To construct a square with sides of length AB, we can follow these steps:
1. Draw a straight line segment AB of length A-B using a ruler.
2. Place the point of a compass on point A and open it to the distance of A-B.
3. Without changing the compass width, place the point of the compass on point B and draw an arc above and below the line segment AB.
4. Label the two points where the arcs intersect the line segment as C and D.
5. Using a ruler, draw a straight line segment from point C to point D, creating a perpendicular bisector of line segment AB.
6. Extend the line segment CD beyond points C and D.
7. Using a ruler, draw a straight line segment from point B to intersect the extended line segment CD at point E.
8. Finally, use a ruler to draw two more straight line segments from points A and E to the point of intersection between the extended line segment CD and line segment AB. These line segments should be perpendicular to line segment AB.
9. The resulting figure ABCDE is a square with sides of length AB.
Note: Your teacher will grade your response to ensure you receive proper credit for your answers.
Given Modifying above Upper A Upper B with bar, explain how to construct a square with sides of length AB.
(4 points)
1 answer