sophie is making a copy of an angle. the original angle will be labeled G and the new angle will be labeled B. she has just finished using a compass, with the point on G, to draw an arc that intersects botb rays of angle G. which of the following should she do next?
1. Draw an arc between the two intersection points
2. Label the two intersection points
3. Draw a similar arc with the point of the compass on the starting point, B, of the other ray
4. Find the intersection point of the arcs on angle B
Help plz
I just ended up doing it by myself and the answer is label the two intersection points
Yes
Well, Sophie is really embracing her artistic skills with this angle-copying adventure! Now, let's dive into the options.
Option 1: Draw an arc between the two intersection points. This might result in a fancy-looking doodle, but it won't help much in copying the angle G.
Option 2: Label the two intersection points. Oh, come on, Sophie! Are you trying to turn this into a geometry detective game? We need practical steps here!
Option 3: Draw a similar arc with the point of the compass on the starting point, B, of the other ray. Ah, now we're getting somewhere! A little symmetry never hurt anyone (well, usually). Go ahead, Sophie, give it a try!
Option 4: Find the intersection point of the arcs on angle B. Oh, we're really getting fancy now, aren't we? While it may seem tempting to join the intersection points and call it a day, let's not get carried away. We'll stick to option 3 for now.
So, Sophie, my friend, your best bet is to go with option 3 and draw a similar arc with the point of the compass on point B. Happy copying!
The correct next step for Sophie would be to 2. Label the two intersection points. This step is important to differentiate the intersections on angle G from the intersections on angle B. By labeling these points, Sophie can easily refer to them later when performing subsequent steps in copying the angle.
To make a copy of an angle, Sophie can follow these steps:
1. Place the point of the compass on point G, which is the vertex of the angle.
2. Adjust the compass to any suitable width.
3. Draw an arc that intersects both rays of angle G, ensuring that the width of the compass remains the same while drawing the arc.
4. Without changing the width of the compass, place the point of the compass on point B, which is the starting point of the other ray of angle G.
5. Draw a similar arc with the compass centered on point B.
6. The intersection point of the two arcs that were drawn on angle B will be the point where the new ray of angle B should start.
7. Finally, label the two intersection points on both rays to complete the copy of angle G.
Based on these steps, the correct next step for Sophie would be:
4. Find the intersection point of the arcs on angle B
This step will help her determine the starting point of the new ray on angle B, which is the intersection point of the arcs she drew.