Question

Question 7 of 10

The ancient Greeks were able to construct a perpendicular bisector for a
given line segment using only a straightedge and compass.
O A. True
B. False
SUBMIT

Answer 1

The ancient Greeks were able to construct a perpendicular bisector using only a straightedge and compass.

Step-by-step explanation:

True, the ancient Greeks were able to construct a perpendicular bisector using only a straightedge and compass. They achieved this through a process known as compass and straightedge constructions.

The steps for constructing a perpendicular bisector:

1. Use the compass to draw two arcs of equal radius on each endpoint of the line segment.
2. Connect the two intersection points of the arcs with the straightedge to form a line.
3. Extend the line until it intersects with the line segment, creating the perpendicular bisector.

This method demonstrates the mathematical and geometrical knowledge of the ancient Greeks, particularly in the field of Euclidean geometry.

Learn more about Geometry