A square, a paralellogram, a trapezoid, a circle, a rectangle, a rhombus.
The shape you're describing is an isosceles triangle. It has three sides, with two sides being equal in length, and the third side being different. An isosceles triangle typically does not have rational symmetry, as its symmetry is limited to a single axis of reflection through the vertex opposite the base.
triangle
yes
The letter T for example
A parallelogram normally has no lines of symmetry unless it is in the shape of a rectangle which will then give it 2 lines of symmetry
The shape you're describing is an isosceles triangle. It has three sides, with two sides being equal in length, and the third side being different. An isosceles triangle typically does not have rational symmetry, as its symmetry is limited to a single axis of reflection through the vertex opposite the base.
triangle
yes
It depends on the shape!
The letter T for example
A parallelogram normally has no lines of symmetry unless it is in the shape of a rectangle which will then give it 2 lines of symmetry
Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
There are many. An isosceles triangle, for example.
is a square a rational symmetry? is a square a rational symmetry?
Yes, a regular pentagon has reflection symmetry. It has five lines of symmetry, each passing through a vertex and the midpoint of the opposite side. However, an irregular pentagon may or may not possess reflection symmetry, depending on its specific shape.
Shapes can exhibit several types of symmetry, including reflective symmetry, where one half is a mirror image of the other; rotational symmetry, where a shape looks the same after being rotated by a certain angle; and translational symmetry, where a shape can be moved (translated) along a certain direction and still appear unchanged. Additionally, some shapes may possess glide reflection symmetry, which combines reflection and translation. Each type of symmetry contributes to the overall aesthetic and mathematical properties of the shape.
A regular pentagon has rotational symmetry but does not have rational symmetry. Rational symmetry refers to the property of a shape that can be divided into equal parts by rotations that are fractions of a full rotation (e.g., 1/2, 1/3). Since a regular pentagon can only be rotated by 72 degrees (1/5 of a full rotation) to map onto itself, it does not exhibit rational symmetry.