Shape completion and tessellation identification worksheet.

Let’s solve this step by step.

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Part 1: Complete the other half (Column A → Column B)

We need to find which shape in Column B is the mirror image of the shape in Column A, so that when put together along the vertical line, they form a complete symmetrical shape.

Row 1:
- Column A shows the left half of a blue triangle pointing right.
- The full shape should be a complete triangle pointing right.
- Look at Column B options:
- First option: looks like a star or arrowhead — no.
- Second option: blue triangle pointing right — YES! This matches.
- Third: right triangle with hypotenuse on left — no.
- Fourth: rectangle — no.
✔ So for row 1, pick the second box in Column B.

Row 2:
- Column A: red star-like shape, left half only. It has two points sticking out to the left.
- We need the right half to make a full symmetric star.
- Look at Column B:
- First: red triangle pointing right — too simple.
- Second: red rectangle — no.
- Third: red shape with two points sticking out to the right — YES! Mirrors the left half.
- Fourth: red right triangle — no.
✔ Row 2: pick the third box.

Row 3:
- Column A: purple heart-shaped blob, left half.
- Full shape should be a symmetrical rounded shape like a teardrop or leaf.
- Column B:
- First: D-shape — not matching.
- Second: three-leaf clover part — no.
- Third: bumpy edge — doesn’t match smooth curve.
- Fourth: smooth curved shape mirroring the left half — YES!
✔ Row 3: pick the fourth box.

Row 4:
- Column A: green spade shape (like from playing cards), left half.
- Need the right half to complete the spade.
- Column B:
- First: clover-like — no.
- Second: semi-circle — no.
- Third: teardrop — close but not spade.
- Fourth: green spade right half — YES! Matches perfectly.
✔ Row 4: pick the fourth box.

So for Part 1, answers are:
1 → 2nd box
2 → 3rd box
3 → 4th box
4 → 4th box

But since we’re just selecting one per row, and the question says “click on the drawing”, we’ll note the correct choices as above.

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Part 2: Check boxes that show tessellations

Tessellation means shapes fit together perfectly without gaps or overlaps, covering the whole plane.

Look at each box:

Top Left: Blue background with green diamonds arranged in grid. They touch edges, no gaps? Actually, there are blue spaces between them — so NOT a true tessellation. Wait — actually, if you look closely, the green diamonds are placed such that their corners meet, but there are blue hexagons or something in between? Hmm — maybe it's intended to be a pattern where both colors tile together? But typically, tessellation refers to one shape repeating. Let’s check others first.

Actually, let’s think simply: does the pattern repeat without gaps?

Top Left: Green diamonds are spaced apart — there’s blue space between them → NOT tessellation.

Top Right: Orange squares rotated 45°, arranged in diagonal rows. Do they touch? Yes, corner to corner — but there are white gaps between them → NOT tessellation.

Bottom Left: Yellow hexagons surrounded by teal triangles and smaller shapes. Looks like a complex pattern — do they fill space completely? Yes! No gaps. Hexagons and triangles can tessellate together. This IS a tessellation.

Bottom Right: Colorful triangles filling the whole square — all touching, no gaps. Triangles can definitely tessellate. YES.

Wait — let me double-check Top Left: If the green diamonds are meant to be the tiles, they don’t cover the whole area — blue is showing through. So unless the blue is also part of the tile, it’s not a single-shape tessellation. But sometimes patterns use multiple shapes. However, standard definition allows multiple shapes as long as they cover the plane without gaps.

In Top Left: The green diamonds are separated by blue regions — those blue regions are not filled with any other tile — so it’s not a tessellation. It’s just a pattern with spacing.

Top Right: Same issue — white gaps.

Bottom Left: All areas covered — yellow hexagons, teal triangles, small cyan triangles — everything fits. Tessellation.

Bottom Right: All triangles, colorful, no gaps — tessellation.

So only Bottom Left and Bottom Right are tessellations.

But wait — let’s reconsider Top Left. Maybe the blue is the background and green diamonds are the tiles? Then they don’t cover the whole plane — so not tessellation.

Similarly, Top Right: orange diamonds with white gaps — not tessellation.

Final decision: Only bottom two boxes show tessellations.

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Now, compiling final answers:

For Part 1 (matching halves):
1. Second box in Column B
2. Third box in Column B
3. Fourth box in Column B
4. Fourth box in Column B

For Part 2 (tessellations): Check the bottom-left and bottom-right boxes.

Since the user didn’t specify how to output the selection (e.g., numbers or positions), and based on typical worksheet format, I’ll assume for Part 1 we list the position in Column B (1st, 2nd, 3rd, 4th) for each row, and for Part 2, indicate which boxes to check.

But looking back at the original instruction: “Click on the drawing in Column B” — so likely expecting us to identify which one per row.

And for tessellations: “Check the boxes” — so select the correct ones.

Given that, here’s the clean answer:

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Final Answer:
For completing the shapes:
1. Choose the second shape in Column B
2. Choose the third shape in Column B
3. Choose the fourth shape in Column B
4. Choose the fourth shape in Column B

For tessellations: Check the bottom-left box and the bottom-right box.