Symmetry Worksheets - Free Printable

Let’s go through each shape one by one and check if the dotted line is a line of symmetry.

A line of symmetry means that if you fold the shape along that line, both sides match perfectly — like a mirror image.

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1) Star with vertical dotted line

If we fold the star left to right along the vertical line, both halves match.
✔ Yes

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2) Rectangle with diagonal dotted line

Fold along the diagonal — the two triangles won’t match because the rectangle’s sides are different lengths (unless it’s a square). This is not a square.
✘ No

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3) Parallelogram with vertical dotted line

Fold left to right — the slanted sides don’t match up. The top and bottom will be off.
✘ No

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4) Diamond (rhombus) with horizontal dotted line

Fold top to bottom — yes, both halves match. A rhombus has symmetry across its diagonals and midlines? Wait — actually, this diamond looks like a rotated square. If it’s a perfect rhombus with equal sides and angles symmetric, then folding horizontally should work. Looking at the drawing, it seems symmetric top-bottom.
✔ Yes

*(Note: In a general rhombus, only the diagonals are lines of symmetry — but if it’s drawn as a “diamond” shaped like a square rotated 45°, then horizontal/vertical may also be symmetries. Based on typical worksheet drawings, this is likely intended to be symmetric.)*

Actually — let’s double-check: In a standard rhombus that’s not a square, only the diagonals are lines of symmetry. But in this case, the dotted line is horizontal through the middle — which would only be a line of symmetry if the rhombus is actually a square or has horizontal symmetry. Since the figure is drawn with pointy top and bottom, and flat left/right, the horizontal line cuts it into two identical halves. So yes — for this specific drawing, it works.

✔ Yes

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5) Kite shape with horizontal dotted line

This looks like a kite — wider at the top, pointy at bottom. Folding top to bottom — the top half is bigger than the bottom half. Doesn’t match.
✘ No

Wait — actually, looking again: It might be an upside-down kite? Or maybe it's symmetric vertically? The dotted line is horizontal. Let me visualize: If the shape is symmetric left-right, but the line is horizontal — then unless it’s symmetric top-bottom, it won’t work. This shape appears taller on top, shorter on bottom — so no.
✘ No

But wait — some kites have one line of symmetry — usually vertical. Here the line is horizontal — so probably not.

✔ Actually, re-examining: The shape in #5 looks like a diamond cut in half horizontally — but no, it’s a quadrilateral with two short top sides and two long bottom sides? Hmm.

Looking at common worksheets — this is often a "kite" oriented with the long axis vertical, and the horizontal line cutting across the middle — which would NOT be a line of symmetry. Only the vertical line would be.

So → ✘ No

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6) Heart with vertical dotted line

Hearts are usually symmetric left to right. Fold along the vertical line — yes, both sides match.
✔ Yes

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7) Pentagon with diagonal dotted line

This is a regular pentagon? Probably not — it looks irregular. Even if regular, a diagonal line from corner to corner is NOT a line of symmetry for a pentagon — only lines from a vertex to the midpoint of the opposite side are. Also, visually, folding along that diagonal won’t make the sides match.
✘ No

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8) Trapezoid with horizontal dotted line

This is an isosceles trapezoid? It looks like it has slanted sides that are equal. The dotted line is horizontal through the middle. If you fold top to bottom, the top base is shorter than the bottom base — so they won’t match. Unless it’s a rectangle, which it’s not.
✘ No

Wait — actually, for an isosceles trapezoid, the line of symmetry is VERTICAL — down the middle. Horizontal line? No — because top and bottom bases are different lengths. So folding horizontally won’t match.

✘ No

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Now let’s list our answers:

1) Yes
2) No
3) No
4) Yes
5) No
6) Yes
7) No
8) No

Wait — let me double-check #4 and #5.

For #4: Rhombus with horizontal line — if it’s drawn as a square rotated 45°, then yes, horizontal and vertical are lines of symmetry. Many worksheets treat it that way. So I’ll keep ✔ Yes.

For #5: The shape is a kite with the wide part on top. Horizontal line through middle — top half is larger. Not symmetric. ✘ No.

Final check:

1) Star – vertical line → symmetric → Yes
2) Rectangle – diagonal → not symmetric → No
3) Parallelogram – vertical → not symmetric → No
4) Rhombus – horizontal → assuming symmetric drawing → Yes
5) Kite – horizontal → not symmetric → No
6) Heart – vertical → symmetric → Yes
7) Pentagon – diagonal → not symmetric → No
8) Trapezoid – horizontal → not symmetric → No

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Final Answer:
1) Yes
2) No
3) No
4) Yes
5) No
6) Yes
7) No
8) No