Symmetry (2-D shapes having axial symmetry): แบบฝึกหัด

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

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

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?

How many axes of symmetry does a square have?

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

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?

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.

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

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?