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? which is the true correct answer solve it and tell me why
(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
To construct a copy of ∠BAC using a compass and straightedge, the correct next step for Saadiq is:
**Saadiq needs to draw an arc on the auxiliary segment using point D.**
### Explanation:
1. **Understanding the Construction of an Angle Copy:**
- When you want to replicate an angle ∠BAC, you typically start by placing a point (like point D) on a line where you want to construct the new angle.
- Using a compass, you can draw an arc that intersects the two sides of the given angle (BA and CA) at points (let's call them E and F). This arc will help transfer the angle's measure.
2. **Why the Other Options Are Not Suitable:**
- Measuring the distance between points B and C (or A and B) is not necessary at this step since constructing the angle copy requires only the relationship defined by the arc.
- The last option, "Saadiq needs to draw an arc through the sides of ∠BAC," refers to a step that should have been done prior to this phase, as it implies using a compass to transfer the angle directly rather than placing it on the auxiliary line.
Overall, drawing an arc using point D will allow Saadiq to appropriately set the size of the angle to be copied, as it will facilitate marking the corresponding points on the new ray formed at D.
**Saadiq needs to draw an arc on the auxiliary segment using point D.**
### Explanation:
1. **Understanding the Construction of an Angle Copy:**
- When you want to replicate an angle ∠BAC, you typically start by placing a point (like point D) on a line where you want to construct the new angle.
- Using a compass, you can draw an arc that intersects the two sides of the given angle (BA and CA) at points (let's call them E and F). This arc will help transfer the angle's measure.
2. **Why the Other Options Are Not Suitable:**
- Measuring the distance between points B and C (or A and B) is not necessary at this step since constructing the angle copy requires only the relationship defined by the arc.
- The last option, "Saadiq needs to draw an arc through the sides of ∠BAC," refers to a step that should have been done prior to this phase, as it implies using a compass to transfer the angle directly rather than placing it on the auxiliary line.
Overall, drawing an arc using point D will allow Saadiq to appropriately set the size of the angle to be copied, as it will facilitate marking the corresponding points on the new ray formed at D.