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:

Step1: Analyze each option

We need to find a construction for a perpendicular - line.

Step2: Evaluate option A

Constructing an equilateral triangle with side \(AB\) has no direct relation to constructing a perpendicular line from \(C\) to \(AB\).

Step3: Evaluate option B

Constructing a hexagon with side \(BC\) is not relevant to constructing a perpendicular line from \(C\) to \(AB\).

Step4: Evaluate option C

The construction of a perpendicular bisector through \(C\) to a line segment (if we consider a segment related to \(AB\) and \(C\)) can be used to construct a line through \(C\) perpendicular to \(AB\). This is a valid construction method.

Step5: Evaluate option D

Constructing a square with side \(AB\) does not directly help in constructing a perpendicular line from \(C\) to \(AB\).

Answer:

C. Construction of a perpendicular bisector through \(C\)