1.3 Distance & Midpoint Formula

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

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Which of the following is the correct distance formula given two endpoints (x1, y1) and (x2, y2)?

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

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

•  $d\ =\ \sqrt{\left(y_{2\ }-\ y\ _1\right)2\ +\ \left(x_{2\ }-\ x_1\right)2}$ 

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

Tags

CCSS.HSG.GPE.B.7

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

• (-1, 13)
• (13, 1)
• (13, -1)
• (5, 13)

Tags

CCSS.HSG.GPE.B.6

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

• (1,5)
• (2,10)
• (7,2)
• (1,2)

Tags

CCSS.HSG.GPE.B.6

What is the distance between (-5, 3) and (4, -5)

• $\sqrt{145}$

• $\sqrt{5}$
  

• 9

• $\sqrt{17}$

Tags

CCSS.HSG.GPE.B.7

Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 

• 14 blocks
• 12 blocks
• 10 blocks
• 8.5 blocks

Tags

CCSS.8.G.B.8

Find the distance. Round to the nearest tenth.

• 7.1

• 7.8

• 8.7

• 8.9

Tags

CCSS.HSG.GPE.B.7

A(3,1) B(-2,-1) plugged into the distance formula would be:

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

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

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

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

Tags

CCSS.HSG.GPE.B.7

Given the points A(-1,2) and B(7,14), find the coordinates of the point P so that it is 1/4 of the way from A to B.

• (1,5)

• (3,7)

• (4,4)

• (5,8)

Tags

CCSS.HSG.GPE.B.6

Given A (-5, 8) and B(9, 3). What are the coordinates of the point that is 2/7 of the way from A to B? If necessary, round to the nearest tenth.

• (12, 1.6)

• (-1, 7.6)

• (-1, 6.6)

• (13, 1.6)