Transformation Rules Flashcards
A) Line Reflection
R y-axis…
(x,y)–>(-x,y)
Reflecting over the y axis flip the sign of the x and keep the value of the y.
A) Line Reflection:
R x-axis…
(x,y)–>(x,-y)
Flip the sign of the y value and keep the x value.
A) Line Reflection
R y=x
(X,y)–>(y,x)
When reflecting over y=x change the positions of the values.
A) Line Reflection
R y= -x…
(x,y)–>(-y,-x)
For Reflection over y=-x flip the values and negate.
B) Point Reflection
R origin…
(x,y)–>(-x,-y)
When reflecting negate both values.
C) Translation
T a,b
(x,y)–>(x+a,y+b)
When translating add the translations to the values.
D) Dilation
D k
(x,y)–>(xk,yk)
Multiply or divide the dilation to the values.
E) Rotation
R(90)
Flip the values and negate the x
E) Rotation
R(180)
Negate both values.
E) Rotation
R(270)
Flip values and negate the y values.
E) Rotation
R(-90)
R(+270) change positions and negate both.
E) Rotation
R(-180)
R(+180)
Negate both
E) Rotation
R(-270)
R(+90)
Change positions and negate first number.
What is Isometry?
A transformation that preserves distance.
What is direct Isometry?
Preserves orientation
- translation
- rotation
What is opposite Isometry?
Changes orientation
-reflection
What transformation is not Isometry?
Dilation
What is guide reflection?
A slide followed by a reflection
What is orientation?
Preserves the order of the points.
A,B,C –> A’, B’, C’
What is the equation of a circle?
(X-h)^2+(y-k)^2= r^2
When you are finding the center of a circle what do you do with the center values?
You negate both values (or un-negate them)
When doing the equation of a circle what is the only transformation that changes the value of the radius?
Dilation
When you are doing compositions which way do you read the problem?
Right to left
What happens to the points X and Y when you rotate them about the origin?
You negate both values
