Transformation

Question 1

Translation

Answer 1

Object + Translation Vector= Image

Question 2

Reflection Matrices- x-axis

Answer 2

1 0

0 -1

Question 3

Y- axis

Answer 3

-1 0

0 1

Question 4

y=x

Answer 4

0 1

1 0

Question 5

y=-x

Answer 5

0 -1

-1 0

Question 6

Rotation Matrices about the origin -

90° anti-clockwise / 270°clockwise

Answer 6

0 -1

1 0

Question 7

180° clockwise/ 180° anti clockwise

Answer 7

-1 0

0 -1

Question 8

270° anti-clockwise/ 90° clockwise

Answer 8

0 1

-1 0

Question 9

360° clockwise or anticlock wise

Answer 9

1 0

0 1

Question 10

Rotation when the center of Rotation is not the origin

Answer 10

Subtract the center of rotation from each coordinates of the object
Multiply the rotation matrix by the resultant matrix
Add the center of rotation coordinate to each of the coordinates from the matrix in step 2

Question 11

Enlargement

Answer 11

Coordinates of image * scale factor

Question 12

Area of image

Answer 12

(Scale factor)^2* area of object

Question 13

Single matrix

Answer 13

2nd transformation matrix* 1st transformation matrix

Question 14

Inverse transformation

Answer 14

Determinant * adjoint