Primary School · Mathematics

Symmetry (2-D shapes having axial symmetry): Practice Questions

5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Symmetry (2-D shapes having axial symmetry).

9 questions22 marksFree, no account

Question 1

1 mark

Which of the following 2-D shapes has axial symmetry and exactly 2 axes of symmetry?

Question 2

1 mark

Which of the following 2-D shapes has exactly 2 axes of symmetry?

Question 3

1 mark

The figure below is a regular hexagram (a six-pointed star formed by two overlapping congruent equilateral triangles). How many axes of symmetry does it have?

Question 4

1 mark

How many axes of symmetry does a square have?

Question 5

1 mark

Which of the following 2-D shapes has axial symmetry and exactly 3 axes of symmetry?

Question 6

3 marks

A 2-D shape is a rhombus that is not a square. How many axes of symmetry does it have in total, and do these axes pass through the vertices or the midpoints of the sides?

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Question 7

5 marks

Identify a quadrilateral that has exactly 4 axes of symmetry and explain why a regular pentagon does not have the same number of axes of symmetry.

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Question 8

3 marks

An equilateral triangle is shown below. How many axes of symmetry does it have in total?

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Question 9

6 marks

Consider the following properties of 2-D geometric shapes and their axial symmetry. Answer the following questions:

(a) A 2-D shape has exactly 3 axes of symmetry and all its sides are equal in length. What is the name of this specific triangle?

(b) Imagine a rectangle that is not a square. How many axes of symmetry does it have? Describe where they are located relative to the sides.

(c) Point A is on one side of an axis of symmetry, and Point B is its reflection on the other side. If the shortest distance from Point A to the axis of symmetry is \(5\) cm, what is the total distance between Point A and Point B?

(d) Which of the following shapes has an infinite number of axes of symmetry: a square, a rhombus, or a circle?

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