Trigonometry
What is the ratio for sin?
Opposite / hypotenuse
Radius
What is half the diameter?
Name 5 ways to prove the triangles are congruent.
SSS, SAS, ASA, AAS, HL
Slide
What is a translation?
What is the ratio for COS?
What is adjacent / hypotenuse?
pi * r2
What is the formula for area of a circle?
Name 3 ways to prove that triangles are similar?
SSS similarity, SAS similarity, and AA similarity
Rigid transformations
What are translation, rotation, and reflection?
Opposite / adjacent
What is Tan?
2* pi* r
What is the formula for circumference?
Angles must be equal, but sides are proportional
What is the definition of similar?
Results in similar figures
Dilation
Set up an equation to solve this problem:
Jeff is looking a robin in a 60 foot tall tree. The angle of elevation is 40 degrees. How far away is Jeff from the base of the tree?
Tan(40) = 60/x
measure of arc / 360 = x/2*pi*r
What is the formula for arc length?
If there is one additional line in a proof, after proving that a triangle is congruent to another triangle, then the reason for that line is this:
What is CPCTC
(x+4, y-5)
What is a translation that moves the preimage 4 right, 5 down.
Create an equation for the following:
You are in a hot air balloon, and are waving down at your family on the ground. Your line of sight from the balloon makes an angle of depression of 30 degrees, and is 300 feet long. How high is the balloon in the air at that moment?sin(30) = x/300
(x-3)^2 + (y+6)^2 = 100
What is the formula of a circle with center (3, -6) and radius of 10
Set up 2 ratios and cross multiply.
What is the best way to determine is sides of a shape are proportional
Scale factor of 1/4
Reduction (dilation that reduces the preimage)