17.1 Congruent Segments and Angles (p.376-379)

I. Congruent: Exactly the same is size and shape

A. Segments: Make congruent line segments by using a compass to measure the length of the original line segment and then marking the same distance with your compass on a ray.

Check out this video from hstutorials.net

Here is another technique from mathopenref.com

B. Angles: Build a congruent angles using a straight edge and compass

1. Draw a ray

2. Draw an arc through the original angle

3. Draw the SAME arc through the ray - label the point of intersection

4. Use a compass to measure the distance between the rays in the original angle

5. Using the same compass opening, mark the distance on the arc through the ray

6. Draw a ray from the endpoint in the original ray through the x formed by the arcs in steps 2 and 5

Check out this video form hstutorials.net