How many symmetrical lines does a triangle have

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The symmetry of the shape on the left and its relationship to the shape on the right can be thought of in two ways: Fold the left-hand shape along the central line. View larger image. Previous 2. Next 2. Print Print. Take your learning further Making the decision to study can be a big step, which is why you'll want a trusted University. OpenLearn Search website Back to top.

Our partners OpenLearn works with other organisations by providing free courses and resources that support our mission of opening up educational opportunities to more people in more places. The figure is symmetric along the lines l and m joining the midpoints of opposite sides.

The figure is symmetric along the diagonals AC and BD of the figure. In the figure there are three lines of symmetry. In the figure there are four lines of symmetry. The figure is symmetric along the 2diagonals and 2 midpoints of opposite sides. In the figure there are infinite lines of symmetry. The figure is symmetric along all the diameters. Each regular polygon equilateral triangle, square, rhombus, regular pentagon, regular hexagon etc.

The number of lines of symmetry in a regular polygon is equal to the number of sides a regular polygon has. Some figures like scalene triangle and parallelogram have no lines of symmetry.

If the length of each side of a triangle is one third of its perimeter, how many lines of symmetry does it have? If the length of each side of a triangle is one-third of its perimeter, how many lines of symmetry does it have?

The first thing we can do is draw an example of this kind of triangle. We know that the length of each side of a triangle is one-third of its perimeter. We also know, to find the perimeter of a triangle, the distance all the way around, we have to add the lengths of every side.

So we say side plus side plus side equals perimeter.