Question

Students are practicing their dance for the school play. They need to startin position 1 located at (3,5) then go to position 2 at (1,2) , to position 3 at (-1,-1) and finnaly to position 4. Describe the translation between each position, and give the location of the 4th position .

Answer 1

Answer:

Part a) The translation between each position is 2 units to the left and 3 units down

Part b) The location of position 4 is (-3,-4)

Step-by-step explanation:

we know that

step 1

Position 1 is located at (3,5) and then go to position 2 at (1,2)

so

The rule of the translation Position 1 to Position 2 is

(x,y)-----> (x-2,y-3)

that means-----> The translation is 2 units to the left and 3 units down

step 2

Position 2 is located at (1,2) and then go to position 3 at (-1,-1)

so

The rule of the translation Position 2 to Position 3 is

(x,y)-----> (x-2,y-3)

that means-----> The translation is 2 units to the left and 3 units down

step 3

Find the location of the 4th position

Applying the rule of the translation to position 3 at (-1,-1)

(x,y)-----> (x-2,y-3)

(-1,-1)-----> (-1-2,-1-3) -------> (-3,-4)

The position 4 is (-3,-4)