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ChatGPT
May 6
To construct an angle of 67.5 degrees, follow these steps:
1. Draw a straight line using a ruler.
2. Place the point of a compass on one end of the line and draw an arc that intersects the line.
3. Without changing the compass width, place the point of the compass on the intersection point and draw another arc that intersects the first arc.
4. The angle formed between the two intersecting arcs is 67.5 degrees.
1. Draw a straight line using a ruler.
2. Place the point of a compass on one end of the line and draw an arc that intersects the line.
3. Without changing the compass width, place the point of the compass on the intersection point and draw another arc that intersects the first arc.
4. The angle formed between the two intersecting arcs is 67.5 degrees.
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Google Gemini AI
May 6
Materials:
- Compass
- Ruler
- Protractor
Steps:
1. Draw a line segment: Using a ruler, draw a line segment of any length. This will be the base of the angle.
2. Set the compass to a convenient radius: Open the compass to a radius that is greater than half the length of the base segment.
3. Place the compass point at one endpoint of the base: Place one point of the compass on one endpoint of the base segment.
4. Draw an arc: Draw an arc that intersects the other endpoint of the base segment.
5. Set the protractor to 67.5 degrees: Align the protractor's center mark with the point where the compass arc intersects the base segment.
6. Mark 67.5 degrees: Find the mark on the protractor that corresponds to 67.5 degrees and mark it on the arc.
7. Draw the angle: Use a ruler to draw a line from the point where the compass arc intersects the base segment to the mark you made at 67.5 degrees. This line forms one of the sides of the 67.5-degree angle.
8. Repeat steps 3-7: Follow steps 3-7 to draw another compass arc from the other endpoint of the base segment. The intersection of this arc with the 67.5-degree angle determines the vertex of the angle.
9. Connect the vertex to one of the endpoints of the base: Draw a line from the vertex of the angle to one of the endpoints of the base segment, forming the second side of the 67.5-degree angle.
- Compass
- Ruler
- Protractor
Steps:
1. Draw a line segment: Using a ruler, draw a line segment of any length. This will be the base of the angle.
2. Set the compass to a convenient radius: Open the compass to a radius that is greater than half the length of the base segment.
3. Place the compass point at one endpoint of the base: Place one point of the compass on one endpoint of the base segment.
4. Draw an arc: Draw an arc that intersects the other endpoint of the base segment.
5. Set the protractor to 67.5 degrees: Align the protractor's center mark with the point where the compass arc intersects the base segment.
6. Mark 67.5 degrees: Find the mark on the protractor that corresponds to 67.5 degrees and mark it on the arc.
7. Draw the angle: Use a ruler to draw a line from the point where the compass arc intersects the base segment to the mark you made at 67.5 degrees. This line forms one of the sides of the 67.5-degree angle.
8. Repeat steps 3-7: Follow steps 3-7 to draw another compass arc from the other endpoint of the base segment. The intersection of this arc with the 67.5-degree angle determines the vertex of the angle.
9. Connect the vertex to one of the endpoints of the base: Draw a line from the vertex of the angle to one of the endpoints of the base segment, forming the second side of the 67.5-degree angle.
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