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false
What else can I help you with?
The figure shows the preimage and image of three points that have been rotated around point P, plus the preimage of quadrilateral DEFG. Is this statement true or false D'E'F'G' shows the rotation of quadrilateral DEFG?
true
Can a point or a line segment be its own preimage?
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
What shape will stay the same no matter how many degrees it is rotated?
a square,circle,pentagon
Does a regular pentagon have rotational symmetry?
Yes, a regular pentagon has rotational symmetry. It can be rotated around its center by multiples of (72^\circ) (360° divided by 5) and still look the same. This means it has five distinct positions in which it can be rotated without appearing different. Thus, the regular pentagon exhibits rotational symmetry of order 5.
Which regular polygon when rotated 72 degrees will carry the polygon onto itself?
The regular pentagon is the polygon that will carry itself onto itself when rotated by 72 degrees. This is because a pentagon has five equal sides and angles, and a rotation of 72 degrees corresponds to one-fifth of a complete turn (360 degrees). Each rotation by this angle aligns one vertex with the position of the next vertex, maintaining the polygon's symmetry.
How can the orientation of the image compare with the orientation of the preimage?
Well, honey, when we talk about the orientation of an image compared to the preimage, we're looking at whether the image is flipped, turned, or stayed the same. If the image is flipped, we call it a reflection; if it's turned, we call it a rotation. And if it stayed the same, well, that's just boring old identity. So, in a nutshell, the orientation can change through reflection or rotation, or it can stay the same.
What is the smallest number of degrees needed to rotate a regular pentagon around its center onto itself?
The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five equal sides and angles, so it can be rotated by 360 degrees divided by 5, which equals 72 degrees, to achieve the same orientation.
Does a regular pentagon have 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.
What regular polygon that has an order of rotational symmetry of 5?
A regular polygon with an order of rotational symmetry of 5 is a regular pentagon. This means that the pentagon can be rotated by multiples of 72 degrees (360 degrees divided by 5) and still look the same. Each of its five sides and angles is equal, contributing to this symmetrical property.
How can you make a polygon with 10 sides?
To make a 10-sided regular polygon: I recommend you do 1 and 2 in pencil, and 3 in pen, you can always erase. 1- Draw a pentagon (five sided polygon). 2- Draw a pentagon just like the one you just made, rotated 180º (upside down) on top of the other pentagon (the center must be in the same place). 3- Connect adjacent (nearby) points of the two pentagons with straight lines.
If a design maintains all characteristics when it is rotated about a point it has symmetry?
This is the definition of "rotational symmetry", or if the statement is true for any number of degrees of rotation it is also "circular symmetry.".
What are some examples of rotational symmetry?
Rotational symmetry occurs when an object can be rotated around a central point and still appear the same at certain angles. Examples include a square, which looks the same when rotated 90 degrees, and a regular pentagon, which maintains its appearance at 72-degree intervals. Other examples are the blades of a windmill and certain patterns found in nature, like starfish and flowers.
