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
It depends on the shape!
yes
The letter T for example
Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
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
There are many. An isosceles triangle, for example.
is a square a rational symmetry? is a square a rational symmetry?
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.
No. You can reflect any shape about a line but if the resulting image is not the same as the original, that line is not a line of symmetry.
Reflection symmetry, reflectional symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection