math transformations

Question 1

what is the translation rule

Answer 1

add the transformation and the original point coordinate

Question 2

what is the rule for reflection over x axis

Answer 2

keep the x value the same, change the sign of the new y coordinate

Question 3

what is the rule for reflection over y axis

Answer 3

keep the y value the same and change the sign of the new x coordinate

Question 4

reflection over line y=x

Answer 4

swap the places of x and y coordinates

Question 5

rotate 180ccw

Answer 5

change the sign of the new x coordinate and change the sign of the new y coordinate

Question 6

rotate 90 cw

Answer 6

swap the places of the x and y coordinates then change the sign of the new x coordinates

Question 7

rotate 90 ccw

Answer 7

Swap x and y and make change the sign of the y