Lines of Symmetry Worksheets | Worsheets library - Free Printable

Let’s go through each shape one by one and draw the other half to make it symmetrical. Remember, symmetry means if you fold the shape along the dashed line, both sides should match perfectly.

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Top row:

1. Rectangle (left)
The left half is drawn. To complete it, mirror it on the right side — so you’ll have a full rectangle with the dashed line in the middle.

2. Heart-like curve (middle)
This looks like the left half of a heart or teardrop. Mirror it on the right — the curved part will bulge out to the right, making a smooth symmetrical shape.

3. Right triangle (right)
It’s a right triangle pointing left. Mirror it to the right — now you’ll have an isosceles triangle with the point at the top and base at the bottom.

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Middle row:

4. Semicircle (left)
Left half of a circle. Mirror it to the right — you get a full circle.

5. Pentagon half (middle)
Looks like half of a house-shaped pentagon. Mirror it — you’ll get a full pentagon with a flat top and pointed bottom? Wait — actually, looking again: it’s more like half of a hexagon or irregular polygon. But since it has 3 edges on the left, mirroring gives 3 on the right → total 6 sides? Actually, let’s count:
- Left side: vertical edge, then diagonal down-right, then horizontal right.
Mirroring that: from the dashed line, go vertical up, then diagonal down-left, then horizontal left → forms a symmetrical arrowhead or chevron shape? Actually, no — better to think: just copy every point across the line. So the final shape will be symmetric with two “wings” going outward.

Actually, simpler: imagine folding paper along the dashed line — whatever sticks out on the left must stick out equally on the right. So for this shape, after mirroring, it becomes a symmetrical diamond-like shape with a flat top and bottom? Let me sketch mentally:

Original left half: starts at top of dashed line, goes left-down-diagonal, then straight down, then right-up-diagonal to bottom of dashed line.
Mirror: from top of dashed line, go right-down-diagonal, then straight down, then left-up-diagonal to bottom.
So together: it makes a hexagon? Or actually, a symmetrical shape that looks like a stretched diamond with flat top and bottom? Hmm — maybe it’s easier to say: just reflect each segment.

Actually, let’s not overcomplicate — for school level, just mirror the lines. So the completed shape will look like a symmetrical “bowtie” but without crossing — wait, no. Looking at the original: it’s like half of a stop sign cut vertically? No.

Better approach: trace the outline. From top of dashed line, move left and down at an angle, then straight down, then right and up to bottom of dashed line. When mirrored, from top of dashed line, move right and down at same angle, then straight down, then left and up to bottom. So the full shape has:
- Top: two diagonals meeting at center top? No — they start at top of dashed line and go outward.
Actually, the full shape will have a flat top? No — the original doesn’t have a top edge; it starts at the dashed line.

I think I’m confusing myself. Let’s simplify:

For any shape, to make it symmetrical across the dashed line, take every point on the left and plot its mirror image on the right at the same distance from the line.

So for this middle-middle shape:
- Point A: top end of dashed line → stays put.
- Point B: where the first diagonal ends → mirror it to the right.
- Point C: bottom of the vertical segment → mirror it.
- Point D: bottom end of dashed line → stays put.

Connecting these mirrored points will give the right half.

Final shape: it will look like a symmetrical arrow pointing downward? Or upward? Actually, since the left half has a “notch” going left, the right half will have a notch going right → so overall, it looks like a hourglass turned sideways? No.

Perhaps it’s best to describe the result: after mirroring, the shape becomes a symmetrical hexagon with vertices at: top-center, left-top, left-bottom, bottom-center, right-bottom, right-top, back to top-center? Not quite.

Let me try coordinates mentally:

Assume dashed line is x=0.

Left half points:
- (0, 2) [top]
- (-1, 1) [after first diagonal]
- (-1, 0) [after vertical down]
- (0, -1) [bottom]

Mirror those:
- (0,2) → (0,2)
- (-1,1) → (1,1)
- (-1,0) → (1,0)
- (0,-1) → (0,-1)

Now connect: from (0,2) to (1,1) to (1,0) to (0,-1), and also the left side was (0,2) to (-1,1) to (-1,0) to (0,-1).

So full shape: polygon with vertices: (0,2), (-1,1), (-1,0), (0,-1), (1,0), (1,1), back to (0,2)? That would be a hexagon.

Yes! So it’s a symmetrical hexagon that looks like a stretched diamond with flat sides on left and right? Actually, with points at left and right at y=1 and y=0.

For a student, we can say: “Draw the mirror image — so the shape will be wider on both sides and look balanced.”

6. Triangle pointing left (right)
Similar to the top-right one but flipped. Mirror it to the right — you get a full isosceles triangle pointing left? No — if the left half is a triangle pointing left, mirroring it makes a diamond? Wait:

Original: from top of dashed line, goes left-down to a point, then right-down to bottom of dashed line. So it’s a triangle with base on the dashed line? No — the dashed line is the right edge.

Points:
- Top: (0,2)
- Left point: (-1,1)
- Bottom: (0,0)

Mirror:
- (0,2) → (0,2)
- (-1,1) → (1,1)
- (0,0) → (0,0)

So full shape: triangle with vertices at (0,2), (-1,1), (0,0), (1,1) — that’s a diamond! Or a kite shape.

Actually, connecting (0,2) to (-1,1) to (0,0) to (1,1) back to (0,2) — yes, a diamond (rhombus) standing on a point.

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Bottom row:

7. Long rectangle (only one)
Left half is drawn — it’s a long horizontal rectangle ending at the dashed line. Mirror it to the right — you get a full long rectangle, twice as wide, with the dashed line in the middle.

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Now, to summarize what to draw for each:

- Top-left: Complete the rectangle → full rectangle.
- Top-middle: Mirror the curve → makes a heart or teardrop shape.
- Top-right: Mirror the triangle → makes a larger isosceles triangle (pointing up).
- Middle-left: Mirror the semicircle → full circle.
- Middle-middle: Mirror the polygon → makes a symmetrical hexagon (like a stretched diamond with flat sides).
- Middle-right: Mirror the triangle → makes a diamond (rhombus).
- Bottom: Mirror the long rectangle → full long rectangle.

Since the task is to “draw” the other half, and we’re text-based, I’ll describe what the completed shapes should look like.

But for the final answer, since it’s a drawing task, perhaps list the completed shapes.

Wait — the user might expect a description of how to draw them, or maybe just confirm understanding.

Given the constraints, I’ll provide the final answer as a list of what each completed shape is.

Final Answer:
After completing the symmetry for each shape:

1. Top-left: Full rectangle
2. Top-middle: Heart-shaped figure (symmetrical)
3. Top-right: Isosceles triangle pointing upward
4. Middle-left: Full circle
5. Middle-middle: Symmetrical hexagon (resembling a bowtie or elongated diamond)
6. Middle-right: Diamond (rhombus) shape
7. Bottom: Full long rectangle

Note: Since this is a drawing exercise, the actual solution requires sketching the mirror images on paper. The descriptions above indicate what the completed symmetrical shapes should resemble.