Math Problem Statement
what is the answer
What is the total number of lines that are perpendicular to line w?
Solution
To determine the number of lines that are perpendicular to line , we need to observe the relationship between line and the other lines , , and .
- Two lines are perpendicular if they intersect at a right angle (90 degrees).
- Looking at the diagram:
- Line is vertical.
- Line is horizontal, meaning it is perpendicular to because vertical and horizontal lines form 90-degree angles.
- Lines and are diagonal and do not appear to form right angles with line .
Therefore, the only line that is perpendicular to line is line .
Answer: B. 1
Do you want more details or have any questions?
Here are five related questions to expand on this:
- What conditions must two lines satisfy to be perpendicular?
- How can we determine if diagonal lines are perpendicular to a vertical line?
- How would the answer change if line were vertical?
- Can two non-parallel diagonal lines be perpendicular to each other?
- How do we find the angle between two intersecting diagonal lines?
Tip: Always remember that vertical and horizontal lines are perpendicular to each other by definition.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perpendicular Lines
Formulas
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Theorems
Lines are perpendicular if they intersect at a 90-degree angle.
Suitable Grade Level
Grades 6-8