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MTH4153-distance and division
Shang-Jung Lee
Created on March 22, 2023
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Transcript
GEOMETRY Distance between two points & point of division
PRESS START
VIDEOGAME
VIDEOGAME
HI-SCORE
72810
© 20XX GENIALLY ESCAPE GAMES
MISSIONS (exercises)
INTRODUCTION
CHARACTERS (examples)
MENÚ
5. Given a point in a line segment, describe its position as m:n ratio or p/r of the way
4. Find the corodinate of a point that is p/r of the way of a line segment
2. Find the coordinate of a midpoint
3. Find the coordinate of a point that divides a line segment in m:n ratio
HI-SCORE
51122
© 20XX GENIALLY ESCAPE GAMES
1. Distance between two points
INTRODUCTION
Click to view different examples
Example 4m:n ratio p/r of the way level 2
Example 3m:n ratio p/r of the way level 1
Example 2Midpoints
HI-SCORE
51122
© 20XX GENIALLY ESCAPE GAMES
Example 1Distances
CHARACTERS
Determine the m:n ratio or p/r of the way
Calculating the coordinate of a pointlevel 2
Calculating the coordinate of a pointlevel 1
Distance between two points
Pass the missions to obtainthe password numbers
PASSWORD
4 FROG
3 STICK
2 PUZZLE
1 SPACE
HI-SCORE
51122
© 20XX GENIALLY ESCAPE GAMES
MISSIONS
Which formula should you use?
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LEVEL 1
OF 5
40
5.66
6.32
Select the correct answer for length of side AB
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LEVEL 2
OF 5
Select the right expression to calculate length of side AC
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LEVEL 3
OF 5
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29 unit
7.62 unit
6.32 unit
LEVEL 4
OF 5
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26 m
16 m
9 m
LEVEL 5
OF 5
CONGRATULATIONSon finishing mission 1!
THE NUMBER OF THIS MISSION IS 2
NO (back to home page for a review!)
YES
Not yet Game over!
Go back?
(-1, 3)
(3, -1)
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NEXT
LEVEL 1
OF 5
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NEXT
LEVEL 2
OF 5
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NEXT
-2.75
(3,43, 1.81)
(-1.56, -1.19)
LEVEL 3
OF 5
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NEXT
Not enough information
(0.06, 2.19)
(2.19, 0.06)
LEVEL 4
OF 5
Point D divides the side EF (from E to F) in 2:3 ratio. Point E (3, -12) Point F(-22, -8) Find the coordinate of point D.
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NEXT
(-7, -20)
(-7, -10.4)
(-4.6, -10.4)
LEVEL 5
OF 5
CONGRATULATIONSon finishing mission 2!
THE NUMBER OF THIS MISSION IS 2
NO (back to the home page for a review)
YES
Don't give up!
Go back?
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(-1, 1)
(0.5, -0.5)
(-1.5, 1.5)
LEVEL 1
OF 5
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LEVEL 2
OF 5
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(-3.8, -1)
(-2.6, -1)
(-2.6, -1.6)
LEVEL 3
OF 5
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(3.3, 0.6)
(2,7, -0.7)
LEVEL 4
OF 5
(-7, -20)
(-7, -10.4)
(-4.6, -10.4)
Point D is located 2/5 of the way from point E to F. Point E (3, -12) Point F(-22, -8) Find the coordinate of point D
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LEVEL 5
OF 5
CONGRATULATIONSon finishing mission 3!
THE NUMBER OF THIS MISSION IS 2
NO (back to home page for a review)
YES
You're so close!
Go back?
Point D is the midpoint between points A & B. How can you describe point D in relation to line segement AB as a ratio?
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Not enough information
1/1
LEVEL 1
OF 3
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4:10 or 2:5
not enough information
4:6 or 2:3
LEVEL 2
OF 3
Describe point p (-0.5, 1.5) as p/r of the way from point A (4, 3) to point B (-2, 1).
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4/3 or 6/4.5 or 2/1.5
3/4 or 4.5/6 or 1.5/2
LEVEL 3
OF 3
CONGRATULATIONSon finishing mission 4!
THE NUMBER OF THIS MISSION IS 2
NO (back to the home page for a review)
YES
Keep going!
Go back?
Enter the correct code 👾
Numbers acquired from missions