Question

1. to construct a line passing through the point c that is parallel to the line ab, the first step is to create a line through c perpendicular to ab. what is the next step? a. construct an equilateral triangle with side cd. b. construct a line through point b perpendicular to ab. c. construct a segment with the same length as ab with endpoint c. d. construct a line through point c perpendicular to cd.

Explanation:

To construct a line parallel to AB through C, after constructing a line through C perpendicular to AB (say CD), the next step is to construct a line through C perpendicular to CD. This new - constructed line will be parallel to AB based on the properties of perpendicular and parallel lines in geometry.

Answer:

D. Construct a line through point C perpendicular to CD.