Mathematics, 25.01.2021 23:00, TanishaSchollaert1

Quadrilateral ABCD has coordinates A (3, 5), B (5, 2), C (8, 4), D (6, 7). Quadrilateral ABCD is a (4 points)

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answered: arturocarmena10

The answer is (B) square because all four sides are congruent and adjacent sides are perpendicular.

Step-by-step explanation: We are given a quadrilateral ABCD with co-ordinates of the vertices A(3, 5), B(5, 2), C(8, 4) and D(6, 7).

We know that if (a, b) and (c,d) are any two points, then the distance between them is given by the formula:

The length of the sides AB, BC, CD and DA are calculated by the distance formula as follows:

Now, the slopes of all the sides are calculated as follows:

Therefore, we have

m × n = n × o = o × p = p × m = -1.

Hence, the adjacent sides are perpendicular, since the product of the slopes of two perpendicular lines is - 1.

Therefore, ABCD is a square, because all the sides are congruent and adjacent sides are perpendicular.

Thu, (B) is the correct option.

answered: zone332

B. Square, because all four sides are congruent and adjacent sides are perpendicular

Step-by-step explanation:

A graph of your figure is below.

The figure is a square because

All four sides are congruent Adjacent sides are perpendicular.
Quadrilateral ABCD has coordinates A (3,5), B (5,2), C (8,4), D (6, 7). Quadrilateral ABCD is a...

answered: josephbig9

B. Square, because all four sides are congruent and adjacent sides are perpendicular.

answered: cayden81

Step-by-step explanation:

answered: dearydn22

Quadrilateral ABCD is a square

answered: croxy0514

Square.
1. Gradients of AB and DC are equalits a parallelogram
2. Distances of AB and BC are equal＋its a parallelogramit's a square
Quadrilateral abcd has coordinates a (3, 5), b (5, 2), c (8, 4), d (6, 7). quadrilateral abcd is a

answered: robert7248

The parallelogram ABCD is a square with side length of

$\sqrt{13}$ .

Step-by-step explanation:

The coordinates of the given quadrialteral ABCD are

$A(3,5)\\B(5,2)\\C(8,4)\\D(6,7)$

The best way to see which type of quadrilateral is, it's to draw.

The image attached shows the quadrilateral ABCD. According to our figure, it seems to be a square.

To demonstrate that the parallelogram ABCD is a square, we need to find the length of each side.

$AB=\sqrt{(2-5)^{2} +(5-3)^{2} } =\sqrt{9+4}=\sqrt{13}$

$BC=\sqrt{(4-2)^{2} +(8-5)^{2} } =\sqrt{4+9}=\sqrt{13}$

$CD=\sqrt{(7-4)^{2} +(6-8)^{2} } =\sqrt{9+4}=\sqrt{13}$

$DA=\sqrt{(7-5)^{2} +(6-3)^{2} } =\sqrt{4+9}=\sqrt{13}$

Therefore, the parallelogram ABCD is a square with side length of $\sqrt{13}$ .

answered: Guest

found it xd it ok yt

answered: Guest

answer: p-4p

step-by-step explanation: p-4p

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Quadrilateral ABCD has coordinates A (3, 5), B (5, 2), C (8, 4), D (6, 7). Quadrilateral ABCD is a (...