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How do you prove the shortest line between two points is the segment that joins them on a plane?
The shortest line between two points is NOT always the segment that joins (or jion) them on a plane: the answer depends on the concept of distance or the metric used for the space. If using a taxicab or Manhattan metric it is the sum of the North-South distance and the East-West distance. There are many other possible metrics.
The proof for a general metric is the Cauchy-Schwartz inequality but this site is totally incapable of dealing with the mathematical symbols required to prove it.
What else can I help you with?
A line segment that joins two nonconsecutive?
A diagonal from a polygon is a line segment that joins two nonconsecutive points.
A line segment that intersects with two points on a circle is called what?
A line segment that intersects with or joins two points on a circle is called a chord.
What does QZ with a line over it mean in math?
That may mean the line segment that joins points labelled Q and Z.
A line segment that joins two vertices of a polygon but is not a side of the polygon?
………………………… is a line segment that joins two vertexof a polygon but is not a side of the polygon.
What is the part of a trapezoid that the segment joins the midpoints of the nonparallel opposite sides?
mid-segment
What is a perpendicular segment that joins the planes of the bases in a prism?
Altitude
What segment joins the midpoints of two sides of a triangle?
the midsegment
What is the line that joins two nonconsecutive points called?
Not sure what two non-consecutive points are. No two points are consecutive in the sense that an infinite number of points can be found between any two points.
A segment that joins the midpoints of two sides of the triangle?
a midsegment of a triangle
What is line segment that joins a point on a circle and its center?
It is the radius of the circle
What is the name of the segment that joins the midpoints of two sides of a triangle?
midsegment
What is a line segment that joins two non-adjacent vertices in a rectangle?
The diagonal joins two non-adjacent vertices in a rectangle.
