Decide whether the parallelogram is a rhombus ,a rectangle or a square explain

1 answer:

6 0

 a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

Any two opposite sides of a parallelogram are called bases, a distance between them is called a height. If all angles of parallelogram are 90 degree then it can either be a rectangle or a square. ... Only opposite sides of a rectangle are equal unlike square which has all .

The opposite internal angles of both a parallelogram and rectangle are equivalent. The main difference is that a rectangle always has angles of 90°, while that of a parallelogram may vary. In other words, the angles of a rectangle are always equal, or equiangular.

The basic difference between rhombus and parallelogram lies in their properties, all the sides of a rhombus have the same length, whereas parallelogram is a rectilinear figure whose opposite sides are parallel.

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Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

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