Complete the Patterns worksheet for identifying and continuing shape sequences.

Let's solve the pattern completion task step by step. The goal is to identify the repeating pattern in each row and fill in the two missing shapes.

We’ll go row by row.

---

Row 1:

`□ _ △ _ □ △ △ □`

Let’s look at the sequence:

- Position 1: □
- Position 2: ?
- Position 3: △
- Position 4: ?
- Position 5: □
- Position 6: △
- Position 7: △
- Position 8: □

Now, let’s compare the end of the sequence with the beginning.

Looking at positions 5–8: `□ △ △ □` — this looks like a possible pattern.

But earlier: `□ _ △ _` → maybe it's alternating?

Wait — let's try to see if there’s a repeating unit.

Try grouping:
- Positions 1–4: □ _ △ _
- Positions 5–8: □ △ △ □

Hmm. But position 5 is □, which matches position 1.

Maybe the pattern is: □ △ △ □, repeated?

Check:
- First group: □ △ △ □ → but we have □ _ △ _ → so missing one △ and one □? Doesn't fit.

Wait — perhaps it's □ △ □ △? But then we’d expect alternation.

But after that, we have □ △ △ □ — not matching.

Wait — let's list all:

Positions:
1: □
2: ?
3: △
4: ?
5: □
6: △
7: △
8: □

So from pos 5–8: □ △ △ □ — could be a block.

What about pos 1–4? If the same pattern repeats, then pos 1–4 should be □ △ △ □.

But we have:
- pos 1: □
- pos 2: ?
- pos 3: △
- pos 4: ?

So to match □ △ △ □, pos 2 should be △, pos 4 should be □.

Then the full sequence would be:
□ △ △ □ □ △ △ □ → but wait, that would make pos 5 = □, pos 6 = △, pos 7 = △, pos 8 = □ — which matches!

So yes! The pattern is □ △ △ □, repeated.

So:
- Row 1: □ △ △ □ □ △ △ □

Thus, the two blanks are:
- Pos 2: △
- Pos 4: □

✔ Answer: △, □

---

Row 2:

`△ □ □ _ _ □ □ △`

Wait — no: it's:
`△ □ □ _ _ □ □ △`

Let’s write it:

1: △
2: □
3: □
4: ?
5: ?
6: □
7: □
8: △

Look at positions 6–8: □ □ △

Compare with start: △ □ □ → reverse?

Wait — maybe the pattern is △ □ □, then something?

But then next is _ _ □ □ △

Wait — what if the pattern is △ □ □ △?

But we have:
- △ □ □ _ _ □ □ △

So if the pattern is △ □ □ △, then:
- First block: △ □ □ △ → but we only have △ □ □ _ → so pos 4 should be △

Then pos 5–8: _ □ □ △ → so pos 5 should be △?

Then sequence: △ □ □ △ △ □ □ △

But that gives: pos 5 = △, pos 6 = □, pos 7 = □, pos 8 = △ — matches!

But does the middle repeat? Let's check:

- Block 1: △ □ □ △
- Block 2: △ □ □ △

Yes! So the pattern is △ □ □ △, repeated.

But our row is:
1: △
2: □
3: □
4: ? → should be △
5: ? → should be △
6: □
7: □
8: △

Wait — but pos 5 is blank, and pos 6 is □ — so if pattern is △ □ □ △, then pos 5 must be △.

But then pos 5 = △, pos 6 = □ — yes.

So the two blanks are:
- Pos 4: △
- Pos 5: △

Wait — but that makes two consecutive △'s in the middle: pos 4 and 5 both △?

Sequence: △ □ □ △ △ □ □ △

That’s fine — the pattern is △ □ □ △, so two blocks: first △ □ □ △, second △ □ □ △.

So yes.

✔ Answer: △, △

---

Row 3:

`□ □ _ _ □ □ ○ □`

Positions:
1: □
2: □
3: ?
4: ?
5: □
6: □
7: ○
8: □

Look at the end: □ □ ○ □

And start: □ □ _ _

Maybe the pattern is □ □ ○ □?

But then we'd expect:
- Pos 1–4: □ □ ○ □
- But we have □ □ _ _ → so pos 3 should be ○, pos 4 should be □

Then pos 5–8: □ □ ○ □ — matches!

So the full pattern is □ □ ○ □, repeated.

So:
- Pos 3: ○
- Pos 4: □

✔ Answer: ○, □

---

Row 4:

`☆ ☆ △ ☆ _ ☆ _ ☆`

Positions:
1: ☆
2: ☆
3: △
4: ☆
5: ?
6: ☆
7: ?
8: ☆

Look at the pattern:
- 1: ☆
- 2: ☆
- 3: △
- 4: ☆
- 5: ?
- 6: ☆
- 7: ?
- 8: ☆

Notice: positions 1–4: ☆ ☆ △ ☆

Then 5: ?, 6: ☆, 7: ?, 8: ☆

But pos 6 and 8 are ☆, and pos 4 is ☆.

Maybe the pattern is ☆ ☆ △ ☆, repeated?

Then:
- Block 1: ☆ ☆ △ ☆ → pos 1–4
- Block 2: ☆ ☆ △ ☆ → pos 5–8

So:
- Pos 5: ☆
- Pos 6: ☆ (already given)
- Pos 7: △
- Pos 8: ☆ (given)

Perfect!

So blanks:
- Pos 5: ☆
- Pos 7: △

✔ Answer: ☆, △

---

Row 5:

`○ ○ _ ○ _ ○ ○ ○`

Positions:
1: ○
2: ○
3: ?
4: ○
5: ?
6: ○
7: ○
8: ○

Wait — last three: ○ ○ ○

Start: ○ ○ _ ○

Maybe pattern is ○ ○ ○, but then why the gap?

Wait — look at the end: pos 6–8: ○ ○ ○

But pos 4: ○, pos 5: ?, pos 6: ○

Perhaps the pattern is ○ ○ ○, but interrupted?

Wait — maybe it's ○ ○ ○, but not repeating?

Another idea: maybe it's ○ ○ ○, then something else?

Wait — look at positions 1–3: ○ ○ ? → maybe it's a cycle.

But pos 4: ○ → so pos 3 might be ○?

Then sequence: ○ ○ ○ ○ ? ○ ○ ○

But pos 5 is blank.

Wait — perhaps the pattern is ○ ○ ○, and the blanks are both ○?

But then: ○ ○ ○ ○ ○ ○ ○ ○ — all ○? But pos 3 is blank, pos 5 is blank.

But pos 7 and 8 are ○, pos 6 is ○ — so pos 5 must be ○?

But then pos 4 is ○, pos 5 is ○ — fine.

But what about pos 3?

If the pattern is just all ○, then everything is ○.

But that seems too simple.

Wait — look again:

`○ ○ _ ○ _ ○ ○ ○`

So:
1: ○
2: ○
3: ?
4: ○
5: ?
6: ○
7: ○
8: ○

Is there a pattern?

From pos 6–8: ○ ○ ○ → three in a row.

Pos 4: ○, pos 6: ○ — so maybe even positions?

No.

Wait — what if the pattern is ○ ○ ○, and the blanks are just ○?

Then:
- Pos 3: ○
- Pos 5: ○

Sequence becomes: ○ ○ ○ ○ ○ ○ ○ ○ — all circles.

But is that valid?

But look at the structure: maybe it's ○ ○ ○, repeated every three?

But pos 1–3: ○ ○ ○ → then pos 4–6: ○ ○ ○ → but pos 4: ○, pos 5: ?, pos 6: ○ → so pos 5 = ○

Then pos 7–9: ○ ○ ○ — but only up to pos 8.

So yes, it fits.

But is there a different pattern?

Alternatively, maybe the pattern is ○ ○ ○, but not necessarily.

Wait — another possibility: maybe it's ○ ○ ○, but the blank at pos 3 is ○, and pos 5 is ○.

But then it's all ○.

But that seems trivial.

Wait — maybe the pattern is ○ ○ ○, and it's just missing two ○'s.

Yes.

But let’s check if there's an alternative.

Wait — look at the last three: ○ ○ ○ — solid.

Pos 6: ○, pos 7: ○, pos 8: ○

Pos 4: ○, pos 5: ?, pos 6: ○

So pos 5 must be ○ to continue the run?

But pos 3: ? — before pos 4: ○

Pos 2: ○, pos 3: ?, pos 4: ○

Could it be that the pattern is ○ ○ ○, and the entire row is just circles?

Yes — seems plausible.

But is there a break?

Wait — what if the pattern is ○ ○ ○, repeated.

Then:
- Group 1: pos 1–3: ○ ○ ○ → so pos 3 = ○
- Group 2: pos 4–6: ○ ○ ○ → so pos 5 = ○
- Group 3: pos 7–9: ○ ○ ○ → but only up to pos 8

So yes.

So blanks:
- Pos 3: ○
- Pos 5: ○

✔ Answer: ○, ○

---

Row 6:

`○ ○ _ ○ _ ○ △ ○`

Positions:
1: ○
2: ○
3: ?
4: ○
5: ?
6: ○
7: △
8: ○

This is trickier.

Start: ○ ○ ? ○

Then: ? ○ △ ○

End: ○ △ ○

Look at pos 6–8: ○ △ ○

Pos 4: ○, pos 5: ?, pos 6: ○

Wait — maybe the pattern is ○ ○ ○, but pos 7 is △ — so not.

Wait — perhaps it's ○ ○ △ ○?

But pos 1–4: ○ ○ ? ○ → if pattern is ○ ○ △ ○, then pos 3 = △

Then pos 5–8: ? ○ △ ○ → so pos 5 = ○

Then sequence:
1: ○
2: ○
3: △
4: ○
5: ○
6: ○
7: △
8: ○

But pos 6 is ○ — okay.

Now check: is the pattern ○ ○ △ ○ repeated?

Block 1: pos 1–4: ○ ○ △ ○ → yes
Block 2: pos 5–8: ○ ○ △ ○ → yes

Perfect!

So:
- Pos 3: △
- Pos 5: ○

✔ Answer: △, ○

---

Row 7:

`△ △ _ △ _ △ ○ △`

Positions:
1: △
2: △
3: ?
4: △
5: ?
6: △
7: ○
8: △

Look at end: △ ○ △

Start: △ △ _ △

Wait — pos 6: △, pos 7: ○, pos 8: △

So maybe pattern is △ ○ △?

But pos 4: △, pos 5: ?, pos 6: △

If pattern is △ ○ △, then pos 5 should be ○

Then pos 4–6: △ ○ △ → yes

But pos 3: ? — pos 2: △, pos 3: ?, pos 4: △

If pattern is △ △ △, but pos 7 is ○ — so not.

Wait — maybe the pattern is △ △ △, but pos 7 is ○ — so no.

Wait — perhaps the pattern is △ △ ○ △?

Let’s test:

Block 1: pos 1–4: △ △ ? △ → if pattern is △ △ ○ △, then pos 3 = ○

Then pos 5–8: ? △ ○ △ → so pos 5 = △

Then sequence:
1: △
2: △
3: ○
4: △
5: △
6: △
7: ○
8: △

But pos 6 is △ — okay.

Now check if pattern △ △ ○ △ repeats:

- Block 1: pos 1–4: △ △ ○ △ → yes
- Block 2: pos 5–8: △ △ ○ △ → yes

Perfect!

So:
- Pos 3: ○
- Pos 5: △

✔ Answer: ○, △

---

Row 8:

`○ ○ ○ ○ ○ _ ○ _`

Positions:
1: ○
2: ○
3: ○
4: ○
5: ○
6: ?
7: ○
8: ?

First five: all ○

Then pos 6: ?, pos 7: ○, pos 8: ?

But pos 7 is ○ — so maybe the pattern is all ○?

But then pos 6 and 8 should be ○.

But is there a pattern?

Wait — look at the end: pos 6: ?, pos 7: ○, pos 8: ?

But pos 5: ○, pos 6: ?, pos 7: ○

Could it be ○ ○ repeating?

But pos 1–5: five ○ — so maybe it's just all ○?

But why the blanks?

Wait — perhaps the pattern is ○ ○, repeated.

Then:
- pos 1–2: ○ ○
- pos 3–4: ○ ○
- pos 5–6: ○ ○ → so pos 6 = ○
- pos 7–8: ○ ○ → so pos 8 = ○

Yes!

So:
- Pos 6: ○
- Pos 8: ○

✔ Answer: ○, ○

---

## ✔ Final Answers:

Let’s compile all:

1. △, □
2. △, △
3. ○, □
4. ☆, △
5. ○, ○
6. △, ○
7. ○, △
8. ○, ○

---

✔ Completed Pattern Sheet:

```
Row 1: □ △ △ □ □ △ △ □
Row 2: △ □ □ △ △ □ □ △
Row 3: □ □ ○ □ □ □ ○ □
Row 4: ☆ ☆ △ ☆ ☆ ☆ △ ☆
Row 5: ○ ○ ○ ○ ○ ○ ○ ○
Row 6: ○ ○ △ ○ ○ ○ △ ○
Row 7: △ △ ○ △ △ △ ○ △
Row 8: ○ ○ ○ ○ ○ ○ ○ ○
```

(Note: Row 8 has 8 positions, and we filled the last two as ○.)

All patterns follow a repeating sequence.

---

🟩 Summary of Answers:

| Row | Missing Shapes |
|-----|----------------|
| 1 | △, □ |
| 2 | △, △ |
| 3 | ○, □ |
| 4 | ☆, △ |
| 5 | ○, ○ |
| 6 | △, ○ |
| 7 | ○, △ |
| 8 | ○, ○ |

✔ All completed!