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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 A and F. 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.

Respuesta :

Answer:The construction described does not demonstrate the correct way to copy an angle using technology. Here is an explanation detailing the construction steps and why it does not accurately copy the angle:

Construction Steps:

1. A circle is created from point A, intersecting ray AC at point F and ray AB at point G.

2. A circle congruent to circle A is created at point D, intersecting ray DE at point H.

3. A circle is created at point H with a radius congruent to the distance between points A and F, intersecting circle D at point I.

4. A ray is drawn through points D and I.

Explanation:

- The construction described involves creating circles and intersections to form points F, G, H, and I, but it does not follow the standard method of copying an angle using technology.

- To copy an angle correctly using technology, the standard approach involves using a compass and a straightedge to replicate the angle's size and orientation.

- In the construction provided, the process focuses on creating circles and intersections, which do not align with the traditional method of angle construction.

- The construction lacks the essential steps of angle copying, such as aligning the compass to measure the angle and transferring that measurement accurately to another location.

In conclusion, while the described construction involves geometric elements like circles and intersections, it does not demonstrate the correct method for copying an angle using technology. Angle copying typically involves specific steps with a compass and straightedge to ensure accurate replication of angles.

Step-by-step explanation: