Math Problem Statement

Identify two segments that are marked congruent to each other on the diagram below. (Diagram is not to scale.)

Solution

In the diagram, you are asked to identify two segments that are marked congruent to each other. Congruent segments are typically marked with the same number of tick marks or slashes.

Observations:

  • Segment GF and segment CD both have double slashes, indicating they are congruent.

So, the correct answer is: GF is congruent to CD.

Would you like more details on why these segments are congruent, or do you have any questions?

Here are some related questions for further practice:

  1. What other pairs of congruent segments or angles can you identify in similar diagrams?
  2. How are congruent angles marked in a diagram, and how does this differ from congruent segments?
  3. Can you explain how the Pythagorean theorem might apply to a diagram with right angles?
  4. What types of geometric figures are commonly used in congruence problems, and why?
  5. How do you distinguish between similar and congruent figures in a geometry problem?

Tip:

Always check the markings on a diagram carefully—parallel lines, congruent segments, and angles all have distinct indicators!

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Math Problem Analysis

Mathematical Concepts

Congruence
Geometry
Line Segments

Formulas

-

Theorems

Congruent Segments Theorem

Suitable Grade Level

Grade 8-10