Math Problem Statement

Which segment is skew to de

Which segment is skew to DE?

Solution

In the given figure, you are asking which segment is "skew" to segment DEDE.

Definition of skew lines: Two lines are said to be skew if they are not parallel and do not intersect. In 3D geometry, skew lines exist on different planes.

Analysis of the figure:

  • DEDE is on the front face of the solid (quadrilateral base ABCDABCD).
  • Skew lines would be lines that are neither parallel to nor on the same plane as DEDE.

Segments on the same plane as DEDE:

  • BCBC, ABAB, and CDCD are all part of the planes that might intersect or be parallel to DEDE.
  • ACAC and BEBE are also not skew, as they could potentially intersect or lie on the same plane as the others.

Skew segment:

  • Segment ABAB is skew to DEDE, as it is neither parallel to DEDE nor intersects it. ABAB and DEDE lie on different planes.

Would you like further clarification or additional details on this problem?

Here are some related questions:

  1. What are the properties of skew lines in 3D geometry?
  2. How can we determine if two lines are parallel or skew?
  3. How do planes affect the relationships between segments?
  4. Can two skew lines be perpendicular?
  5. How does the projection of skew lines differ on a 2D plane?

Tip: When analyzing skew lines, always ensure that the lines lie on different planes and neither intersect nor are parallel.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

3D Geometry
Skew Lines

Formulas

-

Theorems

Definition of Skew Lines

Suitable Grade Level

Grades 8-10