Option A: establishes that the diagonals intersect at right angles, which is a property of a rhombus, but not sufficient.<span> Conclusion of "no" is incorrect.
Option B: </span>establishes that the diagonals intersect at right angles, which is a property of a rhombus, but not sufficient.
<span>Option C: establishes that the diagonals bisect each other, which is a property of a rhombus, but not sufficient.
Option D: </span>establishes that the diagonals intersect at right angles, which is a property of a rhombus, AND diagonals bisect each other. Together, the two properties are sufficient to establish that the figure is a rhombus.
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Another sufficient condition to establish a rhombus is that the four sides are congruent, as follows:
If A(2, −1), B(5, −5), C(10, −5), and D(7, −1) are the vertices of a rhombus IN ORDER, then AB, BC, CD, DA are the sides.
It is sufficient to prove that the four sides are congruent to conclude that ABCD is a rhombus. (can be established by joining diagonals and proving congruence of triangles by SSS).
mAB=sqrt((5-2)^2+(-5-(-1))^2)=sqrt(3^2+4^2)=5
similarly,
mBC=sqrt(5^2+0)=5
mCD=sqrt(3^2+4^2)=5
mDA=sqrt(5^2+0)=5
Since all four sides are congruent, the figure is a rhombus.
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Answer:
(-5,4)
Step-by-step explanation:
To reverse our steps we need to go up 4 units and down 3 units
+4 -3 = +1
This is in the y direction
(-5,3+1)
(-5,4)
Answer: The cashier did not scan the dishwashing liquid.
Step-by-step explanation:
She wanted bread ($2.19), milk ($2.49), dishwashing liquid($0.87), and paper towels($1.47).
$2.19
$2.49 $10.00 - $7.34 = $2.66
$0.89 - $0.79
+ $1.47 ————
————- $1.87
$7.34
This may be wrong, but I think it is 4 days. Because after the first day, he’ll go 2 days before watering the first one, then 2 days later for both plants, because that would make 4 days and that’s how often he waters the second one.
Answer:
hello
Step-by-step explanation:
i think it is modelling
hope it helps
have a nice day