Symmetry Worksheet (for Kids) | Mocomi - Free Printable

Let’s go step by step to solve each part of the worksheet.

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Part 1: Tell whether the dotted lines represent a line of symmetry — write ‘YES’ or ‘NO’

A line of symmetry means if you fold the shape along that line, both halves match perfectly.

1. Candy with diagonal dotted line
If you fold along that diagonal, the two ends (the twisted wrappers) won’t match — one is on top left, the other on bottom right. So, NOT symmetric. → NO

2. Hexagon with horizontal dotted line
A regular hexagon has many lines of symmetry. The horizontal line through the middle splits it into two identical halves. → YES

3. Arrow pointing down with horizontal dotted line
The arrowhead is at the bottom, and the rectangle part is on top. Folding horizontally would put the pointy part on top — doesn’t match. → NO

4. Star with diagonal dotted line
This star looks like a regular 5-pointed star. A diagonal line from one point to the opposite side does NOT split it evenly — the points don’t mirror each other across that line. For a 5-pointed star, lines of symmetry go from a point to the middle of the opposite side — not corner to corner diagonally like this. → NO

Wait — let me double-check the star. Actually, in a regular 5-pointed star, there are 5 lines of symmetry — each goes from a point straight through the center to the middle of the opposite “gap”. The dotted line shown here goes from one point to another point? No — looking again, it seems to go from one point to the middle of the opposite side? Hmm.

Actually, in the image, the dotted line in the star goes from the top-left point to the bottom-right “valley” — which IS a correct line of symmetry for a regular 5-pointed star. Let me visualize: yes, folding along that line should make the left and right sides match. So actually… → YES

I made a mistake earlier. Let me correct:

✔ Star: The dotted line goes from a point to the midpoint of the opposite side — that IS a line of symmetry. → YES

So correcting Part 1:

- Candy: NO
- Hexagon: YES
- Arrow: NO
- Star: YES

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Part 2: Draw a line of symmetry on each shape

We need to draw ONE line that divides the shape into two matching halves.

1. Circle
Any line through the center works. Easiest: vertical line down the middle.

2. Five-pointed star
Draw a line from the top point straight down through the center to the bottom gap.

3. Tree-like shape (cloud on stem)
Vertical line down the middle — left and right sides are mirror images.

4. Rectangle with small rectangles on left and right sides
It’s symmetric vertically — so draw a vertical line down the center.

*(Note: Since we can’t draw here, I’ll describe what to draw — but in real homework, student draws the line.)*

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Part 3: Draw the other half of each symmetric shape

Each shape shows half + a dotted line (line of symmetry). We reflect the given half over the dotted line.

1. Left half of a circle (dotted line vertical on right)
Mirror it to the right → full circle.

2. Left half of a vase/bottle shape (dotted line vertical on right)
Mirror the curve to the right → complete bottle.

3. Left half of a zig-zag shape (dotted line vertical on right)
Mirror the steps to the right → makes a symmetrical zig-zag (like a lightning bolt mirrored).

4. Top half of a trapezoid (dotted line horizontal at bottom)
Mirror the top half downward → makes a full trapezoid (or diamond-like shape? Wait — it’s a triangle cut in half horizontally? Actually, it’s a trapezoid with the longer base on top. Mirroring down gives a hexagon? No — wait, it’s an upside-down triangle attached to a right-side-up triangle? Actually, no — the given half is the top part of a trapezoid. When you mirror it below, you get a full trapezoid that’s symmetric top-bottom? But trapezoids usually aren’t symmetric unless isosceles.

Wait — looking again: the last shape is a trapezoid with the longer side on top, and the dotted line is the bottom edge. That means the given part is the TOP half, and we’re to draw the BOTTOM half as a mirror image. So flipping it over the bottom edge would create a shape that looks like a hexagon? Or maybe a bowtie?

Actually, no — if you have a trapezoid and you reflect it over its base, you get a larger shape — but the instruction says “draw the other half”, meaning the reflection should complete a symmetric whole.

But in this case, the dotted line is the BASE of the trapezoid — so reflecting over that line would mean drawing the same trapezoid flipped upside-down below it. So the final shape would be two trapezoids joined at their bases — making a hexagon? Not necessarily regular, but symmetric.

Alternatively — perhaps the dotted line is meant to be the LINE OF SYMMETRY, not the edge. Looking back at the image description: “Draw the other half of each symmetric shape.” and the dotted line is where the symmetry axis is.

In the last figure, the dotted line is horizontal at the bottom of the trapezoid — that suggests the trapezoid is the TOP HALF, and the line of symmetry is its base — so we reflect it downward.

Yes — so we draw the mirror image below the dotted line.

Similarly for others:

- First: semicircle on left, dotted line vertical on right → draw mirror on right → full circle.
- Second: left half of curved vase → draw right half → full vase.
- Third: left half of stepped shape → draw right half → symmetrical stepped shape.
- Fourth: top half of trapezoid, dotted line at bottom → draw bottom half as mirror → full symmetric shape (which will look like a hexagon or hourglass?).

Actually, for the fourth one: if you take a trapezoid and reflect it over its base, you get a shape that’s like a house with a roof and then an inverted house below — but since it’s only half, and we’re completing it, it becomes a symmetric polygon.

But for simplicity, just mirror the given half over the dotted line.

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Now, compiling final answers as required.

Since the user didn’t ask for explanation or teaching or practice, and all options are false, I skip those sections.

Final Answer must include only the answers to the tasks.

For Part 1: four boxes — answers are: NO, YES, NO, YES

For Part 2: since we can’t draw, but the question expects the student to draw, and we’re to provide final answer — perhaps list what line to draw? But the instruction says “provide only the final correct answer”.

Looking back at the problem: the first part asks to write YES/NO in boxes. The second and third parts ask to draw — so for those, since we can’t draw in text, maybe we describe? But the rule says “final correct answer” — perhaps for drawing tasks, we state what should be drawn.

But to follow strictly: the only written answers needed are for Part 1. Parts 2 and 3 are drawing, so maybe they don’t have textual answers? But the user might expect us to indicate the solutions.

Re-reading the user request: “Solve the problem accurately.” and “provide only the final correct answer” after reasoning.

Perhaps for drawing tasks, we can say “draw vertical line”, etc., but since the format says “Final Answer” should be concise, and the first part has clear text answers, while others are visual, I think for this context, we provide the YES/NO for Part 1, and for Parts 2 and 3, since they require drawing, we note that the student should draw the line of symmetry or the reflected half as described.

But to keep it clean, and since the worksheet has specific boxes only for Part 1, I’ll provide the four answers for Part 1, and for the rest, imply that the drawings are done as per standard symmetry.

However, the instruction says “solve the problem”, so all parts must be addressed.

Alternative approach: in Final Answer, list:

Part 1: NO, YES, NO, YES

Part 2:
- Circle: vertical line through center
- Star: line from top point to bottom center
- Tree: vertical line down middle
- Rectangle-with-sides: vertical line down middle

Part 3:
- Semicircle: draw right half to make full circle
- Vase half: draw right half to make full vase
- Zigzag half: draw right half to make symmetrical zigzag
- Trapezoid top: draw bottom half as mirror to make full symmetric shape

But that’s verbose. Since the user said “final correct answer” and to avoid extra text, perhaps only Part 1 has discrete answers.

Looking at the image again mentally: the first section has four boxes under the shapes — so those are to be filled with YES/NO. The other sections don’t have boxes — they are drawing tasks. So probably, the “answer” expected is mainly for Part 1, and the rest are activities.

But to be thorough, I’ll include all.

However, the response format says: “Final Answer: [Provide only the final correct answer]”

And in educational contexts, for such worksheets, the graded part is often the YES/NO, and drawings are checked visually.

Given that, and to comply with brevity, I’ll provide the four answers for Part 1, and for the drawing parts, since they can't be represented textually well, I'll omit them in Final Answer — but that might not be accurate.

Another idea: perhaps the "final answer" refers to the entire solution, but summarized.

I think the safest is to provide the YES/NO for Part 1, and for Parts 2 and 3, state that the lines and halves should be drawn as per symmetry principles, but since the format requires conciseness, and the user may only care about the boxed answers, I'll focus on Part 1.

But let's check the initial problem: "Tell whether the dotted lines... Write 'YES' or 'NO'." — that's the only part with explicit answer format. The others are "draw", so no text answer.

Therefore, Final Answer should be the four responses for Part 1.

So:

Final Answer:
NO, YES, NO, YES

But to be precise, let's confirm once more:

1. Candy: diagonal line — not symmetry → NO
2. Hexagon: horizontal line — is symmetry → YES
3. Arrow: horizontal line — arrowhead down, so top and bottom different → NO
4. Star: diagonal line from point to opposite side — in regular pentagram, this is a line of symmetry → YES

Yes.

For Parts 2 and 3, since they require drawing, and we can't output images, in a real scenario, the student would draw them. For this text-based response, we've reasoned through them, but the Final Answer per format is likely just the YES/NO sequence.

So I'll go with that.