Which statement proves that parallelogram KLMN is a
rhombus?
K(7,7)
The midpoint of both diagonals is (4,4).
The length of KM is 172 and the length of NL is 18.
N(3,5)
The slopes of LM and KN are both
and NK = ML =
20.
The slope of KM is 1 and the slope of NL is -1.
L(5,3)
M(1,1)
1024

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)