Question

1. 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 should start by placing the compass on the given point. Then, draw arcs that intersect the given line at two distinct points. After that, from those two intersection - points, draw arcs of equal radius on the opposite side of the point. The line connecting the given point and the intersection of these two new arcs is the perpendicular line. In the shown construction, it seems that the arcs were not drawn in the correct way starting from the point \(C\) to intersect the line \(\ell\) first. Instead, it looks like circles were drawn with centers not related to the correct construction steps from point \(C\) to the line \(\ell\).

Answer:

The construction did not follow the correct steps for constructing a perpendicular line from a point to a line. The arcs were not drawn in the proper sequence starting from point \(C\) to intersect line \(\ell\) first and then using those intersection points to create the perpendicular - related arcs.