Which of these sequences of transformations would not return a shape to its original position? *
0 points
Translate 3 units up, then 3 units down.
Reflect over line p , then reflect over line p again.
Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

Transformation involves changing the position of a shape.

The transformation that would not return a shape to its original position is:

(a) Translate 3 units up, then 3 units down

(b) Reflect over line p, twice

(c) Translate 1 unit right, 4 units left and 3 units right

We have:

(d) Rotate counterclockwise around center C, then rotate counterclockwise around C again

The first rotation is given as:

-- counterclockwise

The second rotation is given as:

-- counterclockwise

The total rotation is calculated as:

This means that the shape is rotated counterclockwise.

For the shape to return to its original location, it must be rotated counterclockwise.

Hence, option (d) is correct

Read more about transformations at:

link

4.Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

Step-by-step explanation:

We have the following statements:

1.Translate 3 units up, then 3 units down.

Translating a graph 3 units up , and then 3 units down will counter cancel each other . Original position returned here!

2.Reflect over line p , then reflect over line p again.

Reflecting over line p , and then again reflecting over p , counter cancelling each other . Original position returned here!

3.Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

Translating 1 unit right and 4 units left i.e. move 3 left units then 3 units right which counter cancel each other . Original position returned here!

4.Rotate 120 degrees counterclockwise around center C , then rotate 220 degrees counterclockwise around C again

Rotating 120 degrees counterclockwise around center C , then rotating 220 degrees counterclockwise around C again will let it differ from 340 degrees from original position . Here  , these sequences of transformations would not return a shape to its original position.

the answer is 48m^2!

step-by-step explanation:

step-by-step explanation: