memCSV

</div>

A B

A	B
Question	Answer
Coordinate Geometry Terms Coordinate Geometry Definition - It is one of the branches of geometry where the position of a point is defined using coordinates. What are the Coordinates?	Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
Coordinate Plane Meaning - A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. What is the Distance Formula?	It is used to find the distance between two points situated in A(x1,y1) and B(x2,y2)
What is the distance between (4, 0) and (0, 0)?	4 `d = (x1 - x2)` `= 4 - 0` `= 4`
What is the distance between (4, 3) and (4, 0)?	3 `d = (x1 - x2) + (y1 - y2)` `= (4 - 4) + (3 - 0)` `= 0 + 3` `= 3`
What is the distance between (4, 3) and (0, 0)?	Using previous formula, we get `d = (x1 - x2) + (y1 - y2)` `= (4 - 0) + (3 - 0)` `= 4 + 3` `= 7` But we know from https://www.mathsisfun.com/algebra/distance-2-points.html
If (x1 - x2) + (y1 - y2) is giving a higher value than what is correct, What can the distance formula be?	Why not square the x component and square the y component, and then reduce it down by using square root? (x1−x2)2+(y1−y2)2\sqrt{(x1 - x2)^2 + (y1 - y2)^2}(x1−x2)2+(y1−y2)2 Let’s see if it works… d=(x1−x2)2+(y1−y2)2d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2} d=(x1−x2)2+(y1−y2)2 =(4−0)2+(3−0)2 = \sqrt{(4 - 0)^2 + (3 - 0)^ 2}=(4−0)2+(3−0)2 =16+9= \sqrt{16 + 9}=16+9 =25= \sqrt{25}=25 =5= 5=5
What is the distance between (2, -1) and (5, 3)?
What is the most logical way to represent a cartesian point in Python? A. Use two variables, for e.g. x1 and y1 or x2 and y2 B. Use a single tuple variable C. None of the above	Choice B. Tuple is the logical way of doing it Python.
What is the syntax for defining a point `(3, 4)` as a tuple in Python? A. `(3, 4)` B. `tuple(3, 4)` C. Both the above are valid	Choice C.
How can you deconstruct a tuple that represents a point?	If `pointA = (6, 8) # construction` then `x1, y1 = pointA # deconstruction` `print(x1, y1) # 6, 8`
`x1, y1, x2, y2 = (1, 2, 3, 4)` What is the value of `x1` and `y2`?	`1 and 4.`
Are you confident of writing the code for Distance between Two Points?	Test yourself at http://j.mp/twoPointsCC

Question

Answer

Coordinate Geometry Terms

Coordinate Geometry Definition - It is one of the branches of geometry where the position of a point is defined using coordinates.

What are the Coordinates?

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Coordinate Plane Meaning - A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

What is the Distance Formula?

It is used to find the distance between two points situated in A(x1,y1) and B(x2,y2)

What is the distance between (4, 0) and (0, 0)?

d = (x1 - x2)

= 4 - 0

= 4

What is the distance between (4, 3) and (4, 0)?

d = (x1 - x2) + (y1 - y2)

= (4 - 4) + (3 - 0)

= 0 + 3

= 3

What is the distance between (4, 3) and (0, 0)?

Using previous formula, we get

d = (x1 - x2) + (y1 - y2)

= (4 - 0) + (3 - 0)

= 4 + 3

= 7

But we know from https://www.mathsisfun.com/algebra/distance-2-points.html

If (x1 - x2) + (y1 - y2) is giving a higher value than what is correct,

What can the distance formula be?

Why not square the x component and square the y component, and then reduce it down by using square root?

(x1−x2)2+(y1−y2)2\sqrt{(x1 - x2)^2 + (y1 - y2)^2}(x1−x2)2+(y1−y2)2

Let’s see if it works…

d=(x1−x2)2+(y1−y2)2d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2} d=(x1−x2)2+(y1−y2)2

=(4−0)2+(3−0)2 = \sqrt{(4 - 0)^2 + (3 - 0)^ 2}=(4−0)2+(3−0)2

=16+9= \sqrt{16 + 9}=16+9

=25= \sqrt{25}=25

=5= 5=5

What is the distance between (2, -1) and (5, 3)?

What is the most logical way to represent a cartesian point in Python?

A. Use two variables, for e.g. x1 and y1 or x2 and y2

B. Use a single tuple variable

C. None of the above

Choice B.

Tuple is the logical way of doing it Python.

What is the syntax for defining a point (3, 4) as a tuple in Python?

A. (3, 4)

B. tuple(3, 4)

C. Both the above are valid

Choice C.

How can you deconstruct a tuple that represents a point?

pointA = (6, 8) # construction

then

x1, y1 = pointA # deconstruction

print(x1, y1) # 6, 8

x1, y1, x2, y2 = (1, 2, 3, 4)

What is the value of x1 and y2?

1 and 4.

Are you confident of writing the code for Distance between Two Points?

Test yourself at http://j.mp/twoPointsCC

PreviousimportantTopics-kgashok NextTower of Hanoi

Last updated 2 years ago