Question

Which are side lengths of quadrilateral PQRS? Check all the apply.

Answer 1

the answer includes the middle-three options

Explanation:

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Answer 2

2nd , 3rd and 4th option are correct.

Explanation:

Given Coordinates of the Vertex of the Quadrilateral,

P( 0 , 4 ) , Q( 2 , 4 ) , R( 2 , -2 ) and S( -2 , 1 )

We need to find length of the Quadrilateral.

We know the distance formula of two points,

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Now, using this formula

`PQ=√((2-0)^2+(4-4)^2)=√(2^2+0)=2\:units`

`QR=√((2-2)^2+(4-(-2))^2)=√(0+6^2)=6\:units`

`RS=√((2-(-2))^2+(-2-1)^2)=√(4^2+(-3)^2)=√(16+9)=√(25)=5\:units`

`SP=√((-2-0)^2+(1-4)^2)=√((-2)^2+(-3)^2)==√(4+9)=√(13)\:units`

Therefore, 2nd , 3rd and 4th option are correct.