Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by finding the indicated slopes and side lengths. Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by finding the indicated slopes and side lengths.

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m =

if we use our formule to calculate the slope of W-Z:

 =    =  8

if we use our formule to calculate the slope of X-Y:

 =    =  8

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

 =    

if we use our formule to calculate the slope of Z-Y:

 =    

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = =  

X-Y = =

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = =  

Z-Y = =

So the W-X side have the same lenght to Z-Y side.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b