2: Construct a Congruent Angle
Construct a congruent angle
Given
Construct: An angle congruent to
General notes: To start over, press your browser's refresh button.
Procedure:
1. Select the Ray tool. Draw ray DE such that point D is in the lower left of the construction window, and point E is in the lower right.
3. Select the compass tool.
4. Click point B (it'll be an endpoint of your radius).
5. Click point A (it'll be the center of your circle).
6. Move the compass and click point B to be the center of your circle.
7. Select the Intersect tool and mark point F where your circle intersects the longer side of .
8. Click point D as the center where you place the congruent circle.
9. Select the Intersect tool and mark point G where your circle intersects ray DE.
10. Select the Compass tool.
11. Anchor your compass at point F. Open its radius to point A. Translate this circle to be centered at point G.
12. Use the intersect tool to mark where circle D intersects with circle G.
13. Use the ray tool to create ray DH.
14. Use the angle tool to measure both angles to confirm that step 13 is true.
Remember:
- Given info: red
- Arcs utilized in construction: green
- The final construction: blue