines are congruent Angle 2 =4 ?Angle 4 =6transitive property of equality,Angle 2 = 6,Angle 2 = 4,therefore angle 4 = angle 6Which is the missing justification? (6 points)O Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4O Alternate interior angles are congruent O Vertical angles are congruent O Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

Answer 1

SOLUTION:

When two lines intersect, the opposite (X) angles are equal. These X angles are called vertically opposite angles because they are opposite each other at a vertex.

The relationship that justifies the congruency of angle 2 and angle 4 is the option that says vertical angles are congruent (Option B).