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Draw two axes of symmetry of the regular pentagon shown in the diagram below - Junior Cycle Mathematics - Question 9 - 2013
Question 9
Draw two axes of symmetry of the regular pentagon shown in the diagram below. What is the total number of lines of symmetry of a regular pentagon? Complete the ima... show full transcript
Worked Solution & Example Answer:Draw two axes of symmetry of the regular pentagon shown in the diagram below - Junior Cycle Mathematics - Question 9 - 2013
Step 1
Draw two axes of symmetry of the regular pentagon shown in the diagram below.
Answer
To draw the axes of symmetry for a regular pentagon, start by identifying the vertices of the pentagon. Then, draw lines connecting each vertex to the midpoint of the opposite side. For a regular pentagon, there are five symmetrical lines, but here you only need to draw two of them. This could include one line from a vertex to the opposite side and another from a different vertex to its corresponding opposite side.
Step 2
Step 3
Complete the image of the pentagon under a central symmetry in the origin.
Answer
To complete the image of the pentagon under central symmetry at the origin, reflect each vertex of the pentagon across the origin. For a vertex located at coordinates (x, y), the reflected vertex will be at (-x, -y). Ensure the shape maintains its regularity and symmetry with respect to the origin.