1.3 Distance Formula Practice

Choose the correct formula for the Distance Formula:

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

In order to find AB with enpoints A(-2, -1) and B(3,1), which equation is the correct set up to begin?

• $\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

• $\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

In order to find AB with enpoints A(-2, 4) and B(2,0), which equation is the correct set up to begin?

• $d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$

• $d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$

• $d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$

• $d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$

Find the distance between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Tags

CCSS.HSG.GPE.B.7

Find the distance between (-5, -8) and (-1, -16).

• 8.9
• 9.8
• 10.3
• 11

Tags

CCSS.HSG.GPE.B.7

Find the distance between (-4, 5) and (7, 18).

• 15.96
• 16.08
• 16.23
• 17.03

Tags

CCSS.HSG.GPE.B.7

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16

Tags

CCSS.HSG.GPE.B.7

Use the number line to find LN. (You can count the spaces or plug into the formula  $LN\ =\ \left|x_2-x_1\right|$ )

Use the number line to find JL. (You can count the spaces or plug into the formula  $JL\ =\ \left|x_2-x_1\right|$  )

Find the distance between the two points. Round to the nearest tenth.

(2, 3) and (4, 4)