A shape remains the same figure when it is turned about a point, even though its orientation and the positions of its vertices change. Matching shapes after quarter-turns, half-turns, or full turns develops recognition of equal side lengths, angles, and overall structure, while distinguishing rotation from changes in size or reflection; formal angle measures and general rotational transformations are not included.
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A turn changes which way a shape faces, but it does not change the shape itself.
To match a shape after a turn:
Example
The shape is made of four equal squares:
■■
■
■
Which shape shows a quarter-turn clockwise?
Choice 1
■■■
..■
Choice 2
■■■
■..
Choice 3
■■■
■■
Step 1: Count the squares.
The original shape has squares. Choice 1 and Choice 2 also have squares. Choice 3 has , so it cannot match.
Step 2: Notice the arms.
The original has one long arm going down and a shorter arm going right from the top.
Step 3: Turn the whole shape clockwise.
The long arm now goes across the top, and the shorter arm goes down from the right end:
■■■
..■
This is Choice 1.
Choice 2 has the bend facing the opposite way. It is a flipped shape, not a turn. The correct match is Choice 1.
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These adaptive units introduce, teach, or reinforce this skill (Match shapes after rotation) through scaffolded problems that grow in difficulty as concepts are understood.