Question

Giving quadrilateral a(2,-1 ) b ( 1,3) c(6,5) d(7,1) you want to prove that it is a parallelogram by showing opposite sides are congruent . what formula would you use ? show that sb is congruent to cd

Answer 1

AB = CD = √17

Step-by-step explanation:

The distance formula is used to find the length of a line segment between two points. Here, we want to show the distance AB is the same as the distance CD.

d = √((x1 -x1)² +(y2 -y1)²)

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AB: d = √((1 -2)² +(3 -(-1))²) = √((-1)² +4²) = √17

CD: d = √((7-6)² +(1-5)²) = √(1² +(-4)²) = √17 . . . . same as AB

Segment AB is congruent to segment CD.