The figure shows a construction made using technology.
The construction shows angles CAB and IDE. There is a circle created from point A that intersects with ray AC, creating point F, and ray AB, creating point G. A circle congruent to circle A was created at point D. Circle D intersects with ray DE, creating point H. Another circle was created on point H that has a radius that is congruent to the distance between points F and G. Circle H intersects with circle D, creating point I. A ray was created through points D and I.
Does the construction demonstrate how to copy an angle correctly using technology? Explain why or why not by describing how it was constructed.
Yes, the construction demonstrates how to copy an angle correctly using technology. It follows the basic steps of angle copying, which are as follows:
1. Draw an initial angle: Angles CAB and IDE are drawn as the initial angles in this construction.
2. Create a circle from the vertex of the angle: A circle is created from point A, intersecting with ray AC, creating point F, and ray AB, creating point G.
3. Copy the circle at the vertex: A congruent circle is created at point D, which is the same size as circle A.
4. Intersect the circle with rays: Circle D intersects with ray DE, creating point H.
5. Create another circle with a congruent radius: Another circle is created on point H with a radius that is congruent to the distance between points F and G.
6. Intersect the circles: Circle H intersects with circle D, creating point I.
7. Draw a ray through the vertex and the new point: A ray is created through points D and I.
This construction demonstrates the correct procedure of copying an angle using technology because it follows the basic steps of the construction. Each step is executed accurately and congruent figures are created at each stage. Thus, the final result is a copied angle.