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How many lines in a plane could be perpendicular bisectors of a segment?
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How are perpendicular lines different from a intersecting lines?
They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
What have perpendicular line segment?
parallel lines
What are the three lines of symmetry on an equilateral triangle?
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
How many lines are therein a space that are perpendicular bisectors of a given segment?
one
Are perpendicular bisectors in triangles lines?
Yes
How are perpendicular lines different from a intersecting lines?
They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.
What are perpendicular bisectors of a triangle?
It is only applicable to a right angle triangle where the perpendicular lines meet at 90 degrees
Why does a line segment have one midpoint and can have many bisectors?
A bisector is a line (or line segment) which passes through the midpoint. You can have multiple lines intersect at this one point, and all of them will bisect the original line segment, since they pass through its midpoint. A perpendicular bisector passes through the midpoint, and also is perpendicular to the original line segment, so there will be only one of those.
What have perpendicular line segment?
parallel lines
What are the three lines of symmetry on an equilateral triangle?
They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!
Will the perpendicular bisectors of a right triangle always intersect?
yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)
Is the segment where perpendicular lines intersect?
Any two intersecting lines (including perpendicular lines) will intersect at a single point.
A shape that has 4 lines of symmerty?
A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.
Do two perpendicular lines intersect at the segment?
yes they do
What is special about the diagonal lines of a Rhombus?
They bisect each other at 90 degrees. They are the perpendicular bisectors of each other.
