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2 years ago

A quadrilateral is drawn on a coordinate plane with vertices at W(-3,1) X(-1,5). Y(0, 3), and Z(-2,-1).

Mathematics

1 answer:

lbvjy [14]2 years ago

3 0

The actions that prove that the quadrilateral is a parallelogram are:

Use the slope formula on each side of the quadrilateral and show that opposite sides have the same slope.
Use the distance formula on each side of the quadrilateral and show that opposite sides have the same length.

<h3>Quadrilaterals</h3>

Quadrilaterals are polygons that have four sides and four corners

<h3>Parallelograms</h3>

Parallelograms are quadrilaterals that have parallel and congruent opposite sides

For the quadrilateral to be a parallelogram, then the opposite sides must be congruent.

This can be proved using the distance formula

Also, for the quadrilateral to be a parallelogram, then the opposite sides must be parallel.

This can be proved using the slope formula

Hence, the possible actions are (a) and (b)

Read more about quadrilaterals and parallelograms at:

brainly.com/question/14708246

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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2 years ago

What is the answer??

igomit [66]

Tbh I don’t really know but if it did I would of help you

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Find the following F distribution values from Table 4 of Appendix B.

lana [24]

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I need help pls ASAP !!<br> (Extra points)<br><br> & explanation

sergey [27]

Answer:

x = 60

Step-by-step explanation:

Total degrees of all interior angles (the three angles inside the triangle) is always 180°

So u use 180/3 = 60 which is x

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William earns a base salary of $150 every week with an additional 12% commissions on everything he sells if William sold $6050 w

ELEN [110]

6050×12%=$726.00 That's the answer

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