On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−4, 2). What is the length of Side PQ of the polygon?

2 units
3 units
4 units
5 units

Respuesta :

Answer:

The correct option is 4.

Step-by-step explanation:

Given information: P(1,2) and Q(-4,2)

We need to find the length of side PQ of the polygon.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula we get

[tex]PQ=\sqrt{(-4-1)^2+(2-2)^2}[/tex]

[tex]PQ=\sqrt{(-5)^2+(0)^2}[/tex]

[tex]PQ=\sqrt{25}[/tex]

[tex]PQ=5[/tex]

The length of side PQ of the polygon is 5 units. Therefore the correct option is 4.

Answer:

4 units

hope you get it right