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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