Transformation Rules

Question 0

A) Line Reflection

R y-axis…

Answer 0

(x,y)–>(-x,y)

Reflecting over the y axis flip the sign of the x and keep the value of the y.

Question 1

A) Line Reflection:

R x-axis…

Answer 1

(x,y)–>(x,-y)

Flip the sign of the y value and keep the x value.

Question 2

A) Line Reflection

R y=x

Answer 2

(X,y)–>(y,x)

When reflecting over y=x change the positions of the values.

Question 3

A) Line Reflection

R y= -x…

Answer 3

(x,y)–>(-y,-x)

For Reflection over y=-x flip the values and negate.

Question 4

B) Point Reflection

R origin…

Answer 4

(x,y)–>(-x,-y)

When reflecting negate both values.

Question 5

C) Translation

T a,b

Answer 5

(x,y)–>(x+a,y+b)

When translating add the translations to the values.

Question 6

D) Dilation

D k

Answer 6

(x,y)–>(xk,yk)

Multiply or divide the dilation to the values.

Question 7

E) Rotation

R(90)

Answer 7

Flip the values and negate the x

Question 8

E) Rotation

R(180)

Answer 8

Negate both values.

Question 9

E) Rotation

R(270)

Answer 9

Flip values and negate the y values.

Question 10

E) Rotation

R(-90)

Answer 10

R(+270) change positions and negate both.

Question 11

E) Rotation

R(-180)

Answer 11

R(+180)

Negate both

Question 12

E) Rotation

R(-270)

Answer 12

R(+90)

Change positions and negate first number.

Question 13

What is Isometry?

Answer 13

A transformation that preserves distance.

Question 14

What is direct Isometry?

Answer 14

Preserves orientation

• translation
• rotation

Question 15

What is opposite Isometry?

Answer 15

Changes orientation

-reflection

Question 16

What transformation is not Isometry?

Answer 16

Dilation

Question 17

What is guide reflection?

Answer 17

A slide followed by a reflection

Question 18

What is orientation?

Answer 18

Preserves the order of the points.

A,B,C –> A’, B’, C’

Question 19

What is the equation of a circle?

Answer 19

(X-h)^2+(y-k)^2= r^2

Question 20

When you are finding the center of a circle what do you do with the center values?

Answer 20

You negate both values (or un-negate them)

Question 21

When doing the equation of a circle what is the only transformation that changes the value of the radius?

Answer 21

Dilation

Question 22

When you are doing compositions which way do you read the problem?

Answer 22

Right to left

Question 23

What happens to the points X and Y when you rotate them about the origin?

Answer 23

You negate both values

Question 24

Which type of symmetry does the letter D have

Answer 24

Line symmetry only

Question 25

Which letter has vertical line symmetry? T, P, S, E?

Answer 25

T