Which of the diagrams shows perpendicular lines?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Which of the diagrams shows perpendicular lines?
Let's remember that perpendicular lines form a 90-degree angle between them.
To check if the lines form a 90-degree angle, for each of the drawings a T is drawn at the intersecting point of the lines.
Let's examine figure A:
Note that the lines do not form a right angle.
Let's examine figure B:
We notice that the lines form a 90-degree angle and therefore are perpendicular.
Let's examine figure C:
Note that the lines do not form a right angle.
Let's examine figure D:
Note that the lines do not form a right angle.
What do the four figures below have in common?
Use the T-test method! Draw a small T-shape at the intersection point. If the horizontal line of the T fits perfectly between the two lines without gaps or overlaps, they're perpendicular.
Not always! While a + shape shows perpendicular lines, they can also form an upside-down T, sideways T, or rotated cross. The key is the 90-degree angle, not the orientation.
All perpendicular lines intersect, but not all intersecting lines are perpendicular! Intersecting just means they cross somewhere. Perpendicular means they cross at exactly 90 degrees.
No! By definition, perpendicular lines must intersect (touch) at exactly one point. If lines don't intersect, they're either parallel or skew, never perpendicular.
The small square symbol at an intersection is the universal mark for a right angle (90°). It's a quick visual way to show that two lines are perpendicular without measuring.
Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime