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Transcript
UNIT #6 – SIMILAR TRIANGLES AND TRIGONOMETRY
MDM 2DI
TOPIC
I Have No Clue
What This Is!
Similar Triangles
If Their Corresponding Angles Are Equal
If The Ratio Of Corresponding Sides Are Equal
Type 1 – Two Separate Similar Triangles
Type 2 – Two Triangles Joined At One Vertex
Type 3 – One Triangle Inside The Other
Solving Equations With Fractions (Type 3)
Solving Proportions (All Similar Triangle Questions)
Z, F, C – Pattern, Opposite Angles
Angle Sum Triangle Theroem
Supplementary Angles, Complementary Angles
Applications Of Similar Triangles
2
2
 BC 
ABC  AB 
 AC 
  
  
 

PQR  PQ 
 PR 
 QR 
2
Right Angle Trigonometry
Name The Sides Of A Right Triangle
SOH
CAH
TOA
Given Angle, Find Ratio
Given Ratio As A Decimal, Find The Angle
Given Ratio As A Fraction, Find The Angle
Find Missing Side On Top Of Fraction
Find Missing Side On Bottom Of Fraction
Given A Right Triangle, Find Missing Angle
Solving Triangles ( 1 Trig, 1 Pyth Thm, 1 ASTT)
Applications – Angle Of Depression/ Elevation
Slope AB  Tan
Non-Right Triangle Trig
Sine Law – To Find An Angle
Sine Law – To Find A Side
Cosine Law – To Find An Angle
Cosine Law – To Find An Angle
Solving Triangles (Find The Largest Angle First)
Double Triangles – One Right, One Non-Right
Applications – Area, Plane, Towers, Canoes...
Applications – Angle Of Depression/Elevation
I Know What
This Is!
I Can Do
Some Of This!
I Know How
To Do This!