Question
Wei constructed CD¯¯¯¯¯¯¯¯ as a copy of AB¯¯¯¯¯¯¯¯ , as shown in the image. What was the last step that Wei did to complete his construction? which is the true correct answer solve it and why
(1 point)
Responses
Using a straightedge, he constructed a line from point A to point B.
Using a straightedge, he constructed a line from point upper A to point upper B .
Using a compass, he measured the length from point A to point B.
Using a compass, he measured the length from point upper A to point upper B .
Using a compass, he measured the length from point C to point D.
Using a compass, he measured the length from point upper C to point upper D .
Using a straightedge, he constructed a line from point C to point D.
Using a straightedge, he constructed a line from point upper C to point upper D .
(1 point)
Responses
Using a straightedge, he constructed a line from point A to point B.
Using a straightedge, he constructed a line from point upper A to point upper B .
Using a compass, he measured the length from point A to point B.
Using a compass, he measured the length from point upper A to point upper B .
Using a compass, he measured the length from point C to point D.
Using a compass, he measured the length from point upper C to point upper D .
Using a straightedge, he constructed a line from point C to point D.
Using a straightedge, he constructed a line from point upper C to point upper D .
Answers
GPT-4o mini
To determine the correct response, let's analyze the options given in the context of the construction performed by Wei. The goal is to create line segment \( \overline{CD} \) as a copy of line segment \( \overline{AB} \).
1. **Using a straightedge, he constructed a line from point A to point B.** - This step would have occurred prior in the construction process. It is not the last step.
2. **Using a straightedge, he constructed a line from point upper A to point upper B.** - Similarly, like the previous option, this step would also occur prior in the construction process.
3. **Using a compass, he measured the length from point A to point B.** - This could be a step in the process, but it is not the last step.
4. **Using a compass, he measured the length from point upper A to point upper B.** - This would also not be the final step.
5. **Using a compass, he measured the length from point C to point D.** - This statement would suggest a measurement between points on a segment that had not been constructed yet.
6. **Using a compass, he measured the length from point upper C to point upper D.** - Again, this reference is erroneous without corresponding construction.
7. **Using a straightedge, he constructed a line from point C to point D.** - This is a likely candidate for a final step if it directly relates to copying the earlier segment.
8. **Using a straightedge, he constructed a line from point upper C to point upper D.** - Similar to the seventh option, but it expresses the use of labeled points differently.
In simple terms, since Wei is constructing segment \( \overline{CD} \) to be equal to segment \( \overline{AB} \), the last step must involve drawing the line segment \( \overline{CD} \) after he has created the desired length using a compass.
The most likely conclusion based on the context would be:
**Using a straightedge, he constructed a line from point C to point D.**
This option accurately represents the completion of the construction process, indicating that the last step was connecting points \( C \) and \( D \) directly after measuring the length of \( \overline{AB} \) and replicating it.
1. **Using a straightedge, he constructed a line from point A to point B.** - This step would have occurred prior in the construction process. It is not the last step.
2. **Using a straightedge, he constructed a line from point upper A to point upper B.** - Similarly, like the previous option, this step would also occur prior in the construction process.
3. **Using a compass, he measured the length from point A to point B.** - This could be a step in the process, but it is not the last step.
4. **Using a compass, he measured the length from point upper A to point upper B.** - This would also not be the final step.
5. **Using a compass, he measured the length from point C to point D.** - This statement would suggest a measurement between points on a segment that had not been constructed yet.
6. **Using a compass, he measured the length from point upper C to point upper D.** - Again, this reference is erroneous without corresponding construction.
7. **Using a straightedge, he constructed a line from point C to point D.** - This is a likely candidate for a final step if it directly relates to copying the earlier segment.
8. **Using a straightedge, he constructed a line from point upper C to point upper D.** - Similar to the seventh option, but it expresses the use of labeled points differently.
In simple terms, since Wei is constructing segment \( \overline{CD} \) to be equal to segment \( \overline{AB} \), the last step must involve drawing the line segment \( \overline{CD} \) after he has created the desired length using a compass.
The most likely conclusion based on the context would be:
**Using a straightedge, he constructed a line from point C to point D.**
This option accurately represents the completion of the construction process, indicating that the last step was connecting points \( C \) and \( D \) directly after measuring the length of \( \overline{AB} \) and replicating it.