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Draw in all the lines of symmetry for each regular polygon. Complete the table.

Mathematics

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Answer

c
3
4
5

Here is the completed table and a description of the lines of symmetry for each regular polygon:

a) Triangle (Equilateral)

  • Number of sides: 3
  • Number of lines of symmetry: 3
    • Description of lines of symmetry: There are three lines of symmetry. Each line passes through a vertex and the midpoint of the opposite side.

b) Square

  • Number of sides: 4
  • Number of lines of symmetry: 4
    • Description of lines of symmetry: There are four lines of symmetry. Two lines connect the midpoints of opposite sides, and two lines are the diagonals connecting opposite vertices.

c) Pentagon (Regular)

  • Number of sides: 5
  • Number of lines of symmetry: 5
    • Description of lines of symmetry: There are five lines of symmetry. Each line passes through a vertex and the midpoint of the opposite side.

Here is the table with the values:

PolygonNumber of sidesNumber of lines of symmetrya)Triangle33b)Square44c)Pentagon55\begin{array}{|l|l|c|c|} \hline & \text{Polygon} & \text{Number of sides} & \text{Number of lines of symmetry} \\ \hline \text{a)} & \text{Triangle} & \boxed{3} & \boxed{3} \\ \hline \text{b)} & \text{Square} & \boxed{4} & \boxed{4} \\ \hline \text{c)} & \text{Pentagon} & \boxed{5} & \boxed{5} \\ \hline \end{array}
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