Wiki User
∙ 11y agoTheorem 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
Wiki User
∙ 11y agoTo prove that the line which divides the nonparallel sides of a trapezium proportionally is parallel to the third side, we can use the property of similar triangles. Let the trapezium ABCD have sides AB and CD as the nonparallel sides, and side BC as the third side. Let the line dividing AB and CD be denoted as EF, with E on AB and F on CD. By the property of similar triangles, we can show that triangles AEF and BCF are similar, and hence their corresponding angles are congruent. This proves that EF is parallel to BC.
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.
One pair of parallel sides, It divides in to smaller shapes
The equator or any of the lines of longitude (which meet at the poles).
A line drawn anywhere around earth creates a hemisphere. There are 4 hemispheres.
1 divides into 121 and 42.
Similar shapes.
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally
Converse of the triangle proportionality theorem APEX :)
The Parallel line that divides the Earth in two is the Equator.Answer by Andres914
The parallel is called the equator.
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.
49th
The equator.
The equator.
equater
Equator
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.