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:

  1. What is the difference between parallel and perpendicular lines?
  2. Can two intersecting lines ever be parallel?
  3. How can we calculate the angle between two intersecting lines?
  4. What are the properties of perpendicular bisectors in geometry?
  5. 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