Math, asked by gaurav26032006, 6 months ago

find the type of quadrilateral , if its vertices are (1, 4), (-5, 4), (-5, -3), (1,-3) ​

Answers

Answered by kritikanyaloct209gre
2

Answer:

it is rectangle shaped

Answered by charupandey30
3

1,4=A

-5,4=B

-5,-3=C

1,-3=D

Now,

AB=√(1-(-5))^2+(4-4)^2

=√36+0

=6

BC=√(-5-(-5))^2+(4-(-3)^2

=√0+49

=7

DC=√(-5-1)^2+(-3-(-3))^2

=√36+0

= 6

DA=√(1-1)^2+(-3-4)^2

=√0+49

=7

These are the sides of quadrilateral

Now,Diagonals AC and BD

AC=√(1-(-5))^2+(4-(-3))^2

=√36+49

=√85

BD=√(-5-1)^2+(4-(-3))^2

=√36+49

=√85

As we can see Diagonals are equal

Hence,The quadrilateral is rectangle

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