Three parallel lines p, q and r are intersected by two transversals l and m at A, B, C and D, E, F respectively
as shown in the figure.
[tex]Prove \: that \: : \: \frac{AB}{BC} = \frac{DE}{EF} .[/tex]
No Spamming !
15❤ = 25❤ surely !
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Three parallel lines p, q and r are intersected by two transversals l and m at A, B, C and D, E, F respectively
as shown in the figure.
[tex]Prove \: that \: : \: \frac{AB}{BC} = \frac{DE}{EF} .[/tex]
No Spamming !
15❤ = 25❤ surely !
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Given:l∥m∥n
l,m and n cut off equal intercepts AB and BC on p
So,AB=BC
To prove:l,m and n cut off equal intercepts DE and EF on q
i.e.,DE=EF
Proof:In △ACF,
B is the mid-point of AC as AB=BC
and BG∥CF since m∥n
So,G is the mid-point of AF using line drawn throught mid-point of one side of a triangle, parallel to another side, bisects the third side.
In △AFD,
G is the mid-point of AF
and GE∥AD since l∥m
So,E is the mid-point of DF using line drawn throught mid-point of one side of a triangle, parallel to another side, bisects the third side.
Since E is the mid-point of DF
DE=EF
Hence proved.
Verified answer
Answer
Given = line P || line Q || line R
l and m are transversal line
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