Lesson 17.1: Line Symmetry in 2D Plane Shapes
Identify vertical, horizontal, and diagonal lines of symmetry, and test reflective symmetry with folding.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Symmetry
An origami artist folds a colorful square sheet of paper in half. She discovers that whether she folds it vertically, horizontally, or along either diagonal, both halves match up perfectly, demonstrating that a square possesses 4 lines of symmetry.
💡 Core Mathematical Concepts: Line Symmetry in 2D Shapes
Focus areas: Line of symmetry, mirror line, reflection, fold test, vertical, horizontal.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Line of Symmetry | An imaginary line dividing a figure into two identical mirror-image halves | Folding along the line makes both halves overlap exactly |
| Square Symmetry | Has exactly 4 lines of symmetry: 1 vertical, 1 horizontal, 2 diagonals | Square paper napkin |
| Rectangle Symmetry | Has exactly 2 lines of symmetry: 1 vertical, 1 horizontal (diagonals are NOT lines of symmetry) | Standard envelope or door |
| Equilateral Triangle Symmetry | Has 3 lines of symmetry passing from each vertex through the opposite midpoint | Equilateral road yield sign |
| Circle Symmetry | Has infinite lines of symmetry passing through its center point | Round dinner plate or coin |
🔍 Practical Classroom & Everyday Examples
Example 1: The Folding Test
If you fold a shape along a line and the two halves match edge-for-edge without overhang, that line is a line of symmetry.
Example 2: Mirror Reflection Test
Placing a small mirror along the line reflects an image identical to the hidden half.
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Thinking a rectangle has diagonal symmetry
Correction: Folding a rectangle along its diagonal does NOT match edges; the corners stick out!
Common Error: Assuming all triangles have 3 lines of symmetry
Correction: Only equilateral triangles have 3. Isosceles triangles have only 1, and scalene triangles have 0.
🎯 Quick Self-Check Challenge
How many lines of symmetry does a regular hexagon have?
Answer & Explanation:
A regular hexagon has 6 equal sides and 6 vertices, so it has exactly 6 lines of symmetry.
🎯 Key Learning Takeaways
Master Symmetry fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH17-WS05
A4 • 15 Qs
Symmetry — Worksheet 5
Line Symmetry, Mirror Images & Grid Reflections (Stained Glass Crafting)
G3-M-CH17-WS04
A4 • 15 Qs
Symmetry — Worksheet 4
Line Symmetry, Mirror Images & Grid Reflections (Signage & Heraldry Workshop)
G3-M-CH17-WS03
A4 • 15 Qs
Symmetry — Worksheet 3
Line Symmetry, Mirror Images & Grid Reflections (Geometric Design Lab)
G3-M-CH17-WS02
A4 • 15 Qs
Symmetry — Worksheet 2
Line Symmetry, Mirror Images & Grid Reflections (Nature Discovery Center)
G3-M-CH17-WS01
A4 • 15 Qs
Symmetry — Worksheet 1
Line Symmetry, Mirror Images & Grid Reflections (Art & Architecture Studio)
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A square tile with side 10 cm has a symmetrical pattern. If one quarter of the tile contains a shaded area of 14 cm², what is the total shaded area of the complete tile?
A
56 cm²
B
42 cm²
C
28 cm²
D
70 cm²
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56 cm²
Step-by-Step Explanation:
Because the pattern is symmetrical across four quarters: 14 cm² × 4 = 56 cm².
2
Short Answer
Hard
2 Marks
Which of the following digits has BOTH a horizontal line of symmetry and a vertical line of symmetry when written in standard block font?
A
8
B
0
C
3
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
The digit '8' (and '0') has both vertical and horizontal symmetry in standard symmetrical block font.
3
Short Answer
Hard
2 Marks
If you fold a paper shape twice (once horizontally and once vertically) and punch a single hole through all layers, how many holes will appear when unfolded?
A
4 holes
B
2 holes
C
3 holes
D
8 holes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 holes
Step-by-Step Explanation:
Folding twice doubles the layers twice (1 → 2 → 4 layers), producing 4 holes upon unfolding.
4
Short Answer
Hard
2 Marks
Why does an isosceles triangle have exactly 1 line of symmetry, whereas an equilateral triangle has 3?
A
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
B
Isosceles triangles have curved bases
C
Equilateral triangles are 3D solids
D
Isosceles triangles have no right angles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
Step-by-Step Explanation:
The single line of symmetry in an isosceles triangle splits the angle between the two equal sides.
5
Short Answer
Medium
1 Mark
Dev says: 'A circle has only 4 lines of symmetry: vertical, horizontal, and two diagonals.' Why is Dev wrong?
A
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
B
A circle has 0 lines of symmetry
C
A circle has only 2 lines of symmetry
D
A circle is not a geometric shape
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
Step-by-Step Explanation:
Any straight line passing through the center of a circle is a line of symmetry; there are infinitely many such lines.
6
Short Answer
Medium
1 Mark
Hannah folds a rectangular paper along its diagonal and says: 'The diagonal is a line of symmetry because the two halves are congruent triangles.' What is her mistake?
A
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
B
Rectangles have 0 lines of symmetry
C
Diagonals only exist in squares
D
The triangles have different areas
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
Step-by-Step Explanation:
For a line of symmetry, the two halves must match up identically upon folding along the line.
7
Fill in the Blanks
Medium
1 Mark
On a grid with a vertical mirror line at x = 5, a point is drawn at x = 2 (3 units left). What x-coordinate is its reflected image?
A
x = 8
B
x = 7
C
x = 9
D
x = 10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
x = 8
Step-by-Step Explanation:
Mirror line is at 5. Distance is 5 - 2 = 3. Reflected point is at 5 + 3 = 8.
8
Fill in the Blanks
Medium
1 Mark
A regular polygon has equal sides and 5 lines of symmetry. Which polygon is this?
A
Regular Pentagon
B
Regular Hexagon
C
Square
D
Equilateral Triangle
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Regular Pentagon
Step-by-Step Explanation:
A regular pentagon has 5 equal sides and exactly 5 lines of symmetry.
9
Short Answer
Medium
1 Mark
A road safety crew paints a triangular hazard sign that has 3 equal sides and 3 equal angles. How many lines of symmetry does the sign have?
A
3 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 lines of symmetry
Step-by-Step Explanation:
An equilateral triangle has 3 lines of symmetry.
10
Short Answer
Medium
1 Mark
An artist draws the left half of a symmetrical vase on grid paper. The widest point is 8 units to the left of the center line. How wide is the completed vase from left edge to right edge?
A
16 units
B
15 units
C
8 units
D
18 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
16 units
Step-by-Step Explanation:
Reflective symmetry doubles the width: 8 × 2 = 16 units wide.
11
Short Answer
Medium
1 Mark
At the Stained Glass Crafting, an artisan creates a Regular Hexagon Rosette Window. If it possesses 6 lines of symmetry, how many equal reflection sectors are created when all lines are drawn?
A
12 sectors
B
6 sectors
C
8 sectors
D
24 sectors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12 sectors
Step-by-Step Explanation:
Each line of symmetry divides the shape into halves; 6 lines divide it into 12 congruent sectors.
12
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a scalene triangle have (all sides different)?
A
0 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
3 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
0 lines of symmetry
Step-by-Step Explanation:
A scalene triangle has no equal sides or angles, so it has 0 lines of symmetry.
13
Multiple Choice
Easy
1 Mark
Which of the following capital letters has both a horizontal and a vertical line of symmetry?
A
H
B
A
C
C
D
F
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
H
Step-by-Step Explanation:
The letter 'H' can be folded in half horizontally and vertically.
14
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a non-square rectangle have?
A
2 lines of symmetry
B
4 lines of symmetry
C
1 line of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2 lines of symmetry
Step-by-Step Explanation:
A rectangle has 2 lines of symmetry (vertical and horizontal). Diagonals are not lines of symmetry.
15
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a standard square have?
A
4 lines of symmetry
B
2 lines of symmetry
C
8 lines of symmetry
D
1 line of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 lines of symmetry
Step-by-Step Explanation:
A square has 4 lines of symmetry (1 vertical, 1 horizontal, 2 diagonals).
16
Short Answer
Hard
2 Marks
A square tile with side 10 cm has a symmetrical pattern. If one quarter of the tile contains a shaded area of 14 cm², what is the total shaded area of the complete tile?
A
56 cm²
B
42 cm²
C
28 cm²
D
70 cm²
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56 cm²
Step-by-Step Explanation:
Because the pattern is symmetrical across four quarters: 14 cm² × 4 = 56 cm².
17
Short Answer
Hard
2 Marks
Which of the following digits has BOTH a horizontal line of symmetry and a vertical line of symmetry when written in standard block font?
A
8
B
0
C
3
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
The digit '8' (and '0') has both vertical and horizontal symmetry in standard symmetrical block font.
18
Short Answer
Hard
2 Marks
If you fold a paper shape twice (once horizontally and once vertically) and punch a single hole through all layers, how many holes will appear when unfolded?
A
4 holes
B
2 holes
C
3 holes
D
8 holes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 holes
Step-by-Step Explanation:
Folding twice doubles the layers twice (1 → 2 → 4 layers), producing 4 holes upon unfolding.
19
Short Answer
Hard
2 Marks
Why does an isosceles triangle have exactly 1 line of symmetry, whereas an equilateral triangle has 3?
A
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
B
Isosceles triangles have curved bases
C
Equilateral triangles are 3D solids
D
Isosceles triangles have no right angles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
Step-by-Step Explanation:
The single line of symmetry in an isosceles triangle splits the angle between the two equal sides.
20
Short Answer
Medium
1 Mark
Dev says: 'A circle has only 4 lines of symmetry: vertical, horizontal, and two diagonals.' Why is Dev wrong?
A
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
B
A circle has 0 lines of symmetry
C
A circle has only 2 lines of symmetry
D
A circle is not a geometric shape
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
Step-by-Step Explanation:
Any straight line passing through the center of a circle is a line of symmetry; there are infinitely many such lines.
21
Short Answer
Medium
1 Mark
Hannah folds a rectangular paper along its diagonal and says: 'The diagonal is a line of symmetry because the two halves are congruent triangles.' What is her mistake?
A
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
B
Rectangles have 0 lines of symmetry
C
Diagonals only exist in squares
D
The triangles have different areas
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
Step-by-Step Explanation:
For a line of symmetry, the two halves must match up identically upon folding along the line.
22
Fill in the Blanks
Medium
1 Mark
On a grid with a vertical mirror line at x = 5, a point is drawn at x = 2 (3 units left). What x-coordinate is its reflected image?
A
x = 8
B
x = 7
C
x = 9
D
x = 10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
x = 8
Step-by-Step Explanation:
Mirror line is at 5. Distance is 5 - 2 = 3. Reflected point is at 5 + 3 = 8.
23
Fill in the Blanks
Medium
1 Mark
A regular polygon has equal sides and 5 lines of symmetry. Which polygon is this?
A
Regular Pentagon
B
Regular Hexagon
C
Square
D
Equilateral Triangle
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Regular Pentagon
Step-by-Step Explanation:
A regular pentagon has 5 equal sides and exactly 5 lines of symmetry.
24
Short Answer
Medium
1 Mark
A road safety crew paints a triangular hazard sign that has 3 equal sides and 3 equal angles. How many lines of symmetry does the sign have?
A
3 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 lines of symmetry
Step-by-Step Explanation:
An equilateral triangle has 3 lines of symmetry.
25
Short Answer
Medium
1 Mark
An artist draws the left half of a symmetrical vase on grid paper. The widest point is 7 units to the left of the center line. How wide is the completed vase from left edge to right edge?
A
14 units
B
13 units
C
7 units
D
16 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
14 units
Step-by-Step Explanation:
Reflective symmetry doubles the width: 7 × 2 = 14 units wide.
26
Short Answer
Medium
1 Mark
At the Signage & Heraldry Workshop, an artisan creates a Equilateral Triangle Traffic Sign. If it possesses 3 lines of symmetry, how many equal reflection sectors are created when all lines are drawn?
A
6 sectors
B
3 sectors
C
5 sectors
D
12 sectors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 sectors
Step-by-Step Explanation:
Each line of symmetry divides the shape into halves; 3 lines divide it into 6 congruent sectors.
27
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a scalene triangle have (all sides different)?
A
0 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
3 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
0 lines of symmetry
Step-by-Step Explanation:
A scalene triangle has no equal sides or angles, so it has 0 lines of symmetry.
28
Multiple Choice
Easy
1 Mark
Which of the following capital letters has both a horizontal and a vertical line of symmetry?
A
H
B
A
C
C
D
F
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
H
Step-by-Step Explanation:
The letter 'H' can be folded in half horizontally and vertically.
29
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a non-square rectangle have?
A
2 lines of symmetry
B
4 lines of symmetry
C
1 line of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2 lines of symmetry
Step-by-Step Explanation:
A rectangle has 2 lines of symmetry (vertical and horizontal). Diagonals are not lines of symmetry.
30
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a standard square have?
A
4 lines of symmetry
B
2 lines of symmetry
C
8 lines of symmetry
D
1 line of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 lines of symmetry
Step-by-Step Explanation:
A square has 4 lines of symmetry (1 vertical, 1 horizontal, 2 diagonals).
31
Short Answer
Hard
2 Marks
A square tile with side 10 cm has a symmetrical pattern. If one quarter of the tile contains a shaded area of 14 cm², what is the total shaded area of the complete tile?
A
56 cm²
B
42 cm²
C
28 cm²
D
70 cm²
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56 cm²
Step-by-Step Explanation:
Because the pattern is symmetrical across four quarters: 14 cm² × 4 = 56 cm².
32
Short Answer
Hard
2 Marks
Which of the following digits has BOTH a horizontal line of symmetry and a vertical line of symmetry when written in standard block font?
A
8
B
0
C
3
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
The digit '8' (and '0') has both vertical and horizontal symmetry in standard symmetrical block font.
33
Short Answer
Hard
2 Marks
If you fold a paper shape twice (once horizontally and once vertically) and punch a single hole through all layers, how many holes will appear when unfolded?
A
4 holes
B
2 holes
C
3 holes
D
8 holes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 holes
Step-by-Step Explanation:
Folding twice doubles the layers twice (1 → 2 → 4 layers), producing 4 holes upon unfolding.
34
Short Answer
Hard
2 Marks
Why does an isosceles triangle have exactly 1 line of symmetry, whereas an equilateral triangle has 3?
A
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
B
Isosceles triangles have curved bases
C
Equilateral triangles are 3D solids
D
Isosceles triangles have no right angles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
Step-by-Step Explanation:
The single line of symmetry in an isosceles triangle splits the angle between the two equal sides.
35
Short Answer
Medium
1 Mark
Dev says: 'A circle has only 4 lines of symmetry: vertical, horizontal, and two diagonals.' Why is Dev wrong?
A
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
B
A circle has 0 lines of symmetry
C
A circle has only 2 lines of symmetry
D
A circle is not a geometric shape
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
Step-by-Step Explanation:
Any straight line passing through the center of a circle is a line of symmetry; there are infinitely many such lines.
36
Short Answer
Medium
1 Mark
Hannah folds a rectangular paper along its diagonal and says: 'The diagonal is a line of symmetry because the two halves are congruent triangles.' What is her mistake?
A
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
B
Rectangles have 0 lines of symmetry
C
Diagonals only exist in squares
D
The triangles have different areas
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Although the triangles are congruent, they do not match up when folded along the diagonal; edges stick out
Step-by-Step Explanation:
For a line of symmetry, the two halves must match up identically upon folding along the line.
37
Fill in the Blanks
Medium
1 Mark
On a grid with a vertical mirror line at x = 5, a point is drawn at x = 2 (3 units left). What x-coordinate is its reflected image?
A
x = 8
B
x = 7
C
x = 9
D
x = 10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
x = 8
Step-by-Step Explanation:
Mirror line is at 5. Distance is 5 - 2 = 3. Reflected point is at 5 + 3 = 8.
38
Fill in the Blanks
Medium
1 Mark
A regular polygon has equal sides and 5 lines of symmetry. Which polygon is this?
A
Regular Pentagon
B
Regular Hexagon
C
Square
D
Equilateral Triangle
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Regular Pentagon
Step-by-Step Explanation:
A regular pentagon has 5 equal sides and exactly 5 lines of symmetry.
39
Short Answer
Medium
1 Mark
A road safety crew paints a triangular hazard sign that has 3 equal sides and 3 equal angles. How many lines of symmetry does the sign have?
A
3 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 lines of symmetry
Step-by-Step Explanation:
An equilateral triangle has 3 lines of symmetry.
40
Short Answer
Medium
1 Mark
An artist draws the left half of a symmetrical vase on grid paper. The widest point is 6 units to the left of the center line. How wide is the completed vase from left edge to right edge?
A
12 units
B
11 units
C
6 units
D
14 units
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12 units
Step-by-Step Explanation:
Reflective symmetry doubles the width: 6 × 2 = 12 units wide.
41
Short Answer
Medium
1 Mark
At the Geometric Design Lab, an artisan creates a Rectangle Window Frame. If it possesses 2 lines of symmetry, how many equal reflection sectors are created when all lines are drawn?
A
4 sectors
B
2 sectors
C
4 sectors
D
8 sectors
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 sectors
Step-by-Step Explanation:
Each line of symmetry divides the shape into halves; 2 lines divide it into 4 congruent sectors.
42
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a scalene triangle have (all sides different)?
A
0 lines of symmetry
B
1 line of symmetry
C
2 lines of symmetry
D
3 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
0 lines of symmetry
Step-by-Step Explanation:
A scalene triangle has no equal sides or angles, so it has 0 lines of symmetry.
43
Multiple Choice
Easy
1 Mark
Which of the following capital letters has both a horizontal and a vertical line of symmetry?
A
H
B
A
C
C
D
F
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
H
Step-by-Step Explanation:
The letter 'H' can be folded in half horizontally and vertically.
44
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a non-square rectangle have?
A
2 lines of symmetry
B
4 lines of symmetry
C
1 line of symmetry
D
0 lines of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2 lines of symmetry
Step-by-Step Explanation:
A rectangle has 2 lines of symmetry (vertical and horizontal). Diagonals are not lines of symmetry.
45
Multiple Choice
Easy
1 Mark
How many lines of symmetry does a standard square have?
A
4 lines of symmetry
B
2 lines of symmetry
C
8 lines of symmetry
D
1 line of symmetry
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 lines of symmetry
Step-by-Step Explanation:
A square has 4 lines of symmetry (1 vertical, 1 horizontal, 2 diagonals).
46
Short Answer
Hard
2 Marks
A square tile with side 10 cm has a symmetrical pattern. If one quarter of the tile contains a shaded area of 14 cm², what is the total shaded area of the complete tile?
A
56 cm²
B
42 cm²
C
28 cm²
D
70 cm²
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56 cm²
Step-by-Step Explanation:
Because the pattern is symmetrical across four quarters: 14 cm² × 4 = 56 cm².
47
Short Answer
Hard
2 Marks
Which of the following digits has BOTH a horizontal line of symmetry and a vertical line of symmetry when written in standard block font?
A
8
B
0
C
3
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
The digit '8' (and '0') has both vertical and horizontal symmetry in standard symmetrical block font.
48
Short Answer
Hard
2 Marks
If you fold a paper shape twice (once horizontally and once vertically) and punch a single hole through all layers, how many holes will appear when unfolded?
A
4 holes
B
2 holes
C
3 holes
D
8 holes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 holes
Step-by-Step Explanation:
Folding twice doubles the layers twice (1 → 2 → 4 layers), producing 4 holes upon unfolding.
49
Short Answer
Hard
2 Marks
Why does an isosceles triangle have exactly 1 line of symmetry, whereas an equilateral triangle has 3?
A
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
B
Isosceles triangles have curved bases
C
Equilateral triangles are 3D solids
D
Isosceles triangles have no right angles
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
An isosceles triangle has only 2 equal sides, so only the line between those two sides creates matching halves
Step-by-Step Explanation:
The single line of symmetry in an isosceles triangle splits the angle between the two equal sides.
50
Short Answer
Medium
1 Mark
Dev says: 'A circle has only 4 lines of symmetry: vertical, horizontal, and two diagonals.' Why is Dev wrong?
A
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
B
A circle has 0 lines of symmetry
C
A circle has only 2 lines of symmetry
D
A circle is not a geometric shape
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
A circle has an infinite (unlimited) number of lines of symmetry passing through its center
Step-by-Step Explanation:
Any straight line passing through the center of a circle is a line of symmetry; there are infinitely many such lines.