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Prove that the line which divides the nonparallel sides of a trapezium proportionally is parallel to the third side.?
Theorem 3 : Any line parallel to the sides of a trapezium (trapezoid) divides the non-parallel sides proportionally.
Given : ABCD is a trapezoid. DC AB. EF AB and EF DC.
Prove that : AE/ED = BF/FC
Construction : Join AC, meeting EF in G.
StatementsReasons1) EG DC1) Given (in ΔADC)2) AE/ED = AG/GC2) By Basic proportionality theorem3) GF AB3) Given (in ΔABC)4) AG/GC = BF/FC4)By Basic proportionality theorem5) AE/ED = BF/FC5) From (2) and (4)
Source: ask-math.com
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Which proportionally theorem is described by a line parallel to one side of a triangle divides the other two sides?
The theorem you are referring to is the Basic Proportionality Theorem, also known as Thales' Theorem. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on those two sides are in the same ratio as the lengths of the sides of the triangle.
What parallel lines divides the earth into 2 equal parts?
The Equator divides the Earth into the Northern Hemisphere and the Southern Hemisphere. Lines of latitude are parallel to the Equator both to the north and to the south.
What are all the characteristics of a trapezoid?
One pair of parallel sides, It divides in to smaller shapes
What parallel divides Earth into two equal parts?
The equator or any of the lines of longitude (which meet at the poles).
What parallel line divides the earth into two equal parts?
A line drawn anywhere around earth creates a hemisphere. There are 4 hemispheres.
What is defined by a line that divides two sides of a triangle proportionally then it is parallel to the third?
Similar shapes.
What is the Side-Splitter Theorem?
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally
Which proportionally theorem is described by a line parallel to one side of a triangle divides the other two sides?
The theorem you are referring to is the Basic Proportionality Theorem, also known as Thales' Theorem. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on those two sides are in the same ratio as the lengths of the sides of the triangle.
Which of the following is defined by a line parallel to one side of a triangle divides the other two sides proportionally?
Converse of the triangle proportionality theorem APEX :)
What parallel line divides the earth in two?
The Parallel line that divides the Earth in two is the Equator.Answer by Andres914
What parallel divides the earth into 2 equal parts?
The parallel is called the equator.
What parallel divides the earth into half?
The Equator is the parallel that divides the Earth into two equal halves - the Northern Hemisphere and the Southern Hemisphere. It is located at 0 degrees latitude.
How many lines of symmetry does a trapezium have?
A trapezium can have either 0 or 1 line of symmetry, depending on its specific shape. If the trapezium is a parallelogram, it will have one line of symmetry, which is the line that divides the shape into two equal halves. However, if the trapezium is not a parallelogram, it will have no lines of symmetry, as there is no way to divide it into two equal halves through a single line.
What parallel divides the Earth in two equal parts?
The equator.
What parallel of latitude divides much of Canada from the us?
49th
What parallel divides the earth into northern and southern halves?
Equator
What parallel divides th earth into equal parts?
equater
