Spatial Reasoning and Awareness Tests | AssessmentDay - Free Printable

Let's solve this step-by-step.

We are given a 3D object (a block-shaped figure with an L-shape in 3D) and asked to determine which of the four options (A, B, C, D) is a rotation of that original object.

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Step 1: Understand the Original Object

The original figure is a 3D shape made of two rectangular blocks:

- A long horizontal block.
- A smaller block attached perpendicularly at one end, forming an L-shape when viewed from above or side.

There’s also a small black square on the side of the main block — this is likely a reference point to help identify orientation.

So we have:
- An L-shaped 3D block.
- The black square is on the side face of the longer part.

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Step 2: Analyze Each Option

We need to find which option shows the same shape, just rotated in space. Rotations preserve shape, size, and relative positions — only orientation changes.

Let’s go through each choice.

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#### Option A

- This shows an L-shape, but the small block is on the top, and the "cut" is on the bottom.
- The black square appears on the side of the vertical part.
- But in the original, the black square is on the longer horizontal part, not the shorter one.
- Also, the orientation seems flipped — the way the L bends is different.

→ Not a rotation — the black square is on the wrong part.

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#### Option B

- This shows the L-shape with the short block extending from the bottom right.
- The black square is on the side of the long horizontal part — same as original.
- The overall structure matches: long base, short extension perpendicular to it.
- If you rotate the original object downward or around the vertical axis, you can get this view.

Wait — let’s check more carefully.

In the original:
- The L is oriented so that the short block extends upward from the right end of the long block.
- In B, the short block extends forward from the bottom right — could be a rotation.

But note: in the original, the black square is on the side of the long block, facing toward us.

In B, the black square is not visible — but if it were rotated, it might be on the back or side.

Wait — actually, in B, there’s no black square shown. That’s a problem.

Looking again: the original has a black square on the side of the long block.

In B, the black square is missing. But wait — maybe it's not visible due to angle?

No — in B, the side of the long block is visible, and no black square is present.

So unless the black square is hidden, this can’t be correct.

But perhaps the black square is not meant to be a feature? Wait — it's clearly marked.

Let’s recheck all options for presence of the black square.

Actually, looking closely:

- Original: black square on side of long block.
- A: black square on side of short block → wrong position.
- B: no black square visible → possibly rotated away?
- C: black square on side of short block → wrong.
- D: black square on side of long block — same as original.

Wait — let’s look again.

Actually, in Option D, the black square is on the side of the long block, same as original.

And the shape: long block, short block extending from the right end, but now facing forward — like a rotation.

Let’s compare:

Original:
- Long block horizontal.
- Short block sticks up from the right end.
- Black square on side of long block, facing toward viewer.

Now consider rotating the original 90 degrees around the vertical axis, so the long block goes from horizontal to pointing into the screen.

Then the short block would stick out to the right.

But in D:
- The long block is horizontal.
- The short block is sticking out from the top? No — wait.

Wait — let’s sketch mentally.

In Option D:
- The long block is horizontal.
- The short block is attached to the top-right corner, but going upward.
- The black square is on the side of the long block, same as original.

But in the original, the short block is above the long block? Or to the side?

Wait — original: the long block is flat, and the short block is attached to its end, extending upward — so it’s like a step.

So the original is like a “step” going up at the right end.

Now look at Option D:
- It shows a similar step, but the short block is on the left, and the black square is on the side of the long block.

But in D, the black square is on the left side of the long block.

In the original, the black square is on the right side of the long block.

Wait — let’s clarify.

In the original image:
- The long block extends left to right.
- The black square is on the right side of the long block (i.e., the side facing the viewer).
- The short block is attached to the right end, extending upward.

So the black square is on the front face of the long block, near the right end.

Now look at Option D:
- The long block is horizontal.
- The short block is attached to the right end, extending upward — same as original.
- The black square is on the side of the long block — and since the long block is facing the same way, the black square is on the front face — same as original.

Yes! So D matches.

Now check Option B:
- Long block horizontal.
- Short block attached to bottom right, extending downward.
- But in original, short block extends upward.
- So this is a mirror image or upside-down — not a rotation.

Rotations preserve handedness — flipping direction may not be allowed unless it's a valid rotation.

But rotating the object 180 degrees around a horizontal axis would flip it upside down — but then the short block would be below.

But in B, the short block is below — but the black square is not visible — and the shape is inverted.

But the original has the short block above the long block — so B has it below — so it’s not a rotation, it’s a reflection or inversion.

Similarly, Option A: short block is on the top, but the long block is oriented differently — the black square is on the back or side of the short block — not matching.

Option C: short block is on the bottom right, and black square on the side of the short block — again, wrong location.

Only Option D has:
- The short block extending upward from the right end.
- The black square on the side of the long block, same as original.

Moreover, the orientation of the L-shape matches: long horizontal, short vertical.

Thus, D is a rotation of the original — specifically, a rotation around the vertical axis or a slight tilt.

Wait — but is D exactly the same?

Actually, comparing the perspective:

- Original: we see the top and front.
- D: we see the top and front — same view.

But in D, the short block is attached to the right end, and the black square is on the side of the long block, just like original.

Yes — so D is the same orientation as original — but is it a rotation?

Wait — actually, if it's identical, then yes — a rotation by 0 degrees is still a rotation.

But the question is: which figure is a rotation of the object?

So even if it looks the same, it's acceptable.

But let’s check if any other option could be a rotation.

Is B a rotation?

If we rotate the original 180 degrees around the horizontal axis, the short block would go from up to down — so B would result.

But in that case, the black square would move from front to back — so it wouldn't be visible.

But in B, the black square is not visible — but we don’t know if it’s there.

But in the original, the black square is on the front — after 180-degree rotation, it would be on the back, so not visible.

So B could be a rotation — but only if the black square is still present but hidden.

But in the diagram, B does not show the black square, while D does.

But in the original, the black square is visible.

In D, it is visible — and in the same relative position.

So D is consistent.

But wait — in D, the black square is on the side of the long block, but in the original, it's on the side, but is it on the same face?

Let’s think about the viewing angle.

In the original, the long block is horizontal, and we see the top and front.

The black square is on the front face of the long block.

In D, the long block is horizontal, and we see the top and front — and the black square is on the front face — same as original.

So D is identical to the original — so it's a rotation by 0°.

But the question says “which figure is a rotation”, implying it might be different.

But technically, any object is a rotation of itself.

But perhaps the question means “a different orientation”.

But among the choices, only D preserves both the shape and the position of the black square.

Let’s double-check:

- A: black square on short block → wrong.
- B: black square not visible → possibly rotated away, but short block is below → not a rotation (would require flipping).
- C: black square on short block → wrong.
- D: black square on long block, same side → correct.

Also, the shape in D matches: long block, short block on the right end, extending up.

Yes.

Therefore, D is the correct answer.

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✔ Final Answer: D

It is a rotation of the original object because:
- The shape is identical.
- The black square is on the same relative face (side of the long block).
- The orientation is consistent with a rotation (e.g., slightly tilted or viewed from a different angle).

Other options either have the black square in the wrong place or the short block in the wrong direction.

Answer: D