Distance between two points

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Xiaodan Leng 5 years, 9 months ago

Created this as a copy of Distance between two points.

Name	Status	Author	Last Modified
Midpoint	Ready to use	Ben Brawn	20/03/2025 03:54
Distance between two points	Ready to use	Ben Brawn	20/03/2025 03:45
Katherine's copy of Distance between two points	draft	Katherine Tomlinson	01/08/2017 12:55
Katherine's copy of Midpoint	draft	Katherine Tomlinson	01/08/2017 12:56
Terry's copy of Distance between two points	draft	Terry Young	03/04/2019 17:57
Terry's copy of Midpoint	draft	Terry Young	03/04/2019 17:58
Distance between two points	draft	Xiaodan Leng	11/07/2019 02:20
Midpoint	draft	Xiaodan Leng	11/07/2019 02:20

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			Name	Type	Generated Value

l	list	List of 8 items
xa1	number	6
xa2	number	-4
ya1	number	-8
ya2	number	3
dx	number	-10
dy	number	11
x1	number	-3
y1	number	11
x2	number	-6
y2	number	15
triple	list	[ 3, 4, 5 ]

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Name

Data type

Value

xxxxxxxxxx
 
shuffle(-12..12)[0..8]

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Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `list`

[ 6, -4, -8, 3, -3, -10, 11, -5 ]

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Parts

Part a) Gap-fill
1. Gap Number entry
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Part b) Gap-fill
1. Gap Mathematical expression
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Gap-fill

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The distance between the points $(\var{x1},\var{y1})$ and $(\var{x2},\var{y2})$ is Unnamed gap units.

Note: For this question your answer should be an integer.

Advice

The distance between the points $(x_1,y_1)$ and $(x_2,y_2)$ is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ units. This is the simply the length of the hypotenuse of the right angled triangle given by Pythagoras' Theorem $c^2=a^2+b^2$.

{diagram()}

a) For the points $(\var{x1},\var{y1})$ and $(\var{x2},\var{y2})$ this is a distance of

$\begin{align}\sqrt{\simplify[basic]{({x2}-{x1})^2+({y2}-{y1})^2}}&=\sqrt{\simplify[basic]{({x2-x1})^2+({y2-y1})^2}}\\&=\sqrt{\simplify[basic]{{(x2-x1)^2}+{(y2-y1)^2}}}\\&=\sqrt{\simplify[basic]{{(x2-x1)^2+(y2-y1)^2}}}\\&=\var{triple[2]} \quad \text{units.}\end{align}$

b) For the points $(\var{xa1},\var{ya1})$ and $(\var{xa2},\var{ya2})$ this is a distance of

$\begin{align}\sqrt{\simplify[basic]{({xa2}-{xa1})^2+({ya2}-{ya1})^2}}&=\sqrt{\simplify[basic]{({xa2-xa1})^2+({ya2-ya1})^2}}\\&=\sqrt{\simplify[basic]{{(xa2-xa1)^2}+{(ya2-ya1)^2}}}\\&=\sqrt{\simplify[basic]{{(xa2-xa1)^2+(ya2-ya1)^2}}} \quad \text{units.}\end{align}$

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

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Generated value: `list`

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Distance between two points

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`