Geometry Review: Key Concepts and Techniques

What is the formula of the Pythagorean theorem?

• a^2 / b^2 = c^2

• a^2 + b^2 + c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

How do you classify a triangle if c^2 is greater than a^2 + b^2?

• Obtuse triangle

• Acute triangle

• Right triangle

• Equilateral triangle

How do you determine the type of triangle using the Pythagorean theorem?

• By calculating the area

• By applying the converse of the Pythagorean theorem

• By measuring all the angles

• By comparing the lengths of all three sides

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 10 units?

• 5√2

• 10

• 10√2

• 20

What is the pattern for the sides of a 45-45-90 triangle?

• L, 2L, L√3

• L, L√3, 2L

• L, L, L√2

• L, L√2, 2L

In a 30-60-90 triangle, if the shortest side is 2, what is the length of the hypotenuse?

• 4√3

• 4

• 2

• 2√3

What trigonometric ratio is used when you have information about the opposite side and the hypotenuse?

• Cosine

• Sine

• Cotangent

• Tangent

What is the result of using the inverse cosine function to solve for an angle?

• The angle itself

• The angle's cotangent

• The angle's sine

• The angle's tangent

What does SOHCAHTOA help you remember?

• The Pythagorean theorem

• The names of the trigonometric functions

• The relationships between the sides and angles of a right triangle

• The formulas for special right triangles

What is the angle of elevation?

• An angle formed above the horizontal

• An angle formed below the horizontal

• The angle opposite the hypotenuse

• The angle adjacent to the longest side