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.
B. Square, because all four sides are congruent and adjacent sides are perpendicular
A graph of your figure is below.
The figure is a square becauseAll four sides are congruent Adjacent sides are perpendicular.
B. Square, because all four sides are congruent and adjacent sides are perpendicular.
1. Gradients of AB and DC are equalits a parallelogram
2. Distances of AB and BC are equal＋its a parallelogramit's a square
The coordinates of the given quadrialteral ABCD are
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.
Therefore, the parallelogram ABCD is a square with side length of .
found it xd it ok yt
step-by-step explanation: p-4p