Math Problem Statement
Which picture shows intersecting lines that are not perpendicular?
Solution
The question asks to identify the picture that shows intersecting lines that are not perpendicular.
- Perpendicular lines intersect at a right angle (90 degrees).
- Non-perpendicular intersecting lines intersect at any angle other than 90 degrees.
Let's evaluate the images:
- A: Shows two lines that are parallel and do not intersect.
- B: Shows two lines that are parallel and do not intersect.
- C: Shows two lines that intersect at a right angle (perpendicular).
- D: Shows two lines that intersect but are not at a right angle.
Thus, the correct answer is D, as the lines intersect but are not perpendicular.
Would you like a detailed explanation on perpendicularity or have any questions?
Here are 5 related questions:
- What is the difference between parallel and perpendicular lines?
- Can two intersecting lines ever be parallel?
- How can we calculate the angle between two intersecting lines?
- What are the properties of perpendicular bisectors in geometry?
- How do skew lines differ from parallel and perpendicular lines?
Tip: When identifying perpendicular lines, always check if they form a 90-degree angle at the point of intersection.
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Math Problem Analysis
Mathematical Concepts
Geometry
Intersecting Lines
Perpendicularity
Formulas
-
Theorems
Perpendicularity Theorem
Suitable Grade Level
Grades 5-7