Testinar Grade 4 math

Line of Symmetry

Students will identify, draw, and explain lines of symmetry in two-dimensional figures.

CH08-03 Geometry

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Date
Score: ____ / 8

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

How many lines of symmetry does a square have?
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
Which letter has a line of symmetry?
1. \(F\)
2. \(L\)
3. \(A\)
4. \(G\)
How many lines of symmetry does a circle have?
1. \(0\)
2. \(1\)
3. Infinitely many
4. \(4\)
Which figure does not have a line of symmetry?
1. Equilateral triangle
2. Rectangle
3. Scalene triangle
4. Isosceles triangle
The letter \(H\) has how many lines of symmetry?
1. \(0\)
2. \(1\)
3. \(2\)
4. \(4\)
Which block letter diagram has exactly one line of symmetry?
1. \begin{tikzpicture}[scale=0.18, baseline=-0.6ex, line width=7pt, line cap=butt]\draw (0,0)--(0,4);\draw (0,4)--(2.4,4);\draw (0,2)--(1.8,2);\end{tikzpicture}
2. \begin{tikzpicture}[scale=0.18, baseline=-0.6ex, line width=7pt, line cap=butt]\draw (0,4)--(0,0)--(2.4,0);\end{tikzpicture}
3. \begin{tikzpicture}[scale=0.18, baseline=-0.6ex, line width=7pt, line cap=butt]\draw (-1.4,4)--(1.4,4);\draw (0,4)--(0,0);\end{tikzpicture}
4. \begin{tikzpicture}[scale=0.18, baseline=-0.6ex, line width=7pt, line cap=butt]\draw (0,4)--(2.4,4)--(0,0)--(2.4,0);\end{tikzpicture}
A regular hexagon (6-sided polygon) has how many lines of symmetry?
1. \(3\)
2. \(4\)
3. \(6\)
4. \(8\)
Which of these letters does not have a line of symmetry?
1. \(M\)
2. \(O\)
3. \(T\)
4. \(Z\)

Teacher and parent reference

Answer key and explanations

D. \(4\)
A square is perfectly balanced! Imagine folding it in half four different ways: vertically through the center, horizontally through the center, and diagonally both directions—each fold creates matching halves. The answer is \(\mathbf{4}\) lines of symmetry.
C. \(A\)
The letter \(A\) looks the same on both sides of a vertical line running down its middle. Fold it along that line and both sides match perfectly! The answer is letter \(\mathbf{A}\).
C. Infinitely many
A circle is super special! No matter which direction you draw a line through its center, both sides match perfectly. You could draw infinitely many such lines, so a circle has \(\mathbf{\text{infinitely many}}\) lines of symmetry.
C. Scalene triangle
A scalene triangle has three different side lengths and three different angles. Since nothing matches on either side, no fold line can make the two halves fit together perfectly. The answer is \(\mathbf{\text{scalene triangle}}\).
C. \(2\)
The letter \(H\) is balanced in two directions! A vertical line down the middle splits it into matching left and right halves, and a horizontal line across the middle splits it into matching top and bottom halves. So \(H\) has \(\mathbf{2}\) lines of symmetry.
C. \begin{tikzpicture}[scale=0.18, baseline=-0.6ex, line width=7pt, line cap=butt]\draw (-1.4,4)--(1.4,4);\draw (0,4)--(0,0);\end{tikzpicture}
The block letter T has one vertical line of symmetry down the center. The left and right halves match, but the top and bottom halves do not. The answer is choice \(\mathbf{C}\).
C. \(6\)
A regular hexagon (6 equal sides) is perfectly balanced in six ways. Lines can pass through opposite corners, or through the middle of opposite sides—each creates matching halves. The answer is \(\mathbf{6}\) lines of symmetry.
D. \(Z\)
The letter \(Z\) slants in one direction only. If you fold it any way—up and down, left and right, or diagonally—the halves don't match. The answer is letter \(\mathbf{Z}\).