quadrilateral has vertices at P(–2, 5), Q(0, 5), R(–2, 3), and S(0, 3). Find the length of , to the nearest hundredth
The length of what?
Perimeter?
a Diagonal?
a Side?
Which one?
To find the length of a line segment, you can use the distance formula. The distance formula is derived from the Pythagorean theorem, and it gives the distance between two points in a coordinate plane.
Given the coordinates of two points (x1, y1) and (x2, y2), the distance between them can be found using the following formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's apply this formula to find the length of line segment PQ with coordinates P(-2, 5) and Q(0, 5).
x1 = -2
y1 = 5
x2 = 0
y2 = 5
Substituting these values into the distance formula, we get:
Distance = sqrt((0 - (-2))^2 + (5 - 5)^2)
= sqrt(2^2 + 0^2)
= sqrt(4 + 0)
= sqrt(4)
= 2
Therefore, the length of line segment PQ is 2 units.