Question

Plot and connect the points A (3, -3), B (-3, -2), C (-5, 1), D (-5, 4), E (-4 ,6), F (-2, 6), G (3, 2), and find the length of EF.

Answer 1

Given:

The points are A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2).

To find:

The length of EF and plot each point on a coordinate plane and connect them.

Solution:

Plot the given point A(3, -3), B(-3, -2), C(-5, 1), D(-5, 4), E(-4 ,6), F(-2, 6), G(3, 2) on coordinate plane and connect them as shown in the below figure.

From the below graph it is clear that the length of EF is 2 units. We can verify this solution by using the distance formula.

Distance formula:

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

Using the distance formula, the distance between E(-4 ,6) and F(-2, 6) is

$D=\sqrt{(-2-(-4))^2+(6-6)^2}$

$D=\sqrt{(-2+4)^2+(0)^2}$

$D=\sqrt{(2)^2+0}$

$D=2$

Therefore, the length of EF is 2 units.