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What to know for the Chapter 9 Test

Definitions

  • Pythagorean Triples (you need to know 5 familes!)
  • Prism parts: faces, edges, diagonals
  • Pyramid parts: base, vertex, altitude, slant height
  • Cube
  • Sine, Cosine, Tangent (remember SOHCAHTOA)

Theorems

  • Altitude-on-Hypotenuse Theorems (there are three relationships to know here!)
  • The Pythagorean Theorem and it's converse
  • The Distance Formula
  • Isosceles Right Triangle Theorem
  • 30-60 Right Triangle Theorem

Types of Problems

  • Simplifying square roots (including reducing, adding, subtracting, multiplying, and dividing)
  • Altitude-on-Hypotenuse problems (finding side/altitude lengths and/or perimeters)
  • Classifying triangles (acute, right, obtuse and scalene, isosceles, equilateral)
  • Pythagorean Theorem problems (finding side lengths/perimeters/etc.)
  • Solving for lengths using the Distance Formula
  • Using Pythagorean Triples to solve right triangle problems
  • Using special right triangles to solve related problems
  • Solving problems involving right triangles in prisms and pyramids
  • Determining the trigonometric ratios (Sine, Cosine, and Tangent) based on the side lengths of right triangles
  • Using the inverse trigonometric function keys on a calculator (or reading from the trig table) to determine angle measurements of a triangle given side lengths
Other Links
Class Notes
Lesson 9-1
Lesson 9-2
Lesson 9-3
Lesson 9-4
Quiz Topics
Lesson 9-5
Lesson 9-6
Lesson 9-7
Lesson 9-8
Lesson 9-9
Lesson 9-10
Test Topics
Trig Table
 
   
 
   
If you have questions, email me at baroodyj@doversherborn.org