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ચતુષ્કોણ

આપેલી આકૃતિમાં દર્શાવેલ $bold square bold space bold XYZW$ ના સંદર્ભમાં નીચેની માહિતી આપો :

(1) બાજુઓ
(2) ખૂણાઓ
(3) વિકર્ણોના નામ
(4) પાસપાસેની બાજુઓનાં નામ
(5) સામસામેની બાજુઓનાં નામ
(6) પાસપાસેના ખૂણાઓનાં નામ
(7) સામસામેના ખૂણાઓનાં નામ
$open parentheses bold 8 close parentheses bold space bold XW with bold bar on top bold space bold intersection bold space bold YZ with bold bar on top open parentheses bold 9 close parentheses bold space bold YX with bold bar on top bold space bold intersection bold space bold XW with bold left right arrow on top$

(1) $bold square bold space bold XYZW$ ની બાજુઓ $bold XY with bold bar on top bold comma bold space bold YZ with bold bar on top bold comma bold space bold ZW with bold bar on top bold space bold અન ે bold space bold WX with bold bar on top$ છે.

(2) $bold square bold space bold XYZW$ ના ખૂણાઓ $bold angle bold space bold X bold comma bold space bold angle bold space bold Y bold comma bold space bold angle bold space bold Z bold space bold અન ે bold space bold angle bold space bold W$ છે.

(3) $bold square bold space bold XYZW$ ના વિકર્ણો $bold XZ with bold bar on top bold space bold અન ે bold space bold YW with bold bar on top$ છે.

(4) $bold square bold space bold XYZW$ માં પાસપાસેની બાજુઓ નીચે પ્રમાણે છે :

$open parentheses bold i close parentheses bold space bold XY with bold bar on top bold space bold અન ે bold space bold YZ with bold bar on top bold left parenthesis bold ii bold right parenthesis bold space bold YZ with bold bar on top bold space bold અન ે bold space bold ZW with bold bar on top bold left parenthesis bold iii bold right parenthesis bold space bold ZW with bold bar on top bold space bold અન ે bold space bold WX with bold bar on top bold left parenthesis bold iv bold right parenthesis bold space bold WX with bold bar on top bold space bold અન ે bold space bold XY with bold bar on top$

(5) $bold square bold space bold XYZW$ માં સામસામેની બાજુઓ નીચે પ્રમાણે છે :

$open parentheses bold i close parentheses bold space bold XY with bold bar on top bold space bold અન ે bold space bold ZW with bold bar on top open parentheses bold ii close parentheses bold space bold YZ with bold bar on top bold space bold અન ે bold space bold WX with bold bar on top$

(6) $bold square bold space bold XYZW$ માં પાસપાસેના ખૂણાઓ નીચે પ્રમાણે છે :

$open parentheses bold i close parentheses bold space bold angle bold space bold X bold space bold અન ે bold space bold angle bold space bold Y open parentheses bold ii close parentheses bold space bold angle bold space bold Y bold space bold અન ે bold space bold angle bold space bold Z open parentheses bold iii close parentheses bold space bold angle bold space bold Z bold space bold અન ે bold space bold angle bold space bold W open parentheses bold iv close parentheses bold space bold angle bold space bold W bold space bold અન ે bold space bold angle bold space bold X$

(7) $bold square bold space bold XYZW$ માં પાસપાસેના ખૂણાઓ નીચે પ્રમાણે છે :

$open parentheses bold i close parentheses bold space bold angle bold space bold X bold space bold અન ે bold space bold angle bold space bold Z open parentheses bold ii close parentheses bold space bold angle bold space bold Y bold space bold અન ે bold space bold angle bold space bold W$

$open parentheses bold 8 close parentheses bold space bold XW with bold bar on top bold space bold intersection bold space bold YZ with bold bar on top bold space bold equals bold space bold empty set bold left parenthesis bold 9 bold right parenthesis bold space bold YX with bold bar on top bold space bold intersection bold space bold XW with bold left right arrow on top bold space bold equals bold space open curly brackets bold X close curly brackets$

$bold square bold space bold ABCD$ માં $bold angle bold space bold A bold comma bold space bold angle bold space bold B bold comma bold space bold angle bold space bold C bold space bold અન ે bold space bold angle bold space bold D$ નાં માપ 2 : 5 : 6 : 7ના પ્રમાણમાં હોય, તો $bold square bold space bold ABCD$ ના દરેક ખૂણાનું માપ શોધો.

bold square bold space bold PQRS

માં જો

bold m bold space bold angle bold space bold P bold space bold equals bold space bold 2 bold x bold comma bold space bold m bold space bold angle bold space bold Q bold space bold equals bold space bold 3 bold x bold comma bold space bold m bold space bold angle bold space bold R bold space bold equals bold space bold 4 bold x bold space bold અન ે bold comma bold space bold m bold space bold angle bold space bold S bold space bold equals bold space bold 6 bold x bold comma bold space bold ત ો bold space bold square bold space bold PQRS

ના દરેક ખૂણાનુ માપ શોધો.

$bold square bold space bold ABCD$ માં જો $bold m bold space bold angle bold space bold A bold space bold equals bold space bold m bold space bold angle bold space bold B bold space bold equals bold space bold 70 bold comma bold space bold m bold space bold angle bold space bold C bold space bold equals bold space bold 100$ હોય, તો $bold m bold space bold angle bold space bold D$ શોધો.

$bold square bold space bold ABCD$ માં $bold angle bold space bold A bold comma bold space bold angle bold space bold B bold comma bold space bold angle bold space bold C bold space bold અન ે bold space bold angle bold space bold D$ નાં માપ 10 : 7 : 12 : 7ના પ્રમાણમાં હોય, તો $bold square bold space bold ABCD$ ના દરેક ખૂણાનું માપ શોધો.

bold square bold space bold PQRS bold space bold equals bold space bold square bold space bold PSQR

છે ? કારણ આપો.

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