transformation formulas

Question 1

reflection across the x-axis

Answer 1

(x,y)—->(x,-y)

Question 2

reflection across the y-axis

Answer 2

(x,y)—> (-x,y)

Question 3

reflection across the line y=x

Answer 3

(x,y)—>( -y,-x)

Question 4

90 degrees rotation counterclockwise (270 clockwise)

Answer 4

(x,y) — (-y,x)

Question 5

180 degrees rotation

Answer 5

(x,y)–>(-x,-y)

Question 6

270 degrees counterclockwise

Answer 6

(x,y)—> (y,-x)

Question 7

To rotate about a point other than the origin

Answer 7

1) subtract the point of rotation off each vertex point of the shape
2) rotate as you would around the origin
3)add the point of rotation back to each vertex