Math Y10 C10 .7 Mid point & distance formula in coordinat Lesson

​Midpoint Formula
Distance Formula

By Kewin Aljoe

Multiple Choice

What is the midpoint between (-4,4) and (-2,2)?

• .

• $$\left(\frac{-4-2}{2},\ \frac{4+2}{2}\right)$$

• $$\left(\frac{4-2}{2},\ \frac{-4+2}{2}\right)$$

• .

Multiple Choice

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)
• (-3,3)
• (4,5)
• (6,7)

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• .

• $$\left(\frac{3-7}{2},\frac{1-5}{2}\right)$$

• $$\left(\frac{3+7}{2},\frac{-1-5}{2}\right)$$

• .

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)
• (10, -6)
• (5, -3)
• (2, -2)

Multiple Choice

Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   

• (0.5, 0.5)
• (6.5, -2.5)
• (-1.5, 7)
• (-2.5, 6.5)

Multiple Choice

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

Multiple Choice

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

Multiple Choice

Find the distance between the points (4, 3) and (0, 6).

• .

• $$\sqrt[]{\left(4-0\right)^2-\left(3-6\right)^2}$$

• $$\sqrt[]{\left(4-0\right)^2+\left(3-6\right)^2}$$

• 7

Multiple Choice

Find the distance between the points (4, 3) and (0, 6).

• 3
• 4
• 5
• 7

Multiple Choice

What is the inverse of square root a number?

• divide
• multiply 
• fractions
• squaring

Multiple Choice

What is the inverse of squaring a number?

• divide
• multiply 
• fractions
• square root

Multiple Choice

On the coordinate plane, which line is the y-axis?

• Horizontal Line (Side to Side)
• Vertical Line (Up and Down)
• .

• .

Multiple Choice

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

• 15 units

• 14 units

• 10 units

• 9 units

Multiple Choice

Find the distance between (-3, 4) and (-3, -8)

• .

• $$\sqrt[]{\left(-3--3\right)^2+\left(4--8\right)^2}$$

• $$\sqrt[]{\left(-3-3\right)^2+\left(4-8\right)^2}$$

• .

Multiple Choice

Find the distance between (-3, 4) and (-3, -8)

• 4 units

• 12 units

• 8 units

• 13 units

Multiple Choice

The four regions on the coordinate plane are called_________________

• origins
• ordered pairs
• quadrants
• coordinates

Multiple Choice

An _________ is the set of numbers used to locate a point on the coordinate plane.

• quadrant
• ordered pair
• origin
• y-axis

Multiple Choice

What are the coordinates of Point C?

• (-4, -2)
• (-2,-4)
• (2, -4)
• (-2, 4)

Multiple Choice

What are the coordinates of Point D?

• (-4, -2)
• (-2,-4)
• (2, -4)
• (-2, 4)

Multiple Choice

What are the coordinates of Point B?

• (-8,8)

• (-8,-8)

• (8, -4)

• (-4, 8)

Multiple Choice

Where is point A located?

• ( 7 , 2 )
• ( 2 , 6 )
• ( - 2 , 7 )
• ( 2 , 7 )

Multiple Choice

What is (0,0) called?

• The center
• The X axis
• The Origin
• The Y axis

Multiple Choice

What Quadrant is (-1,-3)?

• I
• II
• III
• IV

Multiple Choice

Find the distance between the points.

• $$4$$

• $$5$$
  

• $$6$$
  

• $$7$$
  

Multiple Choice

Find the distance between the points.

• .

• .
  

• $$\sqrt{\left(-5-2\right)^2+\left(-1-6\right)^2}$$
  

• $$\sqrt{\left(-5--2\right)^2+\left(-1--6\right)^2}$$
  

Multiple Choice

Find the distance between the points.

• $$4$$

• $$8$$
  

• $$\sqrt{17}$$
  

• $$\sqrt{34}$$
  

Multiple Choice

Find the distance between the points.

• $$6$$

• $$\sqrt{13}$$

• $$\sqrt{26}$$
  

• $$26$$
  

Multiple Choice

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? Choose the correct Working Step!

• $$\left(\frac{x-1}{4},\frac{y+6}{4}\right)=\left(3,4\right)$$

• $$\left(\frac{x-1}{3},\frac{y+6}{3}\right)=\left(3,4\right)$$

• $$\left(\frac{x-1}{2},\frac{y+6}{2}\right)=\left(3,4\right)$$

• .

Multiple Choice

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)

Multiple Choice

Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).

• (5, 7)
• (-2, 9)
• (9, -2)
• (1.5, -7)

Multiple Choice

Find the missing endpoint  if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).

• (5, -11)
• (5, -13)
• (-5, 11)
• (-5, -11)