Question

1. jada wanted to construct a line perpendicular to line ℓ through point c. the diagram shows her construction. what was her mistake?

Explanation:

When constructing a perpendicular line to line $\ell$ through point $C$, the correct method is to use point $C$ as the center of a circle to intersect line $\ell$ at two points, then use those two intersection - points as centers of new circles to find the intersection points for the perpendicular line. In the given diagram, it seems that the circles are not constructed with the correct centers related to point $C$ and line $\ell$ in the proper way for this perpendicular - line construction.

Answer:

The circles were not constructed with the correct centers for constructing a perpendicular line to $\ell$ through point $C$.