4th Grade Lines of Symmetry Worksheet Solutions (PDF)
This grade 4 symmetry answers for 4th Grade covers lines of symmetry (Common Core 4.G.A.3), with a free PDF to print.
Grade 4 · Common Core State Standards: 4.G.A.3
Grade 4 symmetry answers: exercises 1 to 10
Exercise 1 – Is it symmetric?
Fold along the dashed line. The left wings land exactly on the right wings.
Yes, it is line-symmetric.
Exercise 2 – Square
A square folds in half up and down, across, and along each of the two diagonals.
4 lines
Exercise 3 – Rectangle
It folds in half across and up and down. The diagonals do not make matching halves.
2 lines
Exercise 4 – Equilateral triangle
Each line runs from a corner to the middle of the opposite side. There are 3 corners.
3 lines
Exercise 5 – Isosceles triangle
Only the line from the top corner down to the middle of the base works.
1 line
Exercise 6 – Slanted parallelogram
Try folding it up and down, across, or along a diagonal. In every case the halves do not match.
0 lines
Exercise 7 – Vertical lines in letters
A, H, M, and T are cut into matching left and right halves by a vertical line. B has only a horizontal line, and F and S have none.
A, H, M, T
Exercise 8 – Horizontal lines in letters
B, E, and H are cut into matching top and bottom halves. F, L, and S have no line.
B, E, H
Exercise 9 – Letters with no lines
A has a vertical line, H has two lines, and T has a vertical line. F, L, and S have none.
F, L, S
Exercise 10 – Regular pentagon
One line from each of the 5 corners to the middle of the opposite side.
5 lines
Exercises 11 and up
Exercise 11 – Regular hexagon
3 lines join opposite corners and 3 lines join the middles of opposite sides: \(3 + 3 = 6\).
6 lines
Exercise 12 – Circle
Every line through the center folds the circle into two matching halves. You can draw as many such lines as you like.
Too many to count (infinitely many)
Exercise 13 – Complete the shape
Each corner on the left has a matching corner the same distance from the dashed line on the right. Join them in the same order.
The right half mirrors the left half
Exercise 14 – Sort the shapes
- A rhombus folds along each diagonal: 2.
- A kite folds along one diagonal: 1.
- A regular octagon has 8 sides: 8.
- No fold matches the halves: 0.
2, 1, 8, 0
Exercise 15 – Stop sign
A regular polygon has as many lines as sides. An octagon has 8 sides.
8 lines
Exercise 16 – Butterfly spots
The right wings have 4 spots too: \(4 + 4 = 8\).
Add the spot on the body: \(8 + 1 = 9\).
9 spots
Exercise 17 – Road signs
Yield sign: 3. Stop sign: 8. School-crossing sign: 1.
\(3 + 8 + 1 = 12\).
12 lines
Exercise 18 – Words with symmetry
TOT: T, O, and T each have a vertical line, and the letters read the same from the right, so it matches.
HAT: reflected it would read TAH, which is different.
TOT yes; HAT no
Exercise 19 – Flag stripes
Flag A: the top stripe matches the bottom stripe, so a horizontal line through the middle works. A vertical line also works because each stripe is one color. That is 2 lines.
Flag B: top and bottom are different colors, so only the vertical line works. That is 1 line.
Flag A has 2 lines; Flag B has 1 line (only A has a horizontal line)
Exercise 20 – Folding a square
A square has 4 lines of symmetry: 2 diagonals and 2 lines through the middles of opposite sides.
Diagonal folds make 2 triangles each: 2 ways. Middle folds make 2 rectangles each: 2 ways.
Check: \(2 + 2 = 4\).
4 ways; 2 make triangles and 2 make rectangles
Key facts behind this grade 4 symmetry answers
- A line of symmetry splits a figure into two matching halves.
- A square has 4 lines of symmetry, a rectangle has 2, and an equilateral triangle has 3.
- A regular polygon with n sides has n lines of symmetry.
- Some figures, like a slanted parallelogram, have no lines of symmetry.
- Check by folding: the edges and corners must line up exactly.
How to use this grade 4 symmetry answers
Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.
Download the grade 4 symmetry answers as a PDF with the button below and keep it with your notes.
Download the grade 4 symmetry answers as a PDF with the button below and keep it with your notes.
All Grade 4 chapters: Grade 4 math.
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