Question

The points (–2, 4) and (–2, –2) are vertices of a heptagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?

Answer 1

Answer:

Sample Response: The segment is vertical because the x-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 6 units long.

Step-by-step explanation:

Answer 2

Answer:

The segment is 6 units long.

Step-by-step explanation:

The points (–2, 4) and (–2, –2) are vertices of a heptagon. We have to explain how to find the length of the segment formed by these endpoints.

If two points at the ends of a straight line PQ are P($x_{1},y_{1}$) and Q($x_{2},y_{2}$), then the length of the segment PQ will be given by the formula  

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$

Now, in our case the two points are (-2,4) and (-2,-2) and the length of the segment will be  

$\sqrt{(- 2 - (- 2))^{2} + (4 - (- 2))^{2}} = 6$ units. (Answer)