Rigid Transformations
What makes a transformation "Rigid"?
Stay the same size/volume/length
Whats the difference between a perpendicular line and parallel lines
perpendicular intersects at exactly 90 degrees and parallel have the same slope (will never touch)
Parallel lines have what in common and different what?
Same slope and different y-intercept
What does "Congruence" mean
same, equal to, anything that saying they're the same
If you're completely lost on solving an algebraic equation. What should you do first?
Combine like terms, Isolate the variables, simplify, anything but just do nothing
What are the 3 types of Rigid transformation
translation, reflection and rotation
Draw out what a line, Line segment and ray looks like (clearly label)
Line- goes on forever with no points
Line segment - have 2 or more points on the like
Ray- have one point and arrow on other side
what is the difference in slopes between two perpendicular lines? If line a has a slope of 3/4 slope b is ...?
-4/3
What does "supplementary" mean?
two angles that add up to 180
What is Perpendicular Bisector Theorem
If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Translate this image 2 up and 2 left
A(1,2), B(4,3), C(2,0), D(-1,-1)
A'(-1,4), B'(2,5), C'(0,1), D'(-2,1)
TRUE or FALSE: "Bisect" means to cut into two unequal pieces?
False, bisect means to cut into two EQUAL pieces
y=-3x+8; give me three parallel lines
anything with 3 as it slope and not 8 as the y-intercept
what angle relational type is supplementary
linear pair or adjacent angle
When given an algebraic expression, Walk the class through on how to solve solve it.
Ex. X+4+5X=3X+16
X=4
Reflect over triangle A(1,0),B(3,0),C(2,2) x=4
A'(7,0),B'(5,0), C'(6,2)
TRUE OR FALSE: Every type of segment bisector goes through the midpoint of the segment it's cutting?
True
write me the perpendicular line for the equation y=-4x+2
y=1/4x
what are 3 angle relational types that are congruent
vertical, corresponding, Alternate interior and alternating exterior angles
How do you notate that sides of a triangle are the same?
use dashes
Rotate the square A(0,0), B(2,0), C(0,2), D(2,2) 270 Degrees
A'(0,0), B'(-2,0), C'( 0,2), D'(-2,2)
TRUE or FALSE: Every perpendicular bisector is a segment bisector?
True, a perpendicular bisector always passes through the midpoint, so it always bisects the segment
the points (-2,5),(0,8). Find the slope of the line? Find the slope then for the perpendicular? Then write both into slope intercept form.
y=3/2, +/- y-intercept, y=-2/3x +/- y-intercept
Double points - look at the picture for the problem (on the projector)
Show what all the measure of angles areMr. Ridgeway will say if it is correct
If the sides of the triangle are congruent with one side being 6x+15 with the other one equaling 3x-9
X=-8