Question

how do we construct a perpendicular line through the marked point

Answer 1

What tools/methods do you have available? Algebra? Geometric construction? Analytic geometry?

Answer 2

construction

Answer 3

Using straight edge and compass only?

Answer 4

yep only compass

Answer 5

point of compass at point, extend pencil past line and draw arc that intersects the given line in two points

Answer 6

then place compass at one of those intersection points and start pencil at given point and draw a large arc. Do the same from other intercept. Those two new arcs will intersect at two points. Connect those points with a straight line and that line will be perpendicular to the given line and pass through the given point.
Q.E.F.

Answer 7

wats the intersection points????

Answer 8

That method cheats a little since Euclid's postulates state that you can only create a radius for your compass by using the endpoints of a line segment that already exist, but their other other postulates that you can assume were previously accepted and proceed without proof.

Answer 9

The intersection points of where your compass arc passes through the given line.

Answer 10

ok thnx :)

Answer 11

perpendicular to?

Answer 12

i dont get u ?

Answer 13

perpendicularity requires two objects,
two lines can be perpendicular to each other
meaning the angle between them is a right angle

Answer 14

thnx