Sine, Cosine and Tangent
Similarity
Scale Factor
Pythagorean Theorem and Special Right Triangles
Circles
100
What is the phrase we use to help us remember our Trigonometric Ratios?
SohCahToa
100
What does it mean when two shapes are similar?
same Proportions, different sizes
100
What is the scale factor for area?
k^2 (k squared)
100
How do we write out Pythagorean Theorem?
a2+b2=c2
100
What is the formula for circumference of a circle?
Either C = pi*diameter
or
C = 2*radius*pi
200
What does the C in Cah stand for?
Cosine
200
What are two of the three similarity Theorems
AA Theorem, SSS Theorem, SAS Theorem
200
A shape with a surface area of 12 square meters is scaled by a factor of 3.5, what is the surface area for this image?
147 square meters
200
What do you call the right triangle with legs 5-12-13?
What is a Pythagorean Triple
200
Find the area of the circle with radius 7 units to the nearest hundredth place.
What is 153.94 units squared
300
What ratio is equal to
(opp)/(adj)
Tangent (or Tan)
300
Corresponding angles in similar triangles are what?
Congruent
300
Given a cylindrical can with a volume of 100 cubic cm, what is the volume if scaled by a factor of 3/4?
42.1875 cubic cm
300
What does x equal? (remember your units)
6 cm
300
What is the center of the circle given the equation:
(x-5)^2 + (y+4)^2 = 25
What is (5, -4)
400
Solve for Angle A.
23.6 Degrees (or about 66)
400
Are these two triangles similar? How do you know?
yes, SAS theorem.
400
The volume of a shape is 500 inches cubed. Its image is 100 inches cubed. Find k.
k=.585
400
Given a leg of 17 and a hypotenuse of 21, find the missing leg.
Leg = 12.33
400
Find the radius of the circle given the following equation:
x^2 + (y-3)^2 = 130
Radius is approximately 11.4 units
500
Which Trigonometric Ratio should I use to solve for Angle B?
Cosine (Cos)
500
Are these two triangles similar? How do you know?
yes, AA Theorem.
500
How does a person use scale for volume?
Multiply by k^3 (or k cubed)
500
Find the diagonal of a rectangle with sides of 4 and 10.
What is 10.77 units
500
Find the area of a sector for a circle with radius of 12 produced by an angle of 155 degrees, to the nearest hundredth.
194.78 units squared