Transformations
Rotate 90 degrees counterclockwise about the origin is the same as...
270 degrees clockwise
True or False?
Complementary angles add up to 45 degrees.
False
What is the mnemonic device for remembering the definitions of the trigonometric functions?
SOHCAHTOA
What is an angle whose vertex lies on a circle and whose sides are cords of the circle called?
An Inscribed Angle
Lines that never intercept are called...
Parallel Lines
180 degrees rotation moves through how many quadrants?
2 quadrants
a pair of angles that lie on the outside of the two parallel lines but on either side of the transversal line
Alternate exterior angles
True or False?
The reciprocal of cosine is cosecant.
False
What is the measure of a central angle measure if its arc is 140 degrees?
The angle is 140 degrees as well.
The slope of perpendicular lines are?
Negative Reciprocals
What is the new coordinates of triangle A(3,4), B(-1,2), and C(4,-3) if it gets translated 4 units up and 7 units to the left?
A'(-4,8) B'(-8,6) C'(-3,1)
Given that they are alternate exterior angles. Find the value of x.
Angle 1 (16x - 8) Angle 2 (8 - 14x)
x = 8
What are the reciprocals for
-Sine?
-Cosine?
-Tangent?
-co-secant
-secant
-co-tangent
If an angle for an inscribed angle is 57 degrees what is the length of the arc?
114 degrees
Parallel, Perpendicular, or Neither?
y = 1/2x + 7
2x + y = -5
Perpendicular
What is the coordinates of the dilated rectangle WXYZ if the scale factor is 2/3?
W(1,-2) X(8,-2) Y(8,-5) Z(1,-5)
W'(2,-2) X'(6,-2) Y'(6,-4) Z'(2,-4)
M and N are corresponding angles. Angles N and O are supplementary. Find the value of x to help find the measure of angle O.
M = 2x + 100° N = 5x + 55°
O = 50°
What is the Hypotenuse of a right triangle is if the opposite is 5 inches and the adjacent is 12 inches?
Hint:A2+B2=C2
The Hypotenuse is 13 inches
Find the area of a sector with a central angle of 64 degrees and a diameter of 18?
Formula:兀R2 θ/360
Approximately 45.2 inches
Parallel, Perpendicular, or Neither?
-3x - 6y = -9 and -3x + 6y = -9
Neither
Rotate the polygon 270 degrees counter-clockwise about the origin THEN translate it 8 units to the right.
A(-1,5) B(-4,4) C(-4,2) D(-1,1) E(2,2) F(2,4)
A'(5,1) B'(4,4) C'(2,4) D'(1,1) E'(2,-2) F'(4,-2)
A"(13,1) B"(12,4) C"(10,4) D"(9,1) E"(10,2) F"(12,-2)
Angles G and H are complementary angles. Angle H is vertical to angle E. E and F are supplementary angles. What is the measure of angle F if G equals 74 degrees?
164 degrees
A cat is on a tree looking down at you at a 45 degree angle of depression. The height of the tree branch the cat was on from the ground is 10 ft. What is the distance of the cat to you?
Approximately 9.66 Ft
What is the arc length of a circle that has a central angle is 90 degrees and has a radius of 5 inches?
Hint:Its a formula!!
Approximately 7.9 inches
Write the equation of the line in slope intercept form that contains (7,2) and is perpendicular to y = -1/4x + 10
y = 4x - 26