Question

1. write a rule that describes the transformation used to create △ rst from △rst.

a. how many units does the x - value move? (hint: choose one set of corresponding points above)
b. in which direction does the x - value move? (circle one below)
right left
c. which operation does the direction you circled above represent? (circle one below)
addition subtraction
d. how can you represent the movement of the x - value mathematically?
e. how many units does the y - value move?
f. in which direction does the y - value move? (circle one below)
up down
g. how can you represent the movement of the y - value mathematically?
h. write the rule that describes the transformation.
(x,y)→(__,__)

Explanation:

Step1: Identify coordinates of R and R'

Original R: (3, -3); R': (-3, 2)

Step2: Calculate x-movement (a)

Δx = -3 - 3 = -6 → 6 units

Step3: Determine x-direction (b)

x decreases → left

Step4: x-operation (c)

Left movement → subtraction

Step5: x-mathematical representation (d)

x → x - 6

Step6: Calculate y-movement (e)

Δy = 2 - (-3) = 5 → 5 units

Step7: Determine y-direction (f)

y increases → up

Step8: y-operation (g)

Up movement → addition

Step9: y-mathematical representation (h)

y → y + 5

Answer:

a. 6
b. left
c. subtraction
d. x - 6
e. 5
f. up
g. addition
h. (x - 6, y + 5)