Question

Here are some transformation rules. For each transformation, first predict what the image of triangle ABC will look like. Then compute the coordinates of the image.

(x, y) —-> (x -4, y -1)

A’ = ???
B’ = ???
C’ = ???


(x, y) —-> (y, x)

A’ = ???
B’ = ???
C’ = ???


(x, y) —-> (1.5x, 1.5y)

A’ = ???
B’ = ???
C’ = ???

Answer 1

See below

Explanation:

Givens:

A (2,3)

B (4,2)

C (3,5)

1. Subtract each x and y value by 4: (x-4,y-4)

A (-2,-1)

B (0,-2)

C (-1,1)

2. Flip the x and y values: (y,x)

A (3,2)

B (2,4)

C (5,3)

3. Multiply each point by 1.5: (1.5x,1.5y)

A (3,4.5)

B (6,3)

C (4.5,7.5)