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Which of these is the definition of a perpendicular bisector?
a line or segment that is perpendicular to the given segment and divides it into two congruent segments
What is the difference between a perpendicular bisector and a angle bisector?
A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.
Did the ancient greek require a straightedge and protractor to construct a perpendicular bisector for a given line segment?
Maybe, but a straight edge and a pair of compasses would have probably been used to construct a perpendicular line bisector for a given line segment.
To find the segment perpendicular to a given segment and through a given point fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold?
True!!(Apex) make sure the question matches 100%..
What are secondary parts of a triangle in geometry?
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.the secondary parts are at the bottom.the secondary parts of the trianglemedian - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sideangle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite sidealtitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite sideperpendicular bisector - a line whose points are equidistant from the endpoints of the given side.incenter - the point of concurrency of the three angle bisectors of the trianglecentroid - the point of concurrency of the three medians of the triangleorthocenter - the point of concurrency of the three altitudes of the trianglecircumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle .by merivic lacaya and acefg123ZNNHS Student. Toronto university student
How many lines in a plane could be perpendicular bisectors of a segment?
In a plane, there are infinitely many lines that can serve as perpendicular bisectors of a given segment. The unique perpendicular bisector of a segment is a specific line that divides the segment into two equal parts at a right angle. However, any line parallel to this unique bisector, at any distance, can also be considered a perpendicular bisector if it intersects the segment at its midpoint. Thus, while the unique perpendicular bisector exists, an infinite number of lines can be drawn parallel to it.
What constructions can be accomplished with paper folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
What constructions can be accomplished paper folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
What constructions can be accomplishments with paper-folding?
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
Which of these is the definition of a perpendicular bisector?
a line or segment that is perpendicular to the given segment and divides it into two congruent segments
How many perpendicular bisectors are there in any given triangle?
3 and they meet in a single point called Circumcentre
What is the difference between a perpendicular bisector and a angle bisector?
A perpendicular bisector is a line that divides a given line segment into halves, and is perpendicular to the line segment. An angle bisector is a line that bisects a given angle.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
Describe two ways to construct a segment that is perpendicular to a given segment?
There are two ways to construct a segment. One way is drawing the perpendicular bisector, the second is with a ruler.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertices of two?
Equilateral triangles
What does a perpendicular bisector do?
A perpendicular bisector [for a given line segment] is a line that meets it at 90 degrees and divides it into two halves.
In the construction of a perpendicular bisector to a given line segment the perpendicular bisector passes through the vertex of two?
equilateral triangles
