HW 1: Distance and Midpoint Formulas

Find the distance d(P1 , P2) between the points P1 and P2 . Round the answer to the tenth place. 

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

• $\sqrt{6}$

• $\sqrt{5}$

• $2$

• $\sqrt{10}$

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.4

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

• $\sqrt{6}$

• $\sqrt{5}$

• $2$

• $4$

Tags

CCSS.8.EE.A.2

CCSS.8.G.B.8

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

 $P_1=(3,-4);\ P_2=(5,4)$  

•  $\sqrt{70}$ 

•  $\sqrt{68}$ 

•  $8$ 

•  $\sqrt{65}$ 

Tags

CCSS.HSG.GPE.B.7

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

 $P_1=(-5,-3);\ P_2=(11,9)$ 

•  $20$ 

•  $\sqrt{12}$ 

•  $8$ 

•  $\sqrt{65}$ 

Tags

CCSS.HSG.GPE.B.7

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (3, -4); P2 = (5, 4)

• (4,0)

• (4,2)

• (8,2)

• (0,4)

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (-4, -3); P2 = (2, 2)

• $\left(-1,-\frac{1}{2}\right)$
  

• $\left(1,\frac{1}{2}\right)$
  

• $\left(1,-\frac{1}{2}\right)$

• $\left(-1,\frac{1}{2}\right)$
  

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = ( -2, 0); P2 = (2, 4)

•  $\left(0,2\right)$ 
  

•  $\left(-2,-2\right)$ 
  

•  $\left(0,-2\right)$ 

• $\left(-1,\frac{1}{2}\right)$
  

Tags

CCSS.HSG.GPE.B.6

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (a, b); P2 = (0, 0)

•  $\left(\frac{a}{2},\frac{b}{2}\right)$ 
  

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

•  $\left(2a,-2b\right)$ 

•  $\left(-1a,\frac{1}{2}b\right)$ 
  

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.6

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the median of the triangle with vertex A at A = (0, 0), B = (6, 0), and C = (4, 4).

•  $\sqrt{29}$  

•  $\sqrt{27}$  

•  $6$  

•  $5$  

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.GPE.B.4