Transformations
What are the 4 types of transformations?
Translations
Rotations
Reflections
Dilations
What is a transversal?
A line that passes through two lines in the same plane
what is the rule for a perpendicular line?
the slopes are negative reciprocals
how much is half a circle? how much is a full circle?
180, 360
When working with trigonometry, what shape are you going to use/ evaluate?
Right Triangle
Point (4,10) is rotated 90 degrees about the origin, what are the new coordinates?
(-10,4)
When a transversal cuts two parallel lines _____ are formed. Both ____ and _____ angles have 4 angles that lie on the parallel lines.
Angles; Interior; Exterior
write an equation in slope intercept form for the line that contains point (3, -7) and is parallel to y=5x +15
y=5x-22
A circle has Point B, and Point A on opposite ends from each other in the middle of the circle. And has point C 35 from point A, what is CAB?
180+35=215
The unknown value in a trigonometric equation is represented by_____.
The Greek Letter called theta
When rotating a certain degree about the origin which thing(s) are changes in the pair? (90 degrees clockwise, 90 degrees counterclockwise, and 180 degrees).
90 degrees clockwise - change sign of x and the order
90 degrees counterclockwise - change the sign of y and the order
180 degrees - only change the sign, not the order
Alternate interior angles formed by parallel lines and a ______ have the same measure.
Transversal
write an equation in slope intercept form for the line that contains point (8,6) and is parallel to y=7x+9
y=7x+50
A circle with Point A and point B going across from each other in the middle with point O in the middle, as well as point C between A and B, what is AOB?
180
If points A(-2,-5), B(-6,-4), C(-1,-1) are reflected across the line x=2, what are the points new points of the figure?
A(6,-5)
B(10,-4)
C(5,-1)
*Consider a standard transversal figure*
If angle 5 is 101 degrees and angle 1 is 4x, what is the value of x if both angles are corresponding?
x=25.25
101/4=4x/4
25.25=8
write an equation in slope intercept form for the line that contains point (12,-4) and is parallel to y=4/1x+3
y= -4x+44
A circle with 110 in the middle point between Line B and A, what is arc AB
110
A figure with points A(2,5), B(2,8), C(5,5), D(5,8) is drawn on a grid. The figure's translation is described by T(7,-3). List the new points of the figure and which quadrant the figure is in if it moved.
Quadrant 2
A=-5,5
B=-5,8
C=-2,5
D=-2,8
Find the value of x if m angle 3= 5x+13 and m angle 5=53 degrees.
m angle 5= 53
m angle 3= 5x+13
5x+13=53
53-13=40
5x/5=40/5
x=8
write an equation in slope intercept form for the line that contains point (64,-10) and is parallel to y=-8/1x+14
y=1/8x -18
A circle with point A and B opposite from each other across point O in the middle, with 55 degrees being the distance between line B and C, whats AC?
AC= 180 +55=235
360-235=125