Question

What is the best next step in the construction of a line that passes through point B and is perpendicular to line a?

A. Use a straightedge to draw a line through points B and E.
B. Use a straightedge to draw a line through points C and E.
C. Use a straightedge to draw a line through points B and D.
D. Use a straightedge to draw a line through points B and C.

Answer 1

Option: A is the correct answer.

A. Use a straightedge to draw a line through points B and E.

Explanation:

Perpendicular bisector--

It is a line that is perpendicular to the given line and the point where it intersects the given line segment is the mid-point of the line i.e. the perpendicular line bisects the line segment into two equal parts.

• In the given figure if we join B and E point with the help of a straightedge then the line so obtained will be perpendicular to CD and it also divides CD into two equal parts.

Answer 2

The compass was used to make the crossing arcs at point E and point B is labeled, so the next step would be :

A. Use a straight edge to draw a line through points B and E.