Question

In the figure below, AB is parallel to CD. 12 43 B А 56 87 D c Which statement proves that Z327? If two parallel lines are cut by a transversal, the alternate interior angles are congruent. Olf two parallel lines are cut by a transversal, the alternate exterior angles are congruent. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two parallel lines are cut by a transversal, the vertical angles are congruent.

Answer 1

The statement in option 3 is true to prove that angle 3 is congruent to angle 7

What are correponding angles

Corresponding angles are pairs of angles formed when a straight line intersects two parallel lines.

In this context, corresponding angles are located in corresponding positions at each intersection point. These angles are congruent, meaning they have the same measure.

Angles 3 and 7 are in the same corresponding position hence they are congruent by corresponding angles

Answer 2

If two parallel lines are cut by a transversal, the corresponding angles are congruent.

Explanation:

When the angles are the same side as the transversal, one interior and one exterior, but not adjacent.

The angles are on the same side of the transversal in "corresponding" positions.

When the lines are parallel, the measurements are equal. Therefore:

`<3\cong<7`