Distance Formula

The distance formula is another way to write which of the following?

• quadratic formula

• slope formula

• Pythagorean theorem

• none of these answers

How is the length of a segment related to the distance between its endpoints?

• The length of the segment is the distance between its endpoints.

• The length of the segment is the square root of the distance between its endpoints.

• The length of the segment is half the distance between its endpoints.

• There is no relationship between the length of a segment and the distance between its endpoints.

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

How is AB written in the distance formula?

• 
  $d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$
  

• $d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

• $d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

• $d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

Determine CD.

• 5

• $\sqrt{7}$

• $2\sqrt{6}$

• 25

Determine CD.

• $4\sqrt{2}$

• 4

• $\sqrt{34}$

• 34

Determine the distance between points A(2, 3) and B(7, -2)

• $\sqrt{82}$

• $5\sqrt{2}$

• $\sqrt{51}$

• 7