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Is the apothem always a perpendicular bisector of each side of a polygon?
Wiki User
∙ 11y ago
yes
Wiki User
∙ 11y ago
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The apothem is a perpendicular bisector of each side of a regular polygon?
always
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
If a point lies on the perpendicular bisector of a segment then the point is always equidistant from the endpoints of the segment?
true
What is the formula of an apothem?
The apothem of a regular polygon? well lets look at the math behind it before i recall it... you can scroll down to the bottom of the page if you don't want to read this. the formula is on the bottom of the page * A regular polygon is made up of a sequence of isoceles triangles.. * How do we know that they are isoceles? ------1)the triangles that make up a regular polygon are congruent -------2)the radii are always congruent . the radii of a regular polygon goes from it's center to the vertices...(hint:think of a circle's radius) * due to the fact that you have isoceles triangles they have to be made by angle bisectors through the regular polygon otherwise they couldn't be congruent * okay now that we know that the triangles are isoceles we also know that the apothem is an angle bisector so it cuts the measurement of a side in half. lets use j for our the measurement of our side. * okay we got the angle measures and our apothem made two congruent triangles so now we can use trig ratios to find our apothem so the formula is a=0.5j(tan [n-2]*180/2n) where n is the # of sides and j is the measurement of a side or you can simplify that to a=0.5j(tan [n-2]*90/n) i am using degrees for my angle meausure by the way
What polygon always has a right angle?
Any polygon with 4 or more sides can always have a right angle.
The apothem is a perpendicular bisector of each side of a regular polygon?
always
Is the radius of a regular polygon always greater than the apothem?
yes the radius of a regular polygon is always greater than the apothem
Is a protractor necessary to construct a perpendicular bisector?
Not always because a perpendicular bisector can be constructed with compasses
Does a line segment bisector always be perpendicular to the original irie?
Not sure what an "irie" is. But a bisector does not need to be perpendicular.
Is the altitude of a triangle always the perpendicular bisector?
No.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?
iscoceles triangle! =)
What triangle must always have at least one angle bisector that is also a perpendicular bisector?
any isosceles triangle
Must a bisector of a segment always be a perpendicular line?
Not always because the diagonals of a rectangle bisect each other but they are not perpendicular to each other.
Polygon where the diagonals are always perpendicular?
Squares.
If a point lies on the perpendicular bisector of a segment then the point is always equidistant from the endpoints of the segment?
true
Describe an apothem in a regular polygon?
An apothem is the red segment in the diagram (Figure1). B is the center point of the hexagon, and the blue line are radii of the polygon. An apothem is always from the center of the polygon, to the outside, and it is always perpandicular to the side it is touching. You find the area of any polygonwith this equation: (.5) n a s In the formula, n= number of sides, a= the length of the apothem, and s= the length of any given side. Figure1: seehttp://education.yahoo.com/homework_help/math_help/solutionimages/minigeogt/10/1/1/minigeogt_10_1_1_14_90/f-548-17-1.gifHope I helped!!!
