We would find the slope of the lines connecting the pairs of vertices. Recall, the opposite sides of a parallelogram are parallel. This means that they would have the same slope. The formula for calculating slope is expressed as

slope = (y2 - y1)/(x2 - x1)

Considering L(- 5, 1) and M(- 2, 2),

x1 = - 5, y1 = 1

x2 = - 2, y2 = 2

slope = (2 - 1)/(- 2 - - 5) = 1/(- 2 + 5) = 1/3

Slope of LM = 1/3

Considering N(- 1, - 3) and O(2, - 2)

x1 = - 1, y1 = - 3

x2 = 2, y2 = - 2

slope = (- 2 - - 3)/(2 - - 1) = (- 2 + 3)/(2 + 1) = 1/3

Slope of NO = 1/3

Since the slopes of the opposite sides are equal, it is a parallelogram

We would plot the coordinates of the vertices on a graph as shown below.

5 0

2 years ago

An inchworm ran into a log while on his way to the raspberry patch. The diameter of the log is 32 cm. How far did the inchworm t

Iteru [2.4K]

The answer in this question is C 50cm. The inchworm did travel while on the log of approximately 50 centimeter while on his way to the rasperry patch. With the diameter of the log is 32 centimeter the distant that the inchworm travel while on the log is approximately 50 centimeter.

3 0

4 years ago