Question

A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of BC. A. 5 units B. 2 units C. 4 units D. 3 units

Answer 1

The formula to find the distance between two points A(x₁,y₁) and B(x₂,y₂) is:

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

In this case, we have:

`\begin{gathered} B(x_1,y_1)=(1,-7) \\ C(x_2,y_2)=(1,-4) \end{gathered}`
`\begin{gathered} D=\sqrt[]{(1-1)^2+(-4-(-7))^2} \\ D=\sqrt[]{(0)^2+(-4+7)^2} \\ D=\sqrt[]{3^2} \\ D=3 \end{gathered}`

Therefore, the length of segment BC is 3 units.