Question

1 which of the following constructions would help to construct a line passing through point c that is perpendicular to the line ab in this diagram? 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 2 two distinct lines l and m are each perpendicular to the same line n. select all the true statements. a lines l and m are perpendicular. b lines l and n are perpendicular. c lines m and n are perpendicular. d lines l and m are parallel. e lines l and n are parallel. f lines m and n are parallel.

Explanation:

Step1: Analyze option A

Constructing an equilateral triangle with side AB doesn't help in constructing a line through C perpendicular to AB.

Step2: Analyze option B

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

Step3: Analyze option C

Constructing a perpendicular bisector through C can be used to construct a line passing through C perpendicular to AB. This is the correct construction method.

Step4: Analyze option D

Constructing a square with side AB doesn't directly help in constructing a line through C perpendicular to AB.

Step5: Analyze question 2

If two lines l and m are each perpendicular to the same line n, then by the perpendicular - parallel relationship in a plane, lines l and m are parallel, and lines l and n are perpendicular, and lines m and n are perpendicular.

Answer:

1. C. construction of a perpendicular bisector through C
2. B. Lines l and n are perpendicular.

C. Lines m and n are perpendicular.
D. Lines l and m are parallel.