If two parallel lines are cut by a transversal, which of the following pairs of angles are equal?
Practice Questions
1 question
Q1
If two parallel lines are cut by a transversal, which of the following pairs of angles are equal?
Alternate interior angles
Corresponding angles
Consecutive interior angles
Both A and B
Both alternate interior angles and corresponding angles are equal when two parallel lines are cut by a transversal.
Questions & Step-by-step Solutions
1 item
Q
Q: If two parallel lines are cut by a transversal, which of the following pairs of angles are equal?
Solution: Both alternate interior angles and corresponding angles are equal when two parallel lines are cut by a transversal.
Steps: 6
Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
Step 2: Know what a transversal is. A transversal is a line that crosses two or more other lines.
Step 3: Identify the angles formed when a transversal cuts through two parallel lines. This creates several angles.
Step 4: Learn about alternate interior angles. These are the angles that are on opposite sides of the transversal and inside the parallel lines. They are equal.
Step 5: Learn about corresponding angles. These are the angles that are in the same position on each parallel line relative to the transversal. They are also equal.
Step 6: Conclude that when two parallel lines are cut by a transversal, both alternate interior angles and corresponding angles are equal.
