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# Rigid Motion Formula

### Geometry

rx-axis(x,y)= (x,-y)
ry-axis(x,y)= (-x,y)
ry=-x(x,y)= (-y,-x)
rx=1/ry=1= Draw a picture.
ry=x(x,y)= (y,x)
What do you do to points that are dilated by a certain number? Multiply each coordinate by the dilation.
How do you create an equation of a dilated line? Keep the slope, multiply the y-intercept.
How do you create new coordinates under a translation? Add/Subtract the numbers next to the T according to their corresponding number. (Can be described as a vector as well.)
How do you create new points based on 90 degree rotations? Bring the 2nd number to the front and make it negative.
Are distances preserved in dilations? No, but they are proportional.
Are angles preserved in dilations? Yes.
Rorgin(x,y)= (-x,-y)
What is the relationship between the ratio of sides and ratio of perimeters? They are equal.
What is the relationship between ratio of the sides are ratio of the areas? (Ratio of sides) squared = ratio of areas.
Created by: emarciante9