Math, asked by george97, 10 months ago

What do you think of a parallelogram

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Answered by Anonymous

Answer:

Proof that diagonals bisect each other[edit]. Parallelogram ABCD. To prove that the diagonals of a parallelogram bisect each otheryou were to go around this shape in a clockwise direction starting at ∠B, you would next get to ∠E. Those two angles are consecutive.we have a parallelogram where all sides are congruent then we have what is called a rhombus.Parallelogram. A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Answered by Anonymous

$\huge{\blue{\fbox{\purple{\bigstar{\mathbf{\red{hello\:mate}}}}}}}$

$\red{PARALLELOGRAM}$

ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪs ᴀ ᴛᴡᴏ-ᴅɪᴍᴇɴsɪᴏɴᴀʟ ɢᴇᴏᴍᴇᴛʀɪᴄᴀʟ sʜᴀᴘᴇ, ᴡʜᴏsᴇ sɪᴅᴇs ᴀʀᴇ ᴘᴀʀᴀʟʟᴇʟ ᴡɪᴛʜ ᴇᴀᴄʜ ᴏᴛʜᴇʀ. ɪᴛ ɪs ᴍᴀᴅᴇ ᴜᴘ ᴏғ ғᴏᴜʀ sɪᴅᴇs, ᴡʜᴇʀᴇ ᴛʜᴇ ᴘᴀɪʀ ᴏғ ᴘᴀʀᴀʟʟᴇʟ sɪᴅᴇs ᴀʀᴇ ᴇϙᴜᴀʟ ɪɴ ʟᴇɴɢᴛʜ. ᴀʟsᴏ, ᴛʜᴇ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ ᴇϙᴜᴀʟ ᴛᴏ ᴇᴀᴄʜ ᴏᴛʜᴇʀ. ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴅᴇᴘᴇɴᴅs ᴏɴ ᴛʜᴇ ʙᴀsᴇ ᴀɴᴅ ʜᴇɪɢʜᴛ ᴏғ ɪᴛ.

ɪɴ ɢᴇᴏᴍᴇᴛʀʏ, ʏᴏᴜ ᴍᴜsᴛ ʜᴀᴠᴇ ʟᴇᴀʀɴᴇᴅ ᴀʙᴏᴜᴛ ᴍᴀɴʏ 2ᴅ sʜᴀᴘᴇs ᴀɴᴅ sɪᴢᴇs sᴜᴄʜ ᴀs ᴄɪʀᴄʟᴇ, sϙᴜᴀʀᴇ, ʀᴇᴄᴛᴀɴɢʟᴇ, ʀʜᴏᴍʙᴜs, ᴇᴛᴄ. ᴀʟʟ ᴏғ ᴛʜᴇsᴇ sʜᴀᴘᴇs ʜᴀᴠᴇ ᴀ ᴅɪғғᴇʀᴇɴᴛ sᴇᴛ ᴏғ ᴘʀᴏᴘᴇʀᴛɪᴇs. ᴀʟsᴏ, ᴛʜᴇ ᴀʀᴇᴀ ᴀɴᴅ ᴘᴇʀɪᴍᴇᴛᴇʀ ғᴏʀᴍᴜʟᴀs ᴏғ ᴛʜᴇsᴇ sʜᴀᴘᴇs ᴠᴀʀʏ ᴡɪᴛʜ ᴇᴀᴄʜ ᴏᴛʜᴇʀ, ᴜsᴇᴅ ᴛᴏ sᴏʟᴠᴇ ᴍᴀɴʏ ᴘʀᴏʙʟᴇᴍs. ʟᴇᴛ ᴜs ʟᴇᴀʀɴ ʜᴇʀᴇ ᴛʜᴇ ᴅᴇғɪɴɪᴛɪᴏɴ, ғᴏʀᴍᴜʟᴀs ᴀɴᴅ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ.

ᴛᴀʙʟᴇ ᴏғ ᴄᴏɴᴛᴇɴᴛs:

ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴅᴇғɪɴɪᴛɪᴏɴ

ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ɪs ᴀ ϙᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ᴡɪᴛʜ ᴛᴡᴏ ᴘᴀɪʀs ᴏғ ᴘᴀʀᴀʟʟᴇʟ sɪᴅᴇs. ᴛʜᴇ ᴏᴘᴘᴏsɪᴛᴇ sɪᴅᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ ᴇϙᴜᴀʟ ɪɴ ʟᴇɴɢᴛʜ ᴀɴᴅ ᴛʜᴇ ᴏᴘᴘᴏsɪᴛᴇ ᴀɴɢʟᴇs ᴀʀᴇ ᴇϙᴜᴀʟ ɪɴ ᴍᴇᴀsᴜʀᴇ.

ᴛʜᴇʀᴇ ᴀʀᴇ ᴍᴀɪɴʟʏ ғᴏᴜʀ ᴛʏᴘᴇs ᴏғ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴅᴇᴘᴇɴᴅɪɴɢ ᴏɴ ᴠᴀʀɪᴏᴜs ғᴀᴄᴛᴏʀs. ᴛʜᴇ ғᴀᴄᴛᴏʀs ᴡʜɪᴄʜ ᴅɪsᴛɪɴɢᴜɪsʜ ʙᴇᴛᴡᴇᴇɴ ᴀʟʟ ᴏғ ᴛʜᴇsᴇ ᴅɪғғᴇʀᴇɴᴛ ᴛʏᴘᴇs ᴏғ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ ᴀɴɢʟᴇs, sɪᴅᴇs ᴇᴛᴄ.

ɪɴ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ, sᴀʏ ᴘϙʀs

ɪғ ᴘϙ = ϙʀ = ʀs = sᴘ ᴀʀᴇ ᴛʜᴇ ᴇϙᴜᴀʟ sɪᴅᴇs, ᴛʜᴇɴ ɪᴛ’s ᴀ ʀʜᴏᴍʙᴜs. ᴀʟʟ ᴛʜᴇ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴀʀᴇ ᴛʜᴇ sᴀᴍᴇ ғᴏʀ ʀʜᴏᴍʙᴜs ᴀs ғᴏʀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ.

ᴏᴛʜᴇʀ ᴛᴡᴏ sᴘᴇᴄɪᴀʟ ᴛʏᴘᴇs ᴏғ ᴀ ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴀʀᴇ:

ʀᴇᴄᴛᴀɴɢʟᴇ

sϙᴜᴀʀᴇ

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What do you think of a parallelogram​

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ᴘᴀʀᴀʟʟᴇʟᴏɢʀᴀᴍ ᴅᴇғɪɴɪᴛɪᴏɴ

What do you think of a parallelogram