A regular pentagon in which the base has been stretched out (or squashed) equally in both directions.
A regular pentagon has five lines of symmetry, but a specific type of pentagon known as an irregular pentagon can have only two lines of symmetry. An example would be a pentagon where two sides are equal in length, and the angles opposite these sides are equal, creating reflectional symmetry across those two lines. However, the specific arrangement would affect the overall symmetry, so not all irregular pentagons will have exactly two lines of symmetry.
If all the sides and angles of a pentagon were equal, you would be able to put a mirror through the centre, and have the reflection be equal to the original image. This means that it would have reflective symmetry. If a pentagon does not have reflective symmetry, then it's angles and side lengths cannot all be the same. Thus, it is an irregular pentagon.
In general, a square. A square always has 4 lines of symmetry. A pentagon need not have any. Only a regular pentagon can have 5 lines of symmetry. But if you created pentagons from sides with random lengths then, assuming the pentagons existed, only a tiny fraction would be regular: most pentagons would have no axes of symmetry.
Yes, but it would have to be an irregular one.
The Pentagon has 5 lines of symmetry quite simply, actually. See, say you made one line straight through the pentagon at every vertex, right? Well, once you do that, you have 3 lines of symmetry in total, right? Now, say you make another 2 lines of symmetry, this time right through the center of each side. In total, this would make 5.
A regular pentagon has five lines of symmetry, but a specific type of pentagon known as an irregular pentagon can have only two lines of symmetry. An example would be a pentagon where two sides are equal in length, and the angles opposite these sides are equal, creating reflectional symmetry across those two lines. However, the specific arrangement would affect the overall symmetry, so not all irregular pentagons will have exactly two lines of symmetry.
If all the sides and angles of a pentagon were equal, you would be able to put a mirror through the centre, and have the reflection be equal to the original image. This means that it would have reflective symmetry. If a pentagon does not have reflective symmetry, then it's angles and side lengths cannot all be the same. Thus, it is an irregular pentagon.
It would then be classed as an irregular 5 sided pentagon.
In general, a square. A square always has 4 lines of symmetry. A pentagon need not have any. Only a regular pentagon can have 5 lines of symmetry. But if you created pentagons from sides with random lengths then, assuming the pentagons existed, only a tiny fraction would be regular: most pentagons would have no axes of symmetry.
An irregular 5 sided pentagon that looks like a hut would fit the given description.
Yes, but it would have to be an irregular one.
An irregular 5 sided pentagon that looks like a hut would fit the given description.
Any polygon with an even number of sides can have two lines of symmetry, but it would have to be irregular.
The Pentagon has 5 lines of symmetry quite simply, actually. See, say you made one line straight through the pentagon at every vertex, right? Well, once you do that, you have 3 lines of symmetry in total, right? Now, say you make another 2 lines of symmetry, this time right through the center of each side. In total, this would make 5.
An irregular pentagon would have the same number of degrees (collective angle degrees) as a regular pentagon. (But, honestly, I don't know the number of degrees in a pentagon right off the top of my head.) Just like how all triangles have a total of 180 degrees and all quadrilaterals have a total of 360 degrees.
Well, darling, that would be a pentagon. It's like a fancy five-sided shape that's so symmetrical, it's practically showing off. So, next time you see a pentagon, just remember it's the diva of shapes with its five lines of symmetry.
One which has sides of differing lengths, when their REGULAR form can be made from sides of all the same length. For example, a distorted regular pentagon would be irregular.