Question

1. describe a sequence of transformations that maps ∆ ABC to ∆ A’ B’ C’.

2. abdulla is writing a program for a video game. for one part of the game he uses the rule: (x, y) —> (x + 5, - y) to move objects on the screen.

a) what output does the rule give when the input is (5, 3)? show your work.
b) what output does the rule give when the input is (-2, 7)? show your work.

3. draw the image of ∆ PQR after a counterclockwise rotation of 90 degrees about the origin. label the image ∆ P’ Q’ R’.

please show as much work as you can! i need this done by tonight so answering all questions would be very helpful. (first photo for first problem, second photo for third problem)

Answer 1

See below

Explanation:

1. First (x+10,y), -> (x,-y)

You add +10 to the x of each point moving the triangle horizontally and then you reflect it across the x-axys.

2.

a) Original point (5,3) -> (x+5,-y )

(5+5, 3(-1)) = (10, -3)

b) Original point (-2,7) -> (x+5, -y)

(-2+5, 7(-1)) = (3, -7)

3. The rule for counterclockwise rotation 90° is (x,y) -> (-y,x )

P = (1, -1) -> (1, 1)

Q = (3, -2) -> (2, 3)

R = (3, -4) -> (4, 3)