###### Asked in Math and ArithmeticGeometry

Math and Arithmetic

Geometry

# What does a hexagon with one line of symmetry and two reflex angles look like?

## Answer

###### Wiki User

###### January 03, 2011 10:41PM

Two trapezoids

## Related Questions

###### Asked in Math and Arithmetic, Geometry

### Is there such thing as an irregular hexagon with symmetry?

Yes, a regular hexagon has ALL sides the same length and ALL
angles equal. If you flatten it somewhat (like the profile of a
lens) then the sides may still have the same length but some angles
will be larger than others if opposite angles are the same than
there will be symmetry. (there are many other options to retain
symmetry in a hexagon this is but one)

###### Asked in Math and Arithmetic, Geometry

### How does a hexagon with 1 line of symmetry look like?

It is difficult to illustrate the answer but I'll try a
description.
Start with a regular hexagon. All sides equal, all angles equal,
six lines of symmetry.
Squash the top down so that the middle vertices spread outwards.
You will now have a shape with two lines of symmetry: one
horizontal: halfway up the hexagon and one vertical: halfway
across.
Now take a chunk out of the middle of the top (or bottom, but
not both) side and re-join the ends. That will get rid of the
horizontal line of symmetry and all you are left with is the one
vertical line.

###### Asked in Math and Arithmetic, Geometry

### What is a concave hexagon?

A concave hexagon is one in which one or two interior angles are
greater than 180 degrees. With one reflex angle, it would look like
a chevron.
The browser used here is pretty grim for graphics but, the
following is a crude rendition. Ignore the dots - they are required
to get the spacing approximately right!
_____
\.......\
..\.......\
../....../
/____/

###### Asked in Geometry

### Which polygon doesn't belong out of a rectangle and triangle and hexagon and trapezoid?

If the triangle and hexagon are equilateral, then the trapezoid
is not like the others because all of its angles are not equal. A
rectangle will have 4 equal right angles. An equilateral triangle
will have 3 equal acute 60 degree angles. An equilateral hexagon
will have 6 equal obtuse 120 degreeangles.

###### Asked in Geometry

### What does a hexagon look like?

###### Asked in Geometry

### Is a rectangle a regular hexagon?

No, a rectangle has 4 sides, and 4 right-angled angles,
the 2 opposite sets of parallel sides with equal lengths to each
other, like an extended square.
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A rectangular box of dashes.
But a hexagon has six sides. A regular hexagon has
all sides and all angles equal, each internal angle being 120o.
----

###### Asked in Geometry

### How many right angles does a hexagon have?

A regular hexagon (all sides and angles congruent) has no
right angles, although it's possible that an irregular hexagon
could. All hexagons have six sides and six angles. The angles must
add up to 720°. So it would be possible to have as many as 5 angles
equal 90° (5 x 90° = 450°), and one angle equal 270° (450° + 270° =
720°).
Take a rectangle then cut a rectangular notch at one of the
corners. You now have 6 sides and 6 angles. Five of the angles are
right angles (90°). The sixth angle looks like a right angle, but
it is 'cut in' (the polygon is concave, now): the measure of this
angle is 270°.

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