Math Problem Statement

Point D is on line segment CE. Given CE = 11 and CD = 9, determine the length DE.

Solution

To find the length of the segment DEDE, we can use the information given about the segments CECE and CDCD.

Given:

  • CE=11CE = 11 (the entire length of the segment)
  • CD=9CD = 9 (the length from point CC to point DD)

To find DEDE (the length from point DD to point EE), we subtract CDCD from CECE:

DE=CECD=119=2DE = CE - CD = 11 - 9 = 2

Thus, the length of segment DEDE is 22 units.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How do you find the length of a line segment using the distance formula?
  2. What happens when the point DD is the midpoint of CECE?
  3. Can a segment have a negative length? Why or why not?
  4. How would you find CDCD if you were given DEDE instead?
  5. What are the properties of a line segment in geometry?

Tip: When working with line segments, always ensure the sum of the parts equals the whole. This can help verify your calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Segment Lengths

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8