Math Problem Statement

Guided Practice 3: Steps for Constructing a Copy of an Angle Instructions: Match each step with the correct ordered description for how to construct a copy of an angle.

Solution

To construct a copy of an angle, follow these steps, matched with their correct ordered descriptions:

  1. Draw a ray: Begin by drawing a ray (let’s call it ray AB) that will serve as one side of the copied angle.

  2. Identify the vertex: Mark the vertex of the angle you want to copy (let's call this point O).

  3. Place the compass: Place the compass point on vertex O and draw an arc that intersects both sides of the angle (label the points of intersection as C and D).

  4. Measure the distance: Without changing the compass width, move the compass to ray AB and mark a point (label this point E) along the ray.

  5. Transfer the arcs: From point E, draw an arc that intersects ray AB. Mark the intersection point as F.

  6. Draw the angle: Finally, draw a ray from point E through point F. This ray represents the copied angle.

If you have specific options for the steps or need further clarification on any part of the process, feel free to share!

Questions for Further Exploration:

  1. Why is it important to keep the compass width the same during the process?
  2. How can you ensure accuracy in your angle copying?
  3. What other geometric constructions use similar techniques?
  4. How would you copy an angle that is obtuse?
  5. Can this method be used for angles greater than 180 degrees?

Tip: Always label your points clearly to avoid confusion during the construction!

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Construction
Compass and Straightedge

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7