Grade 4 Geometry worksheet on reflections (flips) from K5 Learning, with six shape pairs and dashed lines for identifying reflections.
A Grade 4 Geometry worksheet titled "Reflections (flips)" from K5 Learning, featuring six pairs of shapes with dashed lines indicating potential lines of reflection, asking students to check boxes that show reflections.
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Step-by-step solution for: Reflections (flips) Worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Reflections (flips) Worksheets | Worsheets library
To solve this problem, we need to check each pair of shapes to see if they are reflections (also called flips) of each other across the dashed line.
A reflection means:
- The shape on one side is a mirror image of the shape on the other side.
- If you folded the paper along the dashed line, the two shapes would match up perfectly.
- The size and shape stay the same — only the direction flips.
Let’s go through each box one by one:
---
Top-left: Yellow lightning bolts
- Left bolt points down-right.
- Right bolt points down-left.
- They are mirrored across the vertical dashed line → ✔ This IS a reflection.
---
Top-right: Blue parallelograms
- Both slant the same way (top-right to bottom-left).
- A true reflection would make them slant in opposite directions.
→ ✘ NOT a reflection. (This is a translation — just slid over.)
---
Middle-left: Red hearts
- Left heart faces right; right heart faces left.
- Mirrored across vertical line → ✔ This IS a reflection.
---
Middle-right: Yellow moons
- Left moon opens to the right; right moon opens to the left.
- Perfect mirror images → ✔ This IS a reflection.
---
Bottom-left: Purple arrows
- Top arrow points down; bottom arrow points up.
- Dashed line is horizontal → flipping vertically should turn “down” into “up”.
→ ✔ This IS a reflection.
---
Bottom-middle: Orange trapezoids
- Top trapezoid has short base on top.
- Bottom trapezoid has short base on bottom.
- Flipped across horizontal line → matches! → ✔ This IS a reflection.
---
Bottom-right: Green diamonds
- Both diamonds are identical and oriented the same way.
- No flip happened — they’re just copied below.
→ ✘ NOT a reflection. (Should be flipped upside-down if reflected over horizontal line.)
Wait — let me double-check that last one.
Actually, looking again:
The green diamonds are both pointing the same way — top vertex up, bottom vertex down.
If you reflect over a *horizontal* line, the top diamond should become upside-down (pointing down), but it doesn’t — it’s still pointing up. So yes, not a reflection.
BUT — wait! Let me look at the very last one:
Last box: Blue squares with diagonal line
There’s a square cut diagonally, and another square next to it, also cut diagonally — but the dashed line is diagonal too.
Left shape: triangle in bottom-left corner.
Right shape: triangle in top-right corner? Wait — actually, let's visualize folding along the diagonal dashed line.
If you fold along the diagonal from top-left to bottom-right, then the bottom-left triangle should map to the top-right triangle.
In the image:
- Left square: shaded triangle is in the bottom-left.
- Right square: shaded triangle is in the top-right.
That IS a reflection over the diagonal line! Because reflecting bottom-left over the main diagonal gives top-right.
So → ✔ This IS a reflection.
Wait — I think I made a mistake earlier with the green diamonds.
Let me recheck all carefully:
---
Rechecking each:
1. Yellow lightning bolts – vertical line, left and right are mirrors → ✔
2. Blue parallelograms – same orientation, not mirrored → ✘
3. Red hearts – facing each other, mirrored → ✔
4. Yellow moons – crescents facing each other → ✔
5. Purple arrows – one down, one up, horizontal line → flipping down becomes up → ✔
6. Orange trapezoids – one upright, one inverted, horizontal line → ✔
7. Green diamonds – both same orientation, horizontal line → should be flipped vertically, but aren't → ✘
8. Blue squares with diagonal – dashed line is diagonal. Shaded part in left square is bottom-left triangle. In right square, shaded part is top-right triangle. Reflecting bottom-left over the diagonal (from top-left to bottom-right) does give top-right → ✔
So total reflections: boxes 1, 3, 4, 5, 6, 8 → that’s 6 boxes.
But wait — let me count the positions:
The worksheet has 8 boxes arranged in 4 rows × 2 columns.
Label them:
Row 1: [A] [B]
Row 2: [C] [D]
Row 3: [E] [F]
Row 4: [G] [H]
We said:
A: ✔
B: ✘
C: ✔
D: ✔
E: ✔
F: ✔
G: ✘
H: ✔
That’s 6 correct.
But let me verify H again — the blue squares.
Imagine the diagonal line going from top-left to bottom-right of the whole box.
Left square: shaded triangle is below the diagonal (in its own square) — so in the lower-left half of that square.
When reflected over the big diagonal line, that point should go to the upper-right half of the right square — which is exactly where the shaded triangle is.
Yes — so H is a reflection.
Now G: green diamonds.
Horizontal dashed line between them.
Top diamond: pointy end up.
Bottom diamond: pointy end up.
After reflection over horizontal line, top should become pointy end down — but it’s not. So not a reflection.
Correct.
So final list of checked boxes: A, C, D, E, F, H.
That’s six boxes.
But let me make sure about F — orange trapezoids.
Top trapezoid: wider base at bottom.
Bottom trapezoid: wider base at top.
Flipping over horizontal line: bottom becomes top → so wider base was at bottom, after flip it’s at top → matches bottom trapezoid → ✔
Yes.
And E: purple arrows.
Top arrow points down → after flipping over horizontal line, should point up → bottom arrow points up → ✔
All good.
So the boxes that show reflections are:
- First row, first column (lightning)
- Second row, first column (hearts)
- Second row, second column (moons)
- Third row, first column (arrows)
- Third row, second column (trapezoids)
- Fourth row, second column (blue squares)
Not checked:
- First row, second column (parallelograms) — no
- Fourth row, first column (diamonds) — no
Final Answer: Check the boxes for: lightning bolts, hearts, moons, arrows, trapezoids, and blue squares with diagonal.
Since the question says "Check the boxes that show reflections", and we’ve identified 6 out of 8, here’s how to mark them:
In order (left to right, top to bottom):
Box 1: ☑
Box 2: ☐
Box 3: ☑
Box 4: ☑
Box 5: ☑
Box 6: ☑
Box 7: ☐
Box 8: ☑
──────────────────────────────────────
Final Answer:
Check the following boxes:
- Top-left (yellow lightning bolts)
- Middle-left (red hearts)
- Middle-right (yellow moons)
- Bottom-left-top (purple arrows)
- Bottom-left-bottom (orange trapezoids)
- Bottom-right (blue squares with diagonal)
Do NOT check:
- Top-right (blue parallelograms)
- Bottom-left-most (green diamonds)
A reflection means:
- The shape on one side is a mirror image of the shape on the other side.
- If you folded the paper along the dashed line, the two shapes would match up perfectly.
- The size and shape stay the same — only the direction flips.
Let’s go through each box one by one:
---
Top-left: Yellow lightning bolts
- Left bolt points down-right.
- Right bolt points down-left.
- They are mirrored across the vertical dashed line → ✔ This IS a reflection.
---
Top-right: Blue parallelograms
- Both slant the same way (top-right to bottom-left).
- A true reflection would make them slant in opposite directions.
→ ✘ NOT a reflection. (This is a translation — just slid over.)
---
Middle-left: Red hearts
- Left heart faces right; right heart faces left.
- Mirrored across vertical line → ✔ This IS a reflection.
---
Middle-right: Yellow moons
- Left moon opens to the right; right moon opens to the left.
- Perfect mirror images → ✔ This IS a reflection.
---
Bottom-left: Purple arrows
- Top arrow points down; bottom arrow points up.
- Dashed line is horizontal → flipping vertically should turn “down” into “up”.
→ ✔ This IS a reflection.
---
Bottom-middle: Orange trapezoids
- Top trapezoid has short base on top.
- Bottom trapezoid has short base on bottom.
- Flipped across horizontal line → matches! → ✔ This IS a reflection.
---
Bottom-right: Green diamonds
- Both diamonds are identical and oriented the same way.
- No flip happened — they’re just copied below.
→ ✘ NOT a reflection. (Should be flipped upside-down if reflected over horizontal line.)
Wait — let me double-check that last one.
Actually, looking again:
The green diamonds are both pointing the same way — top vertex up, bottom vertex down.
If you reflect over a *horizontal* line, the top diamond should become upside-down (pointing down), but it doesn’t — it’s still pointing up. So yes, not a reflection.
BUT — wait! Let me look at the very last one:
Last box: Blue squares with diagonal line
There’s a square cut diagonally, and another square next to it, also cut diagonally — but the dashed line is diagonal too.
Left shape: triangle in bottom-left corner.
Right shape: triangle in top-right corner? Wait — actually, let's visualize folding along the diagonal dashed line.
If you fold along the diagonal from top-left to bottom-right, then the bottom-left triangle should map to the top-right triangle.
In the image:
- Left square: shaded triangle is in the bottom-left.
- Right square: shaded triangle is in the top-right.
That IS a reflection over the diagonal line! Because reflecting bottom-left over the main diagonal gives top-right.
So → ✔ This IS a reflection.
Wait — I think I made a mistake earlier with the green diamonds.
Let me recheck all carefully:
---
Rechecking each:
1. Yellow lightning bolts – vertical line, left and right are mirrors → ✔
2. Blue parallelograms – same orientation, not mirrored → ✘
3. Red hearts – facing each other, mirrored → ✔
4. Yellow moons – crescents facing each other → ✔
5. Purple arrows – one down, one up, horizontal line → flipping down becomes up → ✔
6. Orange trapezoids – one upright, one inverted, horizontal line → ✔
7. Green diamonds – both same orientation, horizontal line → should be flipped vertically, but aren't → ✘
8. Blue squares with diagonal – dashed line is diagonal. Shaded part in left square is bottom-left triangle. In right square, shaded part is top-right triangle. Reflecting bottom-left over the diagonal (from top-left to bottom-right) does give top-right → ✔
So total reflections: boxes 1, 3, 4, 5, 6, 8 → that’s 6 boxes.
But wait — let me count the positions:
The worksheet has 8 boxes arranged in 4 rows × 2 columns.
Label them:
Row 1: [A] [B]
Row 2: [C] [D]
Row 3: [E] [F]
Row 4: [G] [H]
We said:
A: ✔
B: ✘
C: ✔
D: ✔
E: ✔
F: ✔
G: ✘
H: ✔
That’s 6 correct.
But let me verify H again — the blue squares.
Imagine the diagonal line going from top-left to bottom-right of the whole box.
Left square: shaded triangle is below the diagonal (in its own square) — so in the lower-left half of that square.
When reflected over the big diagonal line, that point should go to the upper-right half of the right square — which is exactly where the shaded triangle is.
Yes — so H is a reflection.
Now G: green diamonds.
Horizontal dashed line between them.
Top diamond: pointy end up.
Bottom diamond: pointy end up.
After reflection over horizontal line, top should become pointy end down — but it’s not. So not a reflection.
Correct.
So final list of checked boxes: A, C, D, E, F, H.
That’s six boxes.
But let me make sure about F — orange trapezoids.
Top trapezoid: wider base at bottom.
Bottom trapezoid: wider base at top.
Flipping over horizontal line: bottom becomes top → so wider base was at bottom, after flip it’s at top → matches bottom trapezoid → ✔
Yes.
And E: purple arrows.
Top arrow points down → after flipping over horizontal line, should point up → bottom arrow points up → ✔
All good.
So the boxes that show reflections are:
- First row, first column (lightning)
- Second row, first column (hearts)
- Second row, second column (moons)
- Third row, first column (arrows)
- Third row, second column (trapezoids)
- Fourth row, second column (blue squares)
Not checked:
- First row, second column (parallelograms) — no
- Fourth row, first column (diamonds) — no
Final Answer: Check the boxes for: lightning bolts, hearts, moons, arrows, trapezoids, and blue squares with diagonal.
Since the question says "Check the boxes that show reflections", and we’ve identified 6 out of 8, here’s how to mark them:
In order (left to right, top to bottom):
Box 1: ☑
Box 2: ☐
Box 3: ☑
Box 4: ☑
Box 5: ☑
Box 6: ☑
Box 7: ☐
Box 8: ☑
──────────────────────────────────────
Final Answer:
Check the following boxes:
- Top-left (yellow lightning bolts)
- Middle-left (red hearts)
- Middle-right (yellow moons)
- Bottom-left-top (purple arrows)
- Bottom-left-bottom (orange trapezoids)
- Bottom-right (blue squares with diagonal)
Do NOT check:
- Top-right (blue parallelograms)
- Bottom-left-most (green diamonds)
Parent Tip: Review the logic above to help your child master the concept of reflection worksheet geometry.
