MTH4153-congruent-similar triangles

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GEOMETRYCongruent and Similar Triangles

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CHARACTERS (examples)

INTRODUCTION

MISSIONS

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INTRODUCTION

1. Congruent triangles - SSS

Side-Side-Side (SSS) theorem https://www.pbslearningmedia.org/resource/geometry-triangles-sss/sss-postulate-school-yourself-geometry/ SSS Postulate | School Yourself Geometry | PBS LearningMediaWhen triangles have three matching side lengths, they're always congruent. Learn why with this interactive video from the School Yourself Geometry...PBS LearningMedia

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6. Similiar triangles - SAS

Side-Angle-Side theorem (SAS)

7. Calculating missing sides with similar triangles

2. Congruent triangles - ASA

Angle-Side-Angle theorem (ASA) https://www.pbslearningmedia.org/resource/geometry-triangles-asa/asa-postulate-school-yourself-geometry/ ASA Postulate | School Yourself Geometry | PBS LearningMediaWhen triangles have two matching angles, and matching side lengths between those angles, they're always congruent. Learn more with this interactive...PBS LearningMedia

5. Similiar triangles - SSS

Side-Side-Side theorem (SSS) *not to be confused with the SSS theorem for congruent triangles!

3. Congruent triangles - SAS

Side-Angle-Side theorem (SAS) https://www.pbslearningmedia.org/resource/geometry-triangles-sas/sas-postulate-school-yourself-geometry/ SAS Postulate | School Yourself Geometry | PBS LearningMediaWhen triangles have two matching side lengths, and matching angles between those sides, they're always congruent. Learn more with this interactive...PBS LearningMedia

4. Similiar triangles - AA

Angle-Angle theorem (AA) If two triangles have two pair of corresponding angles that are congruent, then these two triangles are similar. https://www.pbslearningmedia.org/resource/geometry-triangles-aa/aa-similarity-school-yourself-geometry/ AA Similarity | School Yourself Geometry | PBS LearningMediaAs long as triangles have two matching angles, they will always be similar. Learn more with this interactive video from the School Yourself Geometry...PBS LearningMedia

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CHARACTERS

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MISSIONS

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1 SPACE

2 PUZZLE

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PASSWORD

Pass the missions to obtainthe password numbers

OF 5

LEVEL 1

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Triangles SUV and NEO

Trianges SUV and ATW

Triangles NEO and ATW

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Not congruent

Congruent using the SAS

Congruent using the ASA

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Congruent based on ASA

Congruent based on SSS

Congruent based on AA

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Congruent using the AA theorem

Congruent using the ASA theorem

Not congruent

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Nothing, these two triangles are not congruent.

Angles Y and P are congruent.

Angles Z and R are congruent.

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THE NUMBER OF THIS MISSION IS 4

CONGRATULATIONSon finishing mission1!

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2.5 cm

3 cm

6 cm

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Line DF

Line DE

Line EF

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Line AE

Line AB

Line FE

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7 cm

12.9 cm

1.66 cm

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13.3 cm

1.66 cm

41.5 cm

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THE NUMBER OF THIS MISSION IS 3

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OF 5

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Not similar

Similar based on the AA theorem

Similar based on the ASA theorem

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Similar based on the AA theorem

Not similar

Similar based on the SSS theorem

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None of them

Triangle DEF

Triangle GHI

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Triangle DFE

Triangle YXZ

Triangle GIH

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Record what you find in each step! Click on the image to enlarge it.

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Similar based on the SAS theorem

Similar based on the AA theorem

Similar based on the SS theorem

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THE NUMBER OF THIS MISSION IS 2

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OF 3

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Similar based on the SSS theorem

Similar based on the AA theorem

Similar based on the SAS theorem

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Record what you find in each step! Click on the image to enlarge it.

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1.33

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2.99

3.58

1.69

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THE NUMBER OF THIS MISSION IS 1

CONGRATULATIONSon finishing mission4!

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CONGRATULATIONS

THANKS FOR PLAYING

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