Sine, Cosine and Tangent
Similarity
Transformations
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? In other words, what is true of the corresponding sides? What is true of the corresponding angles?
sides are Proportional, angles are congruent
100
What is the image of A(-5,4) when reflected over the x-axis?
(-5,-4)
100
How do we write out Pythagorean Theorem?
a2+b2=c2
100
What do you call a line that intersects a circle in exactly 2 places?
A Secant
200
What is the cosine ratio?
Adjacent over Hypotenuse
200
What are two of the three similarity shortcuts (postulate/theorems)
AA postulate, SSS Theorem, SAS Theorem
200
Dilate the triangle A(1,2) B(-3,6) C(0, -1) with a scale factor of 3 centered at the origin - what are the image coordinates?
A'(3,6) B' (-9,18) C'(0,-3)
200
The two legs are congruent and the hypotenuse equals the leg times the square root of 2 in what type of triangle?
45-45-90 or a right isosceles
200
What is the measure of an arc that is intercepted by a 70 degree central angle?
70 degrees
300
What ratio is equal to
(opp)/(adj)
Tangent (or Tan)
300
In two similar right triangles a leg is 4 inches and the corresponding leg in the other is 16 inches. The hypotenuse of the smaller triangle is 5 inches, what is the hypotenuse of the larger triangle?
20 inches
300
What type of symmetry, if any, does an isosceles trapezoid have?
One line of symmetry, no rotational.
300
What does x equal?
6
300
What is the measure of an inscribed angle if the measure of the arc that it intercepts is 120 degrees?
60 degrees
400
Which Trigonometric Ratio should I use to solve for Angle B? Solve
Inverse Cosine (Cos) and 66.4 degrees
400
Are these two triangles similar? How do you know?
yes, AA Theorem.
400
describe the transformation (x,y) becomes (-x,-y)
It is a 180 degree rotation
400
In a 30-60-90 triangle, the short leg is 12 cm, what is the length of the hypotenuse?
24 cm
Use shortcut or sin30=12/x
400
What is the length of an arc when the radius of the circle is 10 and the measure of the central angle intercepting the arc is 90 degrees?
What is about 15.7 units or 5pi units
500
Solve for Angle A.
23.6 Degrees (or about 24)
500
Are these two triangles similar? How do you know?
yes, SAS theorem.
500
Describe the transformation (x,y) becomes (-y,-x)
Reflection over the line y=-x
500
In a right triangle one leg is 9 inches, the other leg is 12 inches, what is the hypotenuse length?
15 inches
500
Write the equation of a circle in standard form that has a center at (5,-9) and radius of 8.
(x-5)2 + (y+9)2 = 64