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When a figure is translated reflected or rotated what is the same about the original figure and its image?
It still has the same weight. Even turned or reflected the weight/mass remains the same.
What figure has rotational symmetry but not line symmetry?
A figure that has rotational symmetry but not line symmetry is a figure that can be rotated by a certain angle and still look the same, but cannot be reflected across a line to create a mirror image of itself. An example of such a figure is a regular pentagon, which has rotational symmetry of 72 degrees but does not have any lines of symmetry. This means that if you rotate a regular pentagon by 72 degrees, it will look the same, but you cannot reflect it across any line to create a mirror image.
How many orders of symmetry does a rectangle have?
The rectangle's rotational symmetry is of order 2. A square's rotational symmetry is of order 4; the triangle has a symmetry of order 3. Rotational symmetry is the number of times a figure can be rotated and still look the same as the original figure.
What is congrunent?
If a shape is congruent to another, it means both shapes are exactly the same (one might have been rotated around slightly, but it is still the same shape).
How many order of rotational symmetry does a circle have?
The order of rotational symmetry for a circle is infinite. This is because it can be rotated any amount from the middle and it will still look the same. You can use a special sign to show this: ∞
What is a figure that can be rotated less than 360 degrees about its center and still look exactly the same exactly the same as the originial?
A circle
What is the minimum of degrees that a square can be rotated before it carries onto itself?
90 degrees
What is the angle of rotation of square?
The angle of rotation of a square refers to the degrees it can be rotated around its center without changing its appearance. A square can be rotated by 90 degrees, 180 degrees, 270 degrees, or 360 degrees and still look the same. Therefore, the angles of rotation that maintain the square's symmetry are multiples of 90 degrees.
When a figure is translated reflected or rotated what is the same about the original figure and its image?
It still has the same weight. Even turned or reflected the weight/mass remains the same.
How many different places can a design be rotated and still maintain all of its characteristics when a design has four-fold symmetry?
A design with four-fold symmetry can be rotated 90, 180, or 270 degrees and still maintain all of its characteristics. This means there are three different places it can be rotated while keeping its symmetry.
How do you know if a figure has rotational symmetry?
A figure has rotational symmetry if it can be rotated by a certain angle (less than 360 degrees) and still looks the same. The number of times you can rotate the figure and have it look the same determines the order of rotational symmetry - a square has rotational symmetry of order 4, for example.
What figure has rotational symmetry but not line symmetry?
A figure that has rotational symmetry but not line symmetry is a figure that can be rotated by a certain angle and still look the same, but cannot be reflected across a line to create a mirror image of itself. An example of such a figure is a regular pentagon, which has rotational symmetry of 72 degrees but does not have any lines of symmetry. This means that if you rotate a regular pentagon by 72 degrees, it will look the same, but you cannot reflect it across any line to create a mirror image.
What rotation symmetry does a regular hexagon have?
A regular hexagon has a rotation symmetry of 60 degrees, meaning it can be rotated by multiples of 60 degrees and still look the same. This is because a regular hexagon has six equal sides and angles, allowing it to be rotated in increments of 60 degrees to align perfectly. In other words, there are six positions in which a regular hexagon can be rotated to before it repeats its original orientation.
What is the resulting figure after a transformation?
The resulting figure after a transformation is the new shape or position of a geometric figure following operations such as translation, rotation, reflection, or dilation. This transformation alters the original figure's size, orientation, or position while maintaining its fundamental properties, such as angles and relative distances. For example, a triangle might be rotated 90 degrees, resulting in a triangle that is oriented differently but still congruent to the original.
What is the order of rotational symmetry of an arrow head?
The order of rotational symmetry of an arrowhead is 2. This means that the arrowhead can be rotated by 180 degrees and still look the same as its original position. Additionally, it can also be rotated by 360 degrees, which represents one full rotation. Thus, there are two distinct orientations (0 degrees and 180 degrees) where the arrowhead appears unchanged.
What is order of rotational symmetry for rhombus?
A rhombus has an order of rotational symmetry of 2. This means that it can be rotated by 180 degrees and still look the same, and it can also be rotated by 360 degrees, which brings it back to its original position. In essence, there are two distinct orientations in which a rhombus can appear identical during rotation.
What kind of shapes are rotational symmerty?
Shapes with rotational symmetry can be rotated around a central point and still appear the same at certain angles. Common examples include circles, squares, equilateral triangles, and regular polygons, which maintain their appearance when rotated by specific degrees (e.g., 90 degrees for a square or 120 degrees for an equilateral triangle). The order of rotational symmetry refers to how many times the shape matches its original position in one full rotation (360 degrees).
