Drawing Lines of Symmetry worksheet | Grade1to6 - Free Printable

To solve this symmetry task, we need to draw the missing half of each shape so that it becomes symmetrical across the vertical line shown in each grid.

Symmetry means if you fold the paper along the line (the mirror line), both sides should match exactly — like a reflection in a mirror.

Let’s go through each one step by step:

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a.
The left side is a right triangle with its base on the bottom and height going up to the top-left corner.
→ To make it symmetrical, reflect every point across the vertical line.
→ The reflected shape will be a mirror image: same size, flipped horizontally.
→ So the other half will form a larger triangle pointing to the right — making a full isosceles triangle centered on the line.

b.
Left side looks like a zigzag or “W” shape turned sideways.
→ Reflect each segment across the line.
→ The result will look like an “M” shape mirrored — forming a symmetric star-like polygon.

c.
Left side has two diagonal lines meeting at a point near the center, forming a "<" shape.
→ Mirror it → becomes ">" on the right → together they make an "X" shape.

d.
Left side is a complex shape with peaks and valleys.
→ Carefully copy each dot’s position relative to the line, but on the opposite side.
→ For example, if a point is 2 dots left of the line, put its mirror 2 dots right.
→ Connect them in the same order.

e.
Left side is a rectangle with a notch cut out on the top-right.
→ Mirror it → the notch will appear on the top-left of the right half.
→ Together, it makes a rectangle with notches on both top corners.

f.
Left side is a staircase going down-right.
→ Mirror it → becomes a staircase going down-left on the right.
→ Together, they form a diamond or hourglass shape.

g.
Left side has a circle attached to a square.
→ Mirror the whole thing → circle appears on the right, square connects in the middle.
→ Result: circle-square-circle, all aligned horizontally.

h.
Left side is a bowtie shape (two triangles sharing a vertex).
→ Mirror it → completes the bowtie into a full hourglass or butterfly shape.

i.
Left side is a large triangle pointing right.
→ Mirror it → adds another triangle pointing left → forms a diamond (rhombus) shape.

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Now, since we’re drawing these on dot grids, we can count squares from the mirror line to ensure accuracy.

For example, in a:
- Left triangle goes from x=0 to x=4 (if line is at x=5).
- Right triangle must go from x=6 to x=10, matching heights.

In g:
- Circle center is 3 units left of line → mirror center is 3 units right.
- Square extends from line to left → mirror extends same distance right.

We do this for all shapes — always measuring perpendicular distance to the mirror line and copying it to the other side.

After reflecting all points and connecting them properly, each completed shape will have perfect left-right symmetry.

Final Answer:
Each shape’s missing half is drawn as the exact mirror image across the vertical line, resulting in fully symmetrical figures:
a. Isosceles triangle
b. Symmetric zigzag/star
c. X-shape
d. Complex symmetric polygon
e. Rectangle with top notches
f. Diamond/hourglass
g. Circle-square-circle
h. Full bowtie/butterfly
i. Rhombus/diamond