Math Problem Statement

Identify the second step of constructing congruent segments.

Set the compass to the length of AB¯¯¯¯¯

Draw a ray with endpoint C.

Without changing the compass setting, place the pointed end of the compass on C.

Draw an arc that intersects the ray. Label the point of intersection as D.

Solution

The second step of constructing congruent segments is:

Draw a ray with endpoint C.

Would you like any more details on constructing congruent segments or have other questions?

Here are 5 related questions to deepen your understanding:

  1. What is the purpose of using a compass in constructing congruent segments?
  2. How do you verify that segments are congruent after construction?
  3. What other geometric constructions can be done using a compass and straightedge?
  4. How can you construct a perpendicular bisector of a segment using similar steps?
  5. Why is it important to keep the compass setting unchanged when constructing congruent segments?

Tip: When constructing geometric figures, maintaining the compass setting between steps is crucial to ensure accuracy in measurements and congruence.

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Math Problem Analysis

Mathematical Concepts

Geometry
Geometric Constructions

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9