This worksheet helps students practice symmetry by identifying lines, drawing them on shapes like clovers, and completing the missing halves.
Symmetry math worksheet for students featuring shapes and lines of symmetry exercises.
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Show Answer Key & Explanations
Step-by-step solution for: Symmetry Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Symmetry Worksheets
Let’s go through each part of the worksheet step by step.
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Part 1: Tell whether the dotted line on each shape represents a line of symmetry. Write yes or no.
A line of symmetry means if you fold the shape along that line, both halves match exactly — like a mirror image.
- a. The shape is like a bowtie with a horizontal dotted line. If you fold it horizontally, top and bottom match → yes
- b. This is a star-like shape with a diagonal dotted line. Folding along that diagonal does NOT make both sides match (the arms don’t align) → no
- c. Rectangle with a diagonal dotted line. A rectangle only has vertical and horizontal lines of symmetry — diagonal doesn’t work → no
- d. Arrow pointing up with a horizontal dotted line. Top half is arrowhead, bottom half is stem — not mirror images → no
✔ Answers for Part 1:
a. yes
b. no
c. no
d. no
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Part 2: Draw a line of symmetry on each shape.
We need to draw ONE line where the shape can be folded so both sides match.
- e. Letter “C” shape — it’s symmetric left-right? No. But if you draw a vertical line down the middle, left and right are mirror images → draw vertical line in center.
- f. Club shape (like from playing cards) — it’s symmetric vertically → draw vertical line down the middle.
- g. Peace sign — it’s symmetric vertically → draw vertical line down the middle.
- h. Blocky shape with bumps on right — actually, this shape is symmetric horizontally? Wait — look again: it looks like a rectangle with extra blocks on right side. Actually, if you draw a horizontal line across the middle, top and bottom match → draw horizontal line through center.
Wait — let me double-check h:
Shape h: It’s like a rectangle with two small rectangles sticking out on the right side — one at top, one at bottom. So if you draw a horizontal line across the middle, the top bump matches the bottom bump → YES, horizontal line works.
✔ Lines to draw:
e. Vertical line down the middle
f. Vertical line down the middle
g. Vertical line down the middle
h. Horizontal line across the middle
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Part 3: Draw the second half of each symmetrical shape.
Each shape shows half + a dotted line of symmetry. We reflect the given half over the dotted line to complete the shape.
- i. Heart-shaped half on left, vertical dotted line. Reflect it to the right → full heart shape.
- j. Half-heart on left, vertical dotted line. Same as i — reflect to right → full heart.
Wait — actually, j looks like a teardrop or leaf shape. Still, reflect over vertical line → mirror image on right.
- k. Shape looks like half a castle tower or stepped block. Dotted line is vertical on right edge. So we reflect the left half to the right → becomes a full symmetrical block with steps on both sides.
- l. Trapezoid with horizontal dotted line below it. That means the dotted line is the axis — so we reflect the trapezoid UPWARD over the line → makes a diamond or hourglass shape? Wait — trapezoid with base on top, point down? Actually, looking: it’s an upside-down trapezoid (wider on top), dotted line underneath. To make it symmetrical, we reflect it downward → but that would make a larger shape. Actually, since the dotted line is below, and the shape is above, reflecting over the line means drawing the same shape BELOW the line → so now you have two trapezoids back-to-back, making a hexagon? Or maybe a diamond? Let’s think: original is wide on top, narrow on bottom. Reflecting over the bottom line means the reflection will be wide on bottom, narrow on top — so together they form a diamond (rhombus) shape.
Actually, simpler: just copy the shape flipped over the dotted line.
✔ What to draw:
i. Mirror image of left half on the right → full heart
j. Mirror image of left half on the right → full teardrop/leaf
k. Mirror image of left half on the right → full symmetrical stepped block
l. Mirror image of the trapezoid BELOW the dotted line → forms a diamond (or hourglass) shape
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Now, compiling final answers clearly:
Final Answer:
Part 1:
a. yes
b. no
c. no
d. no
Part 2:
e. Draw a vertical line down the middle
f. Draw a vertical line down the middle
g. Draw a vertical line down the middle
h. Draw a horizontal line across the middle
Part 3:
i. Draw the mirror image of the left half on the right side to make a full heart
j. Draw the mirror image of the left half on the right side to make a full teardrop shape
k. Draw the mirror image of the left half on the right side to make a full symmetrical stepped block
l. Draw the mirror image of the trapezoid below the dotted line to form a diamond shape
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Part 1: Tell whether the dotted line on each shape represents a line of symmetry. Write yes or no.
A line of symmetry means if you fold the shape along that line, both halves match exactly — like a mirror image.
- a. The shape is like a bowtie with a horizontal dotted line. If you fold it horizontally, top and bottom match → yes
- b. This is a star-like shape with a diagonal dotted line. Folding along that diagonal does NOT make both sides match (the arms don’t align) → no
- c. Rectangle with a diagonal dotted line. A rectangle only has vertical and horizontal lines of symmetry — diagonal doesn’t work → no
- d. Arrow pointing up with a horizontal dotted line. Top half is arrowhead, bottom half is stem — not mirror images → no
✔ Answers for Part 1:
a. yes
b. no
c. no
d. no
---
Part 2: Draw a line of symmetry on each shape.
We need to draw ONE line where the shape can be folded so both sides match.
- e. Letter “C” shape — it’s symmetric left-right? No. But if you draw a vertical line down the middle, left and right are mirror images → draw vertical line in center.
- f. Club shape (like from playing cards) — it’s symmetric vertically → draw vertical line down the middle.
- g. Peace sign — it’s symmetric vertically → draw vertical line down the middle.
- h. Blocky shape with bumps on right — actually, this shape is symmetric horizontally? Wait — look again: it looks like a rectangle with extra blocks on right side. Actually, if you draw a horizontal line across the middle, top and bottom match → draw horizontal line through center.
Wait — let me double-check h:
Shape h: It’s like a rectangle with two small rectangles sticking out on the right side — one at top, one at bottom. So if you draw a horizontal line across the middle, the top bump matches the bottom bump → YES, horizontal line works.
✔ Lines to draw:
e. Vertical line down the middle
f. Vertical line down the middle
g. Vertical line down the middle
h. Horizontal line across the middle
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Part 3: Draw the second half of each symmetrical shape.
Each shape shows half + a dotted line of symmetry. We reflect the given half over the dotted line to complete the shape.
- i. Heart-shaped half on left, vertical dotted line. Reflect it to the right → full heart shape.
- j. Half-heart on left, vertical dotted line. Same as i — reflect to right → full heart.
Wait — actually, j looks like a teardrop or leaf shape. Still, reflect over vertical line → mirror image on right.
- k. Shape looks like half a castle tower or stepped block. Dotted line is vertical on right edge. So we reflect the left half to the right → becomes a full symmetrical block with steps on both sides.
- l. Trapezoid with horizontal dotted line below it. That means the dotted line is the axis — so we reflect the trapezoid UPWARD over the line → makes a diamond or hourglass shape? Wait — trapezoid with base on top, point down? Actually, looking: it’s an upside-down trapezoid (wider on top), dotted line underneath. To make it symmetrical, we reflect it downward → but that would make a larger shape. Actually, since the dotted line is below, and the shape is above, reflecting over the line means drawing the same shape BELOW the line → so now you have two trapezoids back-to-back, making a hexagon? Or maybe a diamond? Let’s think: original is wide on top, narrow on bottom. Reflecting over the bottom line means the reflection will be wide on bottom, narrow on top — so together they form a diamond (rhombus) shape.
Actually, simpler: just copy the shape flipped over the dotted line.
✔ What to draw:
i. Mirror image of left half on the right → full heart
j. Mirror image of left half on the right → full teardrop/leaf
k. Mirror image of left half on the right → full symmetrical stepped block
l. Mirror image of the trapezoid BELOW the dotted line → forms a diamond (or hourglass) shape
---
Now, compiling final answers clearly:
Final Answer:
Part 1:
a. yes
b. no
c. no
d. no
Part 2:
e. Draw a vertical line down the middle
f. Draw a vertical line down the middle
g. Draw a vertical line down the middle
h. Draw a horizontal line across the middle
Part 3:
i. Draw the mirror image of the left half on the right side to make a full heart
j. Draw the mirror image of the left half on the right side to make a full teardrop shape
k. Draw the mirror image of the left half on the right side to make a full symmetrical stepped block
l. Draw the mirror image of the trapezoid below the dotted line to form a diamond shape
Parent Tip: Review the logic above to help your child master the concept of line of symmetry worksheet.