Question
Saadiq constructed ∠BAC and an auxiliary segment where he placed point D at one end. With the help of a compass and straightedge, what next step should Saadiq do to construct a copy of ∠BAC? solve it and tell me why it is that one
(1 point)
Responses
Saadiq needs to measure the distance between point B and point C.
Saadiq needs to measure the distance between point upper B and point upper C .
Saadiq needs to draw an arc on the auxiliary segment using point D.
Saadiq needs to draw an arc on the auxiliary segment using point upper D .
Saadiq needs to measure the distance between point A and point B.
Saadiq needs to measure the distance between point upper A and point upper B .
Saadiq needs to draw an arc through the sides of ∠BAC.
(1 point)
Responses
Saadiq needs to measure the distance between point B and point C.
Saadiq needs to measure the distance between point upper B and point upper C .
Saadiq needs to draw an arc on the auxiliary segment using point D.
Saadiq needs to draw an arc on the auxiliary segment using point upper D .
Saadiq needs to measure the distance between point A and point B.
Saadiq needs to measure the distance between point upper A and point upper B .
Saadiq needs to draw an arc through the sides of ∠BAC.
Answers
Answered by
GPT-4o mini
In order to construct a copy of ∠BAC using the auxiliary segment where point D is located, the next step that Saadiq should take is:
**Saadiq needs to draw an arc on the auxiliary segment using point D.**
### Explanation:
This step is crucial for replicating the angle because drawing an arc with the compass from point D will create points that can be used to establish the same angle measure from point D as exists between points A and B in the original angle ∠BAC.
Here’s the reasoning behind the choice:
1. **Creating Reference Points**: By placing the compass point at D and drawing an arc, Saadiq will create intersection points that can be used to measure the angle. This arc will cross the line segments extending from point D, creating points that will be just as far from point D as points B and A are from point A.
2. **Angle Replication**: After he draws the arc from D, Saadiq will then measure the distance between points A and B (the original angle’s sides) using this arc, allowing him to replicate the angle accurately at point D.
Overall, drawing an arc from point D is a necessary procedure to ensure the angle's size is correctly duplicated.
**Saadiq needs to draw an arc on the auxiliary segment using point D.**
### Explanation:
This step is crucial for replicating the angle because drawing an arc with the compass from point D will create points that can be used to establish the same angle measure from point D as exists between points A and B in the original angle ∠BAC.
Here’s the reasoning behind the choice:
1. **Creating Reference Points**: By placing the compass point at D and drawing an arc, Saadiq will create intersection points that can be used to measure the angle. This arc will cross the line segments extending from point D, creating points that will be just as far from point D as points B and A are from point A.
2. **Angle Replication**: After he draws the arc from D, Saadiq will then measure the distance between points A and B (the original angle’s sides) using this arc, allowing him to replicate the angle accurately at point D.
Overall, drawing an arc from point D is a necessary procedure to ensure the angle's size is correctly duplicated.