If two parallel lines are cut by a transversal, which of the following pairs of angles are always equal?
Practice Questions
1 question
Q1
If two parallel lines are cut by a transversal, which of the following pairs of angles are always equal?
Alternate interior angles
Corresponding angles
Consecutive interior angles
All of the above
When two parallel lines are cut by a transversal, alternate interior angles and corresponding angles are equal, while consecutive interior angles are supplementary. Therefore, the correct answer is 'All of the above'.
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 always equal?
Solution: When two parallel lines are cut by a transversal, alternate interior angles and corresponding angles are equal, while consecutive interior angles are supplementary. Therefore, the correct answer is 'All of the above'.
Steps: 5
Step 1: Understand what parallel lines are. Parallel lines are two lines that never meet and are always the same distance apart.
Step 2: Learn 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 parallel lines. This creates several angles, including alternate interior angles, corresponding angles, and consecutive interior angles.
Step 4: Know the properties of these angles: Alternate interior angles are equal, corresponding angles are equal, and consecutive interior angles add up to 180 degrees (they are supplementary).
Step 5: Conclude that when two parallel lines are cut by a transversal, the pairs of angles that are always equal are alternate interior angles and corresponding angles.
