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CBSE Class 10 Answered

Name the type of quadrilateral formed by points (-1,-2) (1,0) (-1,2) (-3,0) and give reasons for your answer
Asked by geethanjali467 | 01 Apr, 2020, 09:29: AM
answered-by-expert Expert Answer
Let the points be A(-1,-2), B(1,0), C(-1,2) and D(-3,0)
A B equals square root of open parentheses negative 1 minus 1 close parentheses squared plus open parentheses negative 2 minus 0 close parentheses squared end root equals square root of 4 plus 4 end root equals 2 square root of 2 B C equals square root of open parentheses 1 plus 1 close parentheses squared plus open parentheses 0 minus 2 close parentheses squared end root equals square root of 4 plus 4 end root equals 2 square root of 2 C D equals square root of open parentheses negative 1 plus 3 close parentheses squared plus open parentheses 2 minus 0 close parentheses squared end root equals square root of 4 plus 4 end root equals 2 square root of 2 A D equals square root of open parentheses negative 1 plus 3 close parentheses squared plus open parentheses negative 2 minus 0 close parentheses squared end root equals square root of 4 plus 4 end root equals 2 square root of 2 rightwards double arrow A B equals B C equals C D equals A D S i d e s space o f space a space q u a d r i l a t e r a l space a r e space e q u a l. S o comma space A B C D space i s space a space r h o m b u s space o r space a space s q u a r e. N o w comma space A C equals square root of open parentheses negative 1 plus 1 close parentheses squared plus open parentheses negative 2 minus 2 close parentheses squared end root equals square root of 4 squared end root equals 4 B D equals square root of open parentheses 1 plus 3 close parentheses squared plus open parentheses 0 minus 0 close parentheses squared end root equals square root of 4 squared end root equals 4 S i n c e comma space l e n g t h space o f space t h e space d i a g o n a l space a r e space e q u a l. H e n c e comma space A B C D space i s space a space s q u a r e.
Answered by Renu Varma | 01 Apr, 2020, 10:48: AM

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