On a coordinate grid, the coordinates of vertices p and q for polygon pqrs are p(1, 2) and q(−1, 2). what is the length of side

Answers

We need to use the distance formula here
$d = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}$
Now, substitute in the points (1, 2) and (-4, 2)
$d = \sqrt{(-4-1)^2 + (2-2)^2}$
Simplify
$d = \sqrt{(-5)^2 + 0^2}$
$d = \sqrt{25}$
d = 5

tfyfejeje1739

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:

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

Using distance formula we get

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

$PQ=\sqrt{(-5)^2+(0)^2}$

$PQ=\sqrt{25}$

PQ=5

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

interndon

Step-by-step explanation:

its 6 i hope this helps

gordonandrea313

3 units

Step-by-step explanation:

fooligan7100

2 units

Step-by-step explanation:

Polygons are shapes with straight sides and must be closed. Also, polygons sides never touch. Polygons are classified according to its number of sides. Since in this problem we have four points because the polygon is PQRS, then this is a Quadrilateral, which is any polygon with exactly 4 sides. We only know two points P(1, 2) and Q(−1, 2). To find the length of Side PQ of the polygon we must use the distance formula:

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

$If \ P(1, 2)=P(x_{1},y_{1}) \ and \ Q(-1, 2)=Q(x_{2},y_{2}) \ then: \\ \\ d=\sqrt{(1-(-1))^2+(2-2)^2} \\ \\ \boxed{d=2}$

Finally, the length of Side PQ of the polygon is 2 units

roberth0518

2 units

Step-by-step explanation:

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

$If \ P(1, 2)=P(x_{1},y_{1}) \ and \ Q(-1, 2)=Q(x_{2},y_{2}) \ then: \\ \\ d=\sqrt{(1-(-1))^2+(2-2)^2} \\ \\ \boxed{d=2}$

Finally, the length of Side PQ of the polygon is 2 units

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On a coordinate grid, the coordinates of vertices p and q for polygon pqrs are p(1, 2) and q(−1, 2). what is the length of side pq of the polygon? 2 units 3 units 4 units 6 units

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Other questions on the subject: Mathematics

On a coordinate grid, the coordinates of vertices p and q for polygon pqrs are p(1, 2) and q(−1, 2). what is the length of side pq of the polygon?
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