Question

(from unit 1, lesson 5.) 4. jada wanted to construct a line perpendicular to line ( ell ) through point c. the diagram shows her construction. what was her mistake?

Explanation:

When constructing a perpendicular line to a given line through a point, one of the correct methods is to use two - equal - radius circles centered at two points on the given line. In the correct construction, the points of intersection of the two circles are used to draw the perpendicular line. Here, it seems that the circles were not centered on the given line \(l\) in a way that would allow for the correct perpendicular - line construction. The centers of the circles should be points on line \(l\) such that the circles intersect at two points which can be used to draw the perpendicular through point \(C\).

Answer:

The centers of the circles were not chosen correctly on line \(l\) for constructing a perpendicular line through point \(C\).