Does an obtuse scalene triangle have rotational symmetry?
A scalene triangle has no lines of symmetry. It has rotational symmetry of order 1. It has no equal sides and no equal angles.
Which pattern has a 180 degrees rotational symmetry?
If we rotate 180 degrees about any of the red dots in the above diagram, we get the pattern back. So our strip pattern has rotational symmetry.
Does an isometry maps an acute triangle onto an obtuse triangle?
An isometry… maps an acute triangle onto an obtuse triangle. a figure in a plane has a line of symmetry if the figure can be mapped on itself by a reflection in the line.
Is rotation a rigid transformation?
A rotation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image. An object and its rotation are the same shape and size, but the figures may be positioned differently.
What is the orientation of a triangle?
Perfect example of “oriented” figure on a plane is the right triangle ΔABC with sides AB=5 , BC=3 and AC=4 . To introduce orientation, let’s position ourselves above the plane and, looking down on this triangle, notice that the way from vertex A to B and then to C can be viewed as the clockwise movement.
How do you know when figures are congruent?
Two polygons are congruent if they are the same size and shape – that is, if their corresponding angles and sides are equal.
What transformation does not change its orientation but is not congruent?
Reflection is a congruence transformation. Under a reflection the image is laterally inverted. Thus reflection does NOT preserve orientation.
Does dilation change orientation?
Dilations. A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size. The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.