Have you ever had the need to draw an angle identical to that seen in a book? If so, this guide will show you how to build a congruent angle starting from a given angle.
Steps
Step 1. Locate the angle graph you want to reconstruct
Let's say you need to rebuild an ABC corner.
Step 2. Draw point M, the vertex of the new corner you are going to trace
Do this anywhere near the original corner design.
Step 3. Draw the radius MN
Use the direction and length you want. The drawn segment will be one of the two sides of the new corner.
Step 4. Place the tip of the compass at point B, the vertex of the original angle
Set an opening of the compass as desired, making sure it is less than the length of the two sides BA and BC.
Step 5. Draw an arc that intersects both sides of the original angle (BA and BC)
The two intersection points found will be point X and point Y.
Step 6. Without changing the compass opening, place the needle at point M, the vertex of the new angle
Step 7. Draw an arc that intersects the MN side of the new corner
The point found call it F.
Step 8. Set the compass opening to match the distance between the X and Y points of the original angle
Step 9. Place the tip of the compass at point F of the new corner
Draw a new arc that intersects the arc drawn in step 7. The new intersection point created will be point G.
Step 10. Draw the line ML starting from the vertex M and passing through the point G
Step 11. Look at your finished drawing
The new angle LMN is congruent to the original angle ABC.
