Geometry for Elementary School/Copying an angle

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Geometry for Elementary School
Copying a triangle Copying an angle Constructing a triangle

In this chapter, we will show how to copy an angle to other angle . The construction is based on Book I, proposition 23.

The construction[edit | edit source]

  1. Draw a line between A and C and get .
  2. Copy the triangle and get

Claim[edit | edit source]

The angles and are equal.

Proof[edit | edit source]

  1. The triangles and congruence.
  2. Therefore the angles of the triangles equal.
  3. Hence, and are equal.

Note that any two points on the rays can be used to create a triangle.