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Quizzes > Mathematics

Symmetry Test: Find Lines of Symmetry in Shapes, Numbers, Letters

Quick, free symmetry quiz to check your skills. Instant results.

Editorial: Review CompletedCreated By: Alex CucUpdated Aug 23, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art shapes numbers and letters arranged in mirror symmetry on a coral background

This symmetry test helps you spot lines of symmetry in common shapes, numbers, and letters while building speed and spatial sense. If you enjoy visual challenges, try our mental rotation test to practice turning objects in your head, or sharpen pattern skills with a matrices quiz. For more careful visual work, check your focus with an attention to detail quiz.

How many lines of symmetry does a non-square rectangle have?
0
2 (one vertical and one horizontal)
1
4
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Which uppercase English letter has exactly one vertical line of symmetry and no horizontal line of symmetry in a standard block font?
B
A (correct because ideal block A is mirrored across a vertical line)
C
G
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A square has rotational symmetry of which order?
2
4 (correct because it maps to itself every 90 degrees)
3
1
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A scalene triangle has no lines of symmetry.
False
True
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How many lines of symmetry does a regular hexagon have?
6 (correct because each vertex and edge pairing defines an axis)
3
4
8
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Which statement about a kite (with unequal adjacent sides) is true?
It has no lines of symmetry.
It has exactly two lines of symmetry.
It has exactly one line of symmetry (correct because only the axis through unequal vertex angles is a mirror)
It has rotational symmetry of order 4.
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A regular pentagon has rotational symmetry of order 5.
False
True
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Which transformation is a reflection?
Dilate by scale factor 2
Translate by vector (3,2)
Rotate 90 degrees about the origin
Map (x,y) to (x,-y) (correct because it mirrors across the x-axis)
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Which uppercase letter has no line of symmetry in a standard block font?
V
T
S (correct because it is not mirrored across vertical or horizontal)
U
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A rhombus that is not a square has exactly two lines of symmetry.
False
True
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Which coordinate reflection produces the same image as a 180-degree rotation about the origin?
Reflect across x-axis then y-axis (correct because composition equals (x,y)->(-x,-y))
Reflect across y-axis then x-axis but only once
Reflect across y=-x only
Reflect across y=x only
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An equilateral triangle has rotational symmetry of order 3.
False
True
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Which letter pair with ascenders are mirror images across a vertical axis in many standard fonts?
b and d
p and q
u and n
m and n
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A regular hexagon has a line of symmetry through each pair of opposite vertices and each pair of opposite edges.
False
True
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Which shape has exactly two lines of symmetry but is not a rectangle?
Kite with unequal adjacent sides
Scalene triangle
General rhombus (not square)
Non-square rectangle
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Which transformation maps (x,y) to (-y,x)?
Rotation by 90 degrees counterclockwise about the origin (correct because the rotation matrix is [0 -1; 1 0])
Rotation by 180 degrees about the origin
Reflection across the x-axis
Reflection across y = x
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A shape with dihedral symmetry D4 has 8 symmetries total.
True
False
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The lowercase letter g in most fonts has a vertical line of symmetry.
False
True
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Which tessellation pattern preserves reflection symmetry across both axes?
A checkerboard of squares (correct because it has mirrors along grid lines)
A herringbone parquet
A brick pattern offset every other row
A hexagonal honeycomb colored alternately
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Which of the following letters has rotational symmetry but no reflection symmetry in typical block font?
Z
None of these
N
S
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0

Study Outcomes

  1. Understand Symmetry Principles -

    Grasp the fundamental concepts of line, rotational, and reflective symmetry to lay the groundwork for effective symmetry checker use.

  2. Analyze Two-Dimensional Shapes -

    Examine various shapes to determine vertical, horizontal, or diagonal lines of symmetry and strengthen shape symmetry test skills.

  3. Evaluate Letter and Number Symmetry -

    Assess alphanumeric characters for symmetrical properties along different axes, enhancing your accuracy in symmetry quizzes.

  4. Apply Symmetry Checker Strategies -

    Use systematic approaches to solve symmetry practice questions and improve your ability to test symmetry skills under time constraints.

  5. Enhance Spatial Reasoning -

    Develop sharper visual and cognitive abilities by identifying patterns and balances in shapes, letters, and numbers.

  6. Boost Detection Speed -

    Increase both the accuracy and speed of spotting symmetry across multiple question types, making your symmetry quiz experience more efficient.

Cheat Sheet

  1. Types of Symmetry -

    Understanding the three main symmetry types - reflective (mirror), rotational, and translational - forms the backbone of any effective symmetry checker approach. For example, a regular hexagon has six lines of reflective symmetry and rotational symmetry of order 6 (360°/6). Source: Khan Academy's geometry modules.

  2. Reflective Symmetry and Axes -

    Reflective symmetry occurs when a shape can fold along an axis so that both halves match exactly; you can test this by drawing a candidate line and using tracing paper or digital mirroring tools. Remember the mnemonic "FOLD" (Find, Outline, Draw line) to systematically approach shapes symmetry tests. Source: National Council of Teachers of Mathematics (NCTM) guidelines.

  3. Rotational Symmetry Order -

    Rotational symmetry is identified by how many times a shape maps onto itself during a full 360° turn; calculate order n using 360°/θ, where θ is the smallest rotation angle. A regular pentagon, with θ=72°, has rotational symmetry of order 5. Source: MIT OpenCourseWare, "Symmetry in the Plane."

  4. Symmetry in Numbers and Letters -

    Beyond shapes, recognizing symmetry in characters - like the palindromic number 1881 or the letter "A" - sharpens spatial skills. Include number lines or grid overlays to practice spotting vertical versus horizontal axes. Source: Math is Fun's symmetry quiz bank.

  5. Practice with a Symmetry Checker Quiz -

    Regularly engaging with targeted symmetry practice questions - such as our free symmetry checker and shapes symmetry test - builds pattern recognition and timing accuracy. Try timed drills of 5 - 10 questions, increasing complexity from simple polygons to composite figures. Source: Educational Research Review on spatial reasoning drills.

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