lesson 6 practice problems\n1. which of the following constructions would help to construct a line passing…

lesson 6 practice problems\n1. which of the following constructions would help to construct a line passing through point c that is perpendicular to the line ab?\na. construction of an equilateral triangle with one side ab\nb. construction of a hexagon with one side bc\nc. construction of a perpendicular bisector through c\nd. construction of a square with one side ab

Answer

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)