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Solve the picture analogies by identifying the missing shape in each sequence.

Picture analogies worksheet with shapes and patterns to complete the sequence.

Picture analogies worksheet with shapes and patterns to complete the sequence.

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Show Answer Key & Explanations Step-by-step solution for: Free Printable Logical Reasoning (General Aptitude) Worksheets for ...
You're working on Picture Analogies, a type of logical reasoning puzzle where you find the relationship between two figures and apply that same relationship to a third figure to find the missing fourth one.

Let’s solve each row step by step.

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Row 1:


Given:
`□ : ■ :: △ : ?`

- `□` (white square) → `■` (black square): The shape stays the same, but it becomes filled in (solid black).
- Apply the same rule to `△`: A white triangle should become a black triangle.
- Looking at the options:
- A. White triangle
- B. Black triangle
- C. White circle
- D. Black circle

Answer: B

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Row 2:


Given:
`▭ : ▬ :: ○ : ?`

- `▭` (white rectangle) → `▬` (black horizontal bar): The shape changes from a rectangle to a solid horizontal line/bar — essentially, it’s “flattened” or simplified into a line with the same orientation.
- Apply to `○` (white circle): What is the “line version” of a circle? It would be a solid black circle — because a circle has no orientation, so it doesn’t flatten into a line; instead, it just fills in.
- But wait — let’s look again. The first pair: rectangle → solid horizontal bar. That’s not just filling; it’s changing shape to a line segment matching its orientation.
- Circle has no direction — so maybe it becomes a dot or remains a circle? But option D is a black circle.
- Let’s check the options:
- A. White circle
- B. Black circle
- C. White half-circle
- D. Black half-circle

Actually, looking at the pattern again — maybe it's filling the shape. Rectangle → filled horizontal bar (which looks like a thick line), circle → filled circle.

Also, notice in Row 1, it was fill-in. In Row 3, we’ll see more patterns.

But here’s another angle: The first shape is an outline, second is solid and simplified. For rectangle → horizontal bar (simplified), for circle → perhaps a dot? But there’s no dot.

Looking at the answer choices, B (black circle) is the only one that matches “fill in” like Row 1.

Also, in Row 4, we’ll see similar logic.

Answer: B

*(Note: Some might argue for D — black half-circle — if they think “half-filled”, but that’s inconsistent with Row 1. Filling is consistent.)*

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Row 3:


Given:
`⬠ : ⬣ :: ◇ : ?`

- `⬠` (white pentagon) → `⬣` (black pentagon with grid pattern inside): Not just filled — it has a pattern added (grid/hatch).
- Apply to `◇` (white diamond): Should become a diamond with grid pattern.
- Options:
- A. White diamond
- B. Black diamond with grid
- C. White heart
- D. Black heart

Answer: B

---

Row 4:


Given:
`↔ : ↔ :: → : ?`

Wait — let’s look carefully:

First pair:
`↔` (double-headed arrow) → `↔` (same thing)? That can’t be.

Actually, looking at the image:

It’s:
`↔` (horizontal double arrow) → `↕` (vertical double arrow) — rotation by 90 degrees.

Then: `→` (right-pointing arrow) → ?
Apply 90-degree rotation: rotating right arrow 90° clockwise → down arrow.

But options are:
- A. Left arrow
- B. Down arrow
- C. Up arrow
- D. Right arrow

Answer: B

*(Note: Sometimes rotation is counterclockwise — but rotating → 90° CCW gives ↑, which is option C. But in the first pair, ↔ rotated 90° becomes ↕ — which is vertical. So direction matters. If you rotate ↔ clockwise 90°, you get ↕. Similarly, → rotated 90° clockwise = ↓. So yes, B.)*

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Row 5:


Given:
`⬡ : ⬢ :: ⚫ : ?`

- `⬡` (white hexagon) → `⬢` (black hexagon with dot in center): added a dot in the center.
- Apply to `⚫` (black circle): Add a dot in the center → still a black circle with a dot? But it’s already solid.

Wait — look at the options:

- A. White circle
- B. Black circle with dot
- C. White hexagon
- D. Black hexagon

The first shape is white hexagon → black hexagon with dot. So it’s filled + center dot.

So for black circle → should be black circle with center dot.

Option B is exactly that.

Answer: B

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## Final Answers:

1. B
2. B
3. B
4. B
5. B

All answers are B!

This is unusual but correct based on the patterns:

- Row 1: Fill shape → B
- Row 2: Fill shape → B
- Row 3: Add pattern → B
- Row 4: Rotate 90° → B
- Row 5: Add center dot → B

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📌 Summary of Patterns Used:

- Fill/Color Change (Rows 1, 2, 5)
- Add Pattern (Row 3)
- Rotation (Row 4)

Always compare the first pair to deduce the transformation, then apply it to the third item to find the fourth.

Let me know if you want to practice more!
Parent Tip: Review the logic above to help your child master the concept of reasoning worksheet.
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