Question

lesson 6 practice problems

1. which of the following constructions would help to construct a line passing through point c that is perpendicular to the line ab?

a. construction of an equilateral triangle with one side ab
b. construction of a hexagon with one side bc
c. construction of a perpendicular bisector through c
d. construction of a square with one side ab

Explanation:

To construct a line through point \( C \) perpendicular to line \( AB \), the relevant construction is creating a perpendicular line through \( C \). A perpendicular bisector through \( C \) directly achieves this by ensuring the line is perpendicular to \( AB \) and passes through \( C \). Other options (equilateral triangle, hexagon, square) do not focus on perpendicularity from \( C \) to \( AB \).

Answer:

C. Construction of a perpendicular bisector through C