Question

look at this shape:
image of a blue l - shaped figure on a grid
which image shows a rotation?
images of three blue figures labeled a, b, c on grids
a b c

Explanation:

Step1: Recall Rotation Definition

Rotation is a transformation that turns a figure around a fixed point (center of rotation) by a certain angle, preserving the shape and size. The orientation of the figure changes, but the shape and size remain the same.

Step2: Analyze Option A

Option A shows a reflection (mirror image) or a translation? Wait, no—wait, the original shape is an L - shape with the "corner" at the top - left of the blue part. Option A has the L - shape flipped horizontally? No, actually, when we rotate the original shape 180 degrees or 90 degrees? Wait, the original shape: let's visualize the original blue shape. The original shape has a vertical segment on the left (2 units?) and a horizontal segment on the bottom (3 units?). Option A: the vertical segment is on the right, and the horizontal segment is on the top. Wait, no—let's check the orientation. The original shape: if we rotate it 180 degrees, the direction of the L - shape would reverse. Wait, Option A: the blue shape in A is a rotation of the original. Wait, no—wait, the original shape: let's look at the grid. The original shape is in the upper part of the first grid. Now, Option A: the blue shape is a 180 - degree rotation? Wait, no, maybe 90 - degree? Wait, no—let's check the other options. Option B: it looks like a translation (moved down and right) with the same orientation. Option C: the shape is distorted? No, Option C is not the same shape. Wait, Option A: the original shape, when rotated 180 degrees, would have the "corner" in the opposite direction. Wait, the original shape: the blue part has a vertical column (2 squares) and a horizontal row (3 squares) extending to the right. In Option A, the vertical column is on the right, and the horizontal row is extending to the left. So that's a 180 - degree rotation? Wait, no, maybe 90 - degree clockwise? Wait, no—let's think again. Rotation changes the orientation. Option B is the same orientation as the original (just moved), so it's a translation. Option C is a different shape (the corner is indented). So Option A is a rotation. Wait, maybe I made a mistake. Wait, the original shape: let's count the squares. Original shape: the blue part has 2 (vertical) + 3 (horizontal) - 1 (overlap) = 4 squares? Wait, no, the original blue shape: the vertical segment is 2 squares high, and the horizontal segment is 3 squares long, with the vertical segment attached to the left - most square of the horizontal segment. So the original shape is like:

□□
□□□

In the original (first grid), the vertical part is on the left of the horizontal part. In Option A, the vertical part is on the right of the horizontal part, and the horizontal part is reversed. So that's a 180 - degree rotation. Option B is the same as the original (just moved down and right), so it's a translation. Option C is a different shape (the corner is a square missing? No, Option C's shape is not the same as the original. So Option A is a rotation.

Answer:

A. Option A