Given quadrilateral abcd with vertices at a(-2,3), b(1,6), c(5,2), and d(2,-1); determine what type of quadrilateral abcd is.

The quadrilateral ABCD is a RECTANGLE.

Step-by-step explanation:  Given that the co-ordinates of the vertices of quadrilateral ABCD are A(-2,3), B(1,6), C(5,2), and D(2,-1).

We are to find the type of quadrilateral ABCD.

The lengths of the sides of quadrilateral ABCD are calculated using distance formula, as follows:

So, AB = CD  and  BC = DA.

Now, the slopes of the sides AB, BC, CD and DA are calculated as follows:

This implies that

m = o, n = p and m × n = n × o = o × p = p × m = -1.

So, the opposite sides are parallel and adjacent sides are perpendicular.

Therefore, the opposite sides of the quadrilateral ABCD are parallel and congruent. Also, the adjacent sides are perpendicular.

Thus, quadrilateral ABCD is a RECTANGLE.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!