SOLUTION: determine if this quadrilateral with the given vertices is a square: A(1,-2), B(4,2), C(6,2), D(3,-2)

Question 1136754: determine if this quadrilateral with the given vertices is a square: A(1,-2), B(4,2), C(6,2), D(3,-2)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
show that all sides are equal
distance formula sqrt (difference in x s ^2+ difference in y s ^2)
AB has distance 5 units (sqrt 25)
BC and AD have distance 2 units
The quadrilateral is not a square.
One may also use slopes to see if two opposite lines have the same slope and are perpendicular to the two other opposite lines.
Sketch a graph and plot a couple of points. It is obvious the figure is not a square.
RELATED QUESTIONS
determine if this quadrilateral with the given vertices is a square A(1,-2) B(4,2)... (answered by MathLover1)

Given points A(3, 3), B(3, -2), C(-1, -1), D(-1, 4). Determine whether quadrilateral ABCD (answered by jim_thompson5910)

how would you do this? Determine whether quadrilateral ABCD with the given vertices is a... (answered by fcabanski)

Determine whether the polygons with the given vertices are similar. Quadrilateral ABCD... (answered by KMST)

Quadrilateral ABCD has vertices A(-1,0), B(3,3), C(6,-1), and D(2,-4). Prove that... (answered by checkley77,jojo14344)

Quadrilateral ABCD has vertices A( -6, -2 ), B( 0, -2), C( 4, 2), and D( 2, 6). Price... (answered by richwmiller)

Quadrilateral ABCD has vertices A( -6, -2 ), B( 0, -2), C( 4, 2), and D( 2, 6). What type (answered by richwmiller)

A parallelogram whose diagonals are perpendicular is called a rhombus. Given the... (answered by Solver92311)

The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2),... (answered by Fombitz)