Questions: Does the construction demonstrate how to copy an angle correctly using technology?
Transcript text: Does the construction demonstrate how to copy an angle correctly using technology?
Solution
Solution Steps
Step 1: Identify the Given Problem
The problem is to determine if the construction shown demonstrates how to copy an angle correctly using technology.
Step 2: Analyze the Construction
The construction involves two circles and several points. The first circle is centered at point A with points F and G on its circumference. The second circle is centered at point D with points H and E on its circumference. The goal is to determine if the angle at point A (∠FAG) is correctly copied to point D (∠HDE).
Step 3: Compare the Distances and Angles
To copy an angle correctly:
The radius of the first circle (AF = AG) should be equal to the radius of the second circle (DH = DE).
The arc length FG should be equal to the arc length HE.
Final Answer
Yes, the construction demonstrates how to copy an angle correctly using technology if the distances between points F and G were used to create circle H. This ensures that the angle ∠FAG is accurately copied to ∠HDE.