Proving Quadrilateral is a parallelogram (Different Theorem)

Last updated at April 16, 2024 by Teachoo

Transcript

Theorem 8.8
A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel.
Given : ABCD is a quadrilateral
where AB CD & AB = CD
To Prove : ABCD is a Parallelogram
Proof :
Given AB CD
with transversal AC.
BAC = DCA
In ADC & CBA
AB = CD
BAC = DCA
AC = CA
ADC CBA
Hence, DA = BC
Thus, In ABCD,
Both pairs of opposite sides are equal
ABCD is a Parallelogram.
Hence proved

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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