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Prove whether the quadrilateral is a parallelogram using distance formula Q(-10, -2) R(1,-1) S(1,-7) T(-11,-8) 

          Prove whether the quadrilateral is a parallelogram using distance formula 
Q(-10, -2) 
R(1,-1)
S(1,-7)
T(-11,-8)

Added by Kelly P.

Geometry A Common Core Curriculum
Geometry A Common Core Curriculum
Ron Larson, Laurie Boswell 1st Edition
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Prove whether the quadrilateral is a parallelogram using distance formula Q(-10, -2) R(1,-1) S(1,-7) T(-11,-8)
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Directions: Determine whether the quadrilateral is a parallelogram using the indicated method. Q(-10,-2), R(1,-1), S(1, -7), T(-11,-8) (Distance Formula)

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Transcript

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00:01 To prove whether a quadrilateral is a paragraph using the distance formula, you want to find the distance of all sides, and if it's a parallelogram, then the opposite sides are congruent.
00:13 So we would want to find the length of qr, which would be the square root if you're using the distance formula, it would be the difference of the x coordinates between negative 10 and 1.
00:24 There are 11 units, plus the difference of the y coordinates, negative 2 and negative 1.
00:30 There's a difference of 1 squared.
00:33 So that would be 121 plus 1 or the square root of 122.
00:39 Okay, go to the next side, rs would be the square root of the difference between 1 and 1 is 0...
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