Describe the transformation in the diagram. (1 point) Responses 180° counterclockwise rotation about the origin 180 degrees counterclockwise rotation about the origin 90° counterclockwise rotation about the origin 90 degrees counterclockwise rotation about the origin 90° clockwise rotation about the origin 90 degrees clockwise rotation about the origin 270° counterclockwise rotation about the origin

Answer 1

To accurately describe the transformation in the diagram, it is essential to analyze the direction and angle of rotation applied to the shape in question.

If you are looking for a specific transformation based on a diagram that depicts points before and after rotation around the origin, you would identify the transformation by examining the position of those points:

1. A 90° counterclockwise rotation about the origin moves points according to the rule (x, y) → (-y, x).
2. A 180° rotation (either clockwise or counterclockwise) would change points according to the rule (x, y) → (-x, -y).
3. A 270° counterclockwise rotation (or a 90° clockwise rotation) moves points as (x, y) → (y, -x).

If you can indicate which transformation the diagram represents based on the above transformations, you would arrive at the correct response.

Without the diagram, I can't definitively tell you which transformation is appropriate, but I hope this explanation helps clarify how you might identify it!

Answer 2

The first coordinates of the original shape is, A is, (-4,2) B is, (-3,-1) C is, (-1,-2). The next shape which has been rotated is, A' is, (2,-4) B' is, (1,-3) C' is, (2,-1)

Answer 3

To determine the transformation from the original coordinates to the new coordinates (after rotation), we need to analyze the relationship between the corresponding points.

Original points:

• A: (-4, 2)
• B: (-3, -1)
• C: (-1, -2)

New points after transformation:

• A': (2, -4)
• B': (1, -3)
• C': (2, -1)

Now, let's apply the rules of rotation to see what transformation was applied:

Checking the transformation of point A:

Original: A (-4, 2)
New: A' (2, -4)

To get from A to A', apply the following transformations:

• Original x = -4 → New x = 2
• Original y = 2 → New y = -4

Checking the transformation of point B:

Original: B (-3, -1)
New: B' (1, -3)

• Original x = -3 → New x = 1
• Original y = -1 → New y = -3

Checking the transformation of point C:

Original: C (-1, -2)
New: C' (2, -1)

• Original x = -1 → New x = 2
• Original y = -2 → New y = -1

Analyzing the Rotations:

Looking at the changes, we can deduce:

• A moves from (-4, 2) to (2, -4).
• B moves from (-3, -1) to (1, -3).
• C moves from (-1, -2) to (2, -1).

It appears that these points have gone through a 90° counterclockwise rotation around the origin.

Summary:

The transformation described by the changes in the coordinates is a 90° counterclockwise rotation about the origin.