Given quadrilateral abcd, with vertices a (b,2c), b (4b,3c), c (5b, c), and d (2b,0), and without knowing anything about the relationship between b and c, classify the quadrilateral as precisely as possible. a) the quadrilateral is a rectangle b) the quadrilateral is a parallelogram c) a quadrilateral is a trapezoid d) the quadrilateral is a rhombus
The quadrilateral is a parallelogram
B) The quadrilateral is a parallelogram
WE are given the coordinates of the quadrilateral ABCD
as A (b,2c), B (4b,3c), C (5b,c), and D (2b,0)
Let us find the slopes of all sides
Slope of AB =
From the above we know that AB and CD have same slope and hence parallel
Similarly BC and AD are parallel. Since opposite sides are parallel, ABCD is a parallelogram
To check whether rectangle, let us see slope of AB x slope of BC =-1
c/3b(2c/b) not equals -1 hence not a rectangle.
If rhombus adjacent sides should be equal
Since not equal, it is not a rhombus. ABCD is a parallelogram
The data A, B, C and D are Qualitative.
The data remains qualitative even when inputed as 1, 2, 3 and 4
The data consisting of A, B, C and D is Qualitative , reason being that they can only be classified into categories.
Also, when the data is inputed as 1, 2, 3 and 4; the data remains Qualitative because theycannotbemeaningfully addd , subtracted, multiplied or divided.
The data consisting of the classifications A, B, C, and D are qualitative.
After the data are input as 1, 2, 3, or 4 the data still be qualitative.
The data consisting of the classifications A, B, C, and D are qualitative because data is categorized in A B C and D categories.
When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.
The data is qualitative.
The data is qualitative because they can only be classified into the four categories and they cannot be measured on a numerical scale. Therefore, we know the data is qualitative.