1.3 Distance/Midpoint

What is the formula of midpoint?

•  $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$  

•  $\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$  

•  $\left(\frac{x_1+y_1}{2},\frac{x_2+y_2}{2}\right)$  

•  $\left(\frac{x_1-y_1}{2},\frac{x_2-y_2}{2}\right)$  

Tags

CCSS.HSG.GPE.B.6

Midpoint (2,8) (-1,4)

•  $\left(6,\frac{1}{2}\right)$  

•  $\left(6,-\frac{1}{2}\right)$  

•  $\left(\frac{1}{2},6\right)$  

•  $\left(-\frac{1}{2},6\right)$  

Tags

CCSS.HSG.GPE.B.6

What is the formula of distance?

• d = $\sqrt{\left(x_1+x_2\right)^2-\left(y_1+y_2\right)^2}$

• d = $\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

• d = $\sqrt{\left(x_1+x_2\right)^2+\left(y_1+y_2\right)^2}$

• d = $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Tags

CCSS.HSG.GPE.B.7

Distance (5,3) (-8,8)

• d = $\sqrt{194}$

• d = $\sqrt{34}$

• d = 12

• d = $2\sqrt{97}$

Tags

CCSS.HSG.GPE.B.7

Distance (4,3) (0,-5)

• d = $\sqrt{80}$

• d = $2\sqrt{5}$

• d = $4\sqrt{5}$

• d = $4\sqrt{10}$

Tags

CCSS.HSG.GPE.B.7

Distance (-6,2) (-9,6)

• d = 17

• d = $\sqrt{73}$

• d = 5

• d = $\sqrt{241}$

Tags

CCSS.HSG.GPE.B.7

Midpoint (2,8) (-2,-5)

•  $\left(0,\frac{3}{2}\right)$ 

•  $\left(0,\frac{13}{2}\right)$ 

•  $\left(0,-\frac{3}{2}\right)$ 

•  $\left(0,-\frac{13}{2}\right)$ 

Tags

CCSS.HSG.GPE.B.6

Midpoint (8,1) (-11,4)

•  $\left(-\frac{3}{2},\frac{5}{2}\right)$ 

•  $\left(\frac{19}{2},\frac{5}{2}\right)$  

•  $\left(\frac{19}{2},-\frac{3}{2}\right)$ 

•  $\left(-\frac{3}{2},-\frac{3}{2}\right)$ 

Tags

CCSS.HSG.GPE.B.6