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GEOMETRY
Metric Relations
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MTH4153-metric relations

Shang-Jung Lee

Created on December 14, 2022

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Transcript

GEOMETRY Metric Relations

PRESS START

VIDEOGAME

VIDEOGAME

HI-SCORE

30815

© 20XX GENIALLY ESCAPE GAMES

MISSIONS (exercises)

INTRODUCTION

CHARACTERS (examples)

MENÚ

4 equations from metric relation (with a, b, m, n, h and c)

or

3. Product of the lengths of the legs of a right triangle is equal to the product of the length of the hypotenuse and the length of the altitude to the hypotenuse

2. Length of the altitude to the hypotenuse of a right triangle is the geometric mean between the lengths of the segments of the hypotenuse

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30815

© 20XX GENIALLY ESCAPE GAMES

1. Length of a leg of a right triangle is the geometric mean between the length of its projection on the hypoteuse and the length of the hypotenuse

INTRODUCTION

Click to view different examples

Example4

Example 3

Example2

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30815

© 20XX GENIALLY ESCAPE GAMES

Example1

CHARACTERS

Pass the missions to obtainthe password numbers

PASSWORD

4 FROGlevel 4

3 STICKlevel 3

2 PUZZLElevel 2

1 SPACElevel 1

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30815

© 20XX GENIALLY ESCAPE GAMES

MISSIONS

Click on the image to enlarge it.

Yes, even thought the right angle is not required.

Yes, that is a right triangle.

No, line BE is a median, not an altitude.

LEVEL 1

OF 5

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All 3 triangles

Triangles 1 & 2

Triangle 1

LEVEL 2

OF 5

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5 cm

10 cm

3.16 cm

LEVEL 3

OF 5

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3.46 cm

2.25 cm

1.5 cm

LEVEL 4

OF 5

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3 cm

16 cm

12 cm

LEVEL 5

OF 5

CONGRATULATIONSon finishing mission 1!

THE NUMBER OF THIS MISSION IS 1

NO (back to home page for a review!)

YES

Not yet Game over!

Go back?

6.32

4.26

6.86

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NEXT

LEVEL 1

OF 5

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NEXT

6.81

6.86

2.66

LEVEL 2

OF 5

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NEXT

4.94 cm

4.31 cm

4.01 cm

LEVEL 3

OF 5

Click on the image to enlarge it.

NEXT

5.68 cm

3.67 cm

9.26 cm

LEVEL 4

OF 5

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NEXT

~ 11.4 cm

~ 8.8 cm

~ 7.70 cm

LEVEL 5

OF 5

CONGRATULATIONSon finishing mission 2!

THE NUMBER OF THIS MISSION IS 3

NO (back to the home page for a review)

YES

Don't give up!

Go back?

Click on the image to enlarge it.

9.93 cm

3.29 cm

5.18 cm

LEVEL 1

OF 5

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~ 15 cm

~ 5.5 cm

~ 3.8 cm

LEVEL 2

OF 5

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~ 5 cm

~ 3 cm

~ 2 cm

LEVEL 3

OF 5

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~ 5 cm

~ 3.6 cm

~ 1.8 cm

LEVEL 4

OF 5

Click on the image to enlarge it.

~ 4.5 cm

~ 2.45 cm

~ 2.69 cm

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?

Click on the image to enlarge it.

line segment BC

line segment DB

line segment AB

LEVEL 1

OF 3

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~ 3.16 cm

~ 12 cm

~ 2.83 cm

LEVEL 2

OF 3

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10 cm squared

2.83 cm

2.83 cm squared

LEVEL 3

OF 3

CONGRATULATIONSon finishing mission 4!

THE NUMBER OF THIS MISSION IS 4

NO (back to the home page for a review)

YES

Keep going!

Go back?

Enter the correct code 👾

Numbers acquired from missions