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Point symmetry is a type of symmetry where a figure is identical to its reflection through a central point, known as the center of symmetry. In point symmetry, for every point in the figure, there exists another point at an equal distance from the center but in the opposite direction. This means that if you were to draw a line from one point to the center and extend it an equal distance on the other side, you would find a corresponding point of the figure. Common examples include the graph of a function that is odd or geometric shapes like a star.
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What is a point of symmetry and a line containing that point?
It is a line through the point of symmetry. In general it is not an axis of symmetry.
When an image has a point of symmetry then the line containing that point will be a line of symmetry?
false
What figure has line symmetry and point symmetry?
A circle exhibits both line symmetry and point symmetry. It has an infinite number of lines of symmetry that pass through its center, dividing it into two mirror-image halves. Additionally, any point on the circle can be reflected through its center to another point on the circle, demonstrating point symmetry. This means that every point on the circle is equidistant from the center, reinforcing both types of symmetry.
What has 2 lines of symmetry and no point symmetry?
rectangle
Does a triangle have point symmetry?
No, a triangle does not have point symmetry. Point symmetry occurs when an object or shape remains the same after being rotated 180 degrees around a central point. In the case of a triangle, it does not have point symmetry because it does not look the same after a 180-degree rotation.
What is a point of symmetry and a line containing that point?
It is a line through the point of symmetry. In general it is not an axis of symmetry.
What is a figure that has point symmetry but not line symmetry?
The letters S and N have point symmetry but not line symmetry.
When an image has a point of symmetry then the line containing that point will be a line of symmetry?
false
When an image has a point of symmetry then any line containing that point will be a line of symmetry?
False
What has 2 lines of symmetry and no point symmetry?
rectangle
Does a triangle have point symmetry?
No, a triangle does not have point symmetry. Point symmetry occurs when an object or shape remains the same after being rotated 180 degrees around a central point. In the case of a triangle, it does not have point symmetry because it does not look the same after a 180-degree rotation.
Which point of parabola is on the axis of symmetry?
Its extremum is on its axis of symmetry.
When an image has a point of symmetry then any line containing that point will be a line of symmetry true or false?
true
Are center of symmetry and inversion symmetry one and the same?
No, the centre of symmetry is a point usually somewhere in the middle of an object around which things like rotational or reflection occurs. Inversion symmetry is a sort of symmetry itself and not a point like the centre.
How many lines of symmetry does a 5 point star have?
A 5 point star has 5 lines of symmetry.
For every point on one side of a line of symmetry there is a corresponding point on the other side of the line symmetry?
True.
How many lines of symmetry does a four point star have?
it has five lines of symmetry
