Sure, let's go through the detailed steps for this construction:
### Step-by-Step Construction
1. Obtain Plywood:
- Start with a piece of plywood that has dimensions of 30 centimeters by 30 centimeters.
2. Understanding Units:
- We need to establish a scale where 2 centimeters is equivalent to 1 unit. This means that every unit on your scale will represent 2 centimeters in actual length.
3. Locate Starting Point:
- Decide on a starting point on the plywood where you will begin drawing the line segment. Let’s label this point as point [tex]\( A \)[/tex].
4. Draw the Line Segment:
- From point [tex]\( A \)[/tex], draw a line segment that has a length of 1 unit as per the scale we established. Since 1 unit is equivalent to 2 centimeters, the line segment [tex]\( AB \)[/tex] will have a length of 2 centimeters.
- Use a ruler to measure 2 centimeters from point [tex]\( A \)[/tex] to determine the location of point [tex]\( B \)[/tex].
5. Label the Points:
- Once you have drawn the line segment, label the end points as [tex]\( A \)[/tex] and [tex]\( B \)[/tex]. Ensure that the distance between points [tex]\( A \)[/tex] and [tex]\( B \)[/tex] is exactly 2 centimeters, corresponding to 1 unit on your scale.
After completing these steps, you should have a piece of plywood with dimensions 30 cm by 30 cm and a line segment [tex]\( AB \)[/tex] that is 2 centimeters long, representing a length of 1 unit with the given scale.
