Pattern recognition and rotation worksheet for identifying turns and continuing sequences.

Let’s go step by step to solve this problem.

We are looking at rows of shapes and deciding:
1. Is the pattern showing a half turn or a quarter turn?
2. Is it turning clockwise or anti-clockwise?
3. Also, we need to check if it’s in a clockwise or anti-clockwise direction — which is basically the same as above, so we’ll pick one that matches.

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Row 1: Butterflies

Look at the butterflies from left to right:

- First butterfly: facing up-right
- Second: facing down-right → turned 90° clockwise (quarter turn)
- Third: facing down-left → another 90° clockwise (so total half turn from start)
- Fourth: facing up-left → another 90° clockwise (three-quarter turn)

But wait — let’s look at how each one changes from the previous:

From 1st to 2nd: turns 90° clockwise → quarter turn
From 2nd to 3rd: turns 90° clockwise → quarter turn
From 3rd to 4th: turns 90° clockwise → quarter turn

So each step is a quarter turn clockwise.

✔ Circle: quarter turn, clockwise

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Row 2: Fish

Fish are facing different directions:

- 1st fish: facing right
- 2nd fish: facing down → turned 90° clockwise
- 3rd fish: facing left → another 90° clockwise
- 4th fish: facing up → another 90° clockwise

Again, each step is a quarter turn clockwise.

✔ Circle: quarter turn, clockwise

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Row 3: Dragons

Dragons:

- 1st: facing up
- 2nd: facing right → 90° clockwise
- 3rd: facing down → another 90° clockwise
- 4th: facing left → another 90° clockwise

Same pattern — quarter turn clockwise

✔ Circle: quarter turn, clockwise

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Row 4: Frogs

Frogs:

- 1st: facing up
- 2nd: facing right → 90° clockwise
- 3rd: facing down → another 90° clockwise
- 4th: facing left → another 90° clockwise

Again — quarter turn clockwise

✔ Circle: quarter turn, clockwise

Wait — but let’s double-check the frog row. Actually, looking again:

In the image, the frogs might be rotating differently? Let me think carefully.

Actually, in many such worksheets, sometimes the rotation alternates or flips. But based on standard interpretation:

If all four rows show consistent 90° clockwise rotations per step, then they’re all quarter turn clockwise.

BUT — let’s re-examine the first row (butterflies). Maybe I misread.

Alternative approach: Look at the *overall* change from first to last shape.

For example, in row 1:

First butterfly: wings up-right
Last butterfly: wings up-left → that’s a 180° turn (half turn) from start to end.

But the question says: “if the pattern is demonstrating a half turn or quarter turn” — meaning between each consecutive shape.

Since there are 4 shapes, and 3 steps between them, if each step is 90°, then total is 270°, but the pattern type is defined by the step size.

Standard curriculum teaches: if each shape turns 90° from the previous, it’s a quarter turn. If it turns 180°, it’s a half turn.

Looking back at the fish:

1st: right
2nd: down → 90° CW
3rd: left → 90° CW from down = 180° from start
4th: up → 90° CW from left = 270° from start

Each step is 90° → quarter turn.

Same for dragons and frogs.

But wait — what about the very first row? Butterflies:

Actually, in some versions, the butterflies might be flipping over (reflection), not rotating. But the worksheet says “turn”, so it should be rotation.

Assuming all are rotations:

All four rows show each shape turning 90° clockwise from the previous → so all are quarter turn clockwise.

But let’s check the answer choices — for each row, you circle one under “half turn / quarter turn” and one under “clockwise / anti-clockwise”.

So for all four rows, we circle:

→ quarter turn
→ clockwise

Now, part 10: Draw the next 3 pictures for these patterns.

There are three separate patterns:

Pattern A: Shapes like "7", "L", "7" — looks like letters or symbols.

Let’s see:

Position 1: “7” shape (like a backwards L with top bar)
Position 2: “L” shape (normal L)
Position 3: “7” again

This seems to alternate: 7, L, 7, ... so next should be L, then 7, then L?

But let’s think geometrically.

Actually, “7” and “L” might represent rotations.

Imagine a square corner:

- “7” could be top-right corner missing? Or perhaps it's a rotated version.

Better idea: Think of a single line segment turning.

Actually, looking at common patterns:

Often, “7” and “L” are used to show 90° rotations.

Suppose:

- “7” = shape pointing up-right
- “L” = shape pointing down-right? Not clear.

Alternative: Maybe it’s a reflection or flip.

But let’s look at the second pattern: squares with shaded parts.

Pattern B: Squares divided into 4 small squares.

1st: bottom-left shaded
2nd: bottom-right shaded
3rd: top-right shaded

So shading moves: bottom-left → bottom-right → top-right → that’s moving clockwise around the square.

Next should be: top-left shaded
Then: bottom-left again (but we only need next 3)

So:

4th: top-left shaded
5th: bottom-left shaded
6th: bottom-right shaded

Wait — let’s list positions:

Label the 4 quadrants:

TL | TR
BL | BR

1st: BL shaded
2nd: BR shaded
3rd: TR shaded
→ So moving clockwise: BL → BR → TR → TL → BL...

So next three:

4th: TL shaded
5th: BL shaded
6th: BR shaded

Yes.

Pattern C: Pencils

1st: pencil upright (point up)
2nd: pencil horizontal (point right)
3rd: pencil upside-down (point down)

So rotating 90° clockwise each time.

Next:

4th: pencil horizontal, point left
5th: pencil upright, point up (back to start)
6th: pencil horizontal, point right

But since it’s a cycle of 4, after 3 steps (up, right, down), next is left, then up, then right.

So:

4th: ← (pointing left)
5th: ↑ (pointing up)
6th: → (pointing right)

Now back to Pattern A: “7”, “L”, “7”

What does “7” and “L” represent?

Perhaps:

- “7” is like a mirror image of “L”

Or maybe it’s a rotation of a single shape.

Imagine a capital “L”:

- Normal “L”: vertical line down, then horizontal right → like └
- Rotated 90° clockwise: becomes ┌ (which looks like “7” if you tilt it?)

Actually, in many fonts:

- “L” rotated 90° clockwise looks like “Γ” (gamma), which resembles “7”

And rotated again: becomes “¬” or something.

But in the sequence: 7, L, 7

If “7” is 90° rotation of “L”, then:

Start with “L” (say, position 0°)

Rotate 90° CW → becomes “7”-like

Rotate another 90° CW → becomes upside-down “L” or something else

But here it goes: 7, L, 7 — which suggests alternating? That doesn’t make sense for rotation.

Unless it’s reflecting, not rotating.

Another idea: Perhaps “7” and “L” are two orientations, and it’s flipping back and forth.

But the pattern is: pos1=7, pos2=L, pos3=7 → so likely pos4=L, pos5=7, pos6=L

That would be simple alternation.

Given that, and since no other info, probably it’s alternating.

So for Pattern A: next three are L, 7, L

But let’s confirm with logic.

If we consider “7” as a shape that is mirrored or rotated, but since it repeats every 2 steps (7,L,7,...), period is 2.

So yes: 4th: L, 5th: 7, 6th: L

Okay.

Now summarize answers.

For question 9:

All four rows: quarter turn, clockwise

For question 10:

Pattern A (shapes): next three: L, 7, L

Pattern B (squares): next three: top-left shaded, bottom-left shaded, bottom-right shaded

Pattern C (pencils): next three: pointing left, pointing up, pointing right

Now write final answer clearly.

Final Answer:

For question 9:
- Row 1 (butterflies): quarter turn, clockwise
- Row 2 (fish): quarter turn, clockwise
- Row 3 (dragons): quarter turn, clockwise
- Row 4 (frogs): quarter turn, clockwise

For question 10:
- First pattern (7, L, 7): next three are L, 7, L
- Second pattern (shaded squares): next three have shading in top-left, then bottom-left, then bottom-right
- Third pattern (pencils): next three are pencil pointing left, then up, then right