Math, asked by piyushkedar75, 4 months ago

using opposite angles test of paralleogram, prove that every rectangle is parellogram

Answers

Answered by rajeshks7351
5

Question↴↴

ᴜsɪɴɢ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs ᴛᴇsᴛ ᴏғ ᴘᴀʀᴀʟʟᴇᴏɢʀᴀᴍ, ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ᴇᴠᴇʀʏ ʀᴇᴄᴛᴀɴɢʟᴇ ɪs ᴘᴀʀᴇʟʟᴏɢʀᴀᴍ

Answer↴↴

Let ABCD a rectangle

Angle A= Angle B= Angle C= Angle D=90°

For any quadrilateral to be a parallelogram, pair of opposite angles should be congruent.

Angle A= Angle C = 90°

Angle B = Angle D= 90°

Thus, rectangle ABCD is a parallelogram.

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