Question

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

Answer 1

Question:

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

Answer:

The following statements are true

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent

D.Each pair of alternate interior angles is congruent.

Step-by-step explanation:

When straight lines intersect, vertical angles appear.

Vertical angles are ALWAYS equal in measure,

whether the lines are parallel or not.They  share the same Vertex

Two angles, one in the interior and one in the exterior, that are on the same side of the traversal are Known as Corresponding angles. Corresponding angles are non-adjacent and congruent.

Alternate interior angles are two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate interior angles are non-adjacent and congruent.