Question

What is the first step in the construction of a line perpendicular to and passing through an external point m? assume that the construction uses only a compass and a straightedge. a. place the compass needle on m and, keeping the compass width the same, draw two arcs that intersect . b. place the compass needle at any point on , and set the compass width to m. c. draw a line from point m passing through , and mark the point of intersection. d. place the compass needle at any two points on , and draw two arcs through m.

Answer 1

The first step in the construction of a line perpendicular to line AB and passing through an external point m is:

a. place the compass needle on m and keeping the compass width the same, draw two arcs that intersect the line AB

What are the steps to construct a perpendicular line from an external point?

To construct a perpendicular line, a compass and a scale are used.

Consider a line AB and an external point M.

Step 1:

Place the compass needle on M and keeping the compass width the same, draw two arcs that intersect the line AB.

Step 2:

Name the two intersecting points on line AB as X and Y.

Draw the arcs from these two points to the opposite side of point M with the same compass width.

Step 3:

Name the intersecting point of two arcs as N.

Draw a line connecting the two points M and N using scale.

Step 4:

Using a protractor, measure the angle of the line MN with the line AB.

The angle must show 90°.

Thus, the line MN perpendicular to line AB and passing through an external point M is constructed.

Learn more about the construction of a perpendicular line here:

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