SOLUTION: If the vertices of a parallelogram are (3,1), (8, 1), (6, 5), and (k, 5), a value of k may be? a) 10 b) 2 c) 0 d) 1

Algebra.Com
Question 1001379: If the vertices of a parallelogram are (3,1), (8, 1), (6, 5), and (k, 5), a value of k may be?
a) 10 b) 2 c) 0 d) 1

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Points (3,1) and (8,1) are on the horizontal line with y=1, 8-3=5 units apart.
Points (6,5) and (k,5) are on the horizontal line with y=5, parallel to y=1.
In a parallelogram, sides that are parallel are congruent,
so the distance between (6,5) and (k,5) must also be 5.
Either k=6+5=11, or k=6-5= .
or

RELATED QUESTIONS

Check my questions and answers. 1. Does the equation represent a direct variation? If... (answered by Alan3354)
1. Two angles of a triangle measure 15° and 85 °. What is the measure for the third... (answered by Fombitz)
if x = -1 and k > 0, which of the following has the greatest value ? a 2 kx b... (answered by stanbon)
If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k? (A) - 25/4 (B) -5/2 (C) -1/4... (answered by stanbon)
If k(2x + 3)(x – 1) = 0 and x > 1, what is the value of k? A -3/2 b 0 c 2/3 (answered by dabanfield,palanisamy)
A parallelogram whose vertices are A(4,1),B(1,2), C(-5,-1)and D(-2,-2).find the angles of (answered by Edwin McCravy)
If {{{x^2+kx+k+1=(x+p)(x+2)}}} for all values of x and k and p are constants, what is the (answered by rothauserc,Edwin McCravy)
Show that the points A(5,-1),B(2,-5),C(7,-5)and D(10,-1)are the vertices of... (answered by Edwin McCravy)
Suppose that Parallelogram ABCD has vertices A(2, 4), B(8, 4), C(5, -3) and D(-1, -3).... (answered by KMST)