0
Add your answer:
Earn +20 pts
How can you tell whether a quadrilateral is convex or not convex?
If any of the angles is greater than 180 degrees, the quadrilateral is concave.
What is the largest angle in quadrilateral?
Any angle <360 degrees is possible, though it would be a concave quadrilateral if the angle were greater than 180 deg.
Is a triangle convex or concave?
Three vertices polygons (aka triangle) can not be concave or convex because it doesn't have enough verticies to susustain an internal angle is less than or equal to 180 degrees. * * * * * Actually, a triangle IS a convex polygon. Convexity requires angle to be less than 180 degrees and since the three angles of a triangle sum to 180 degrees, each one of them MUST be less than 180 degrees!
Is it possible to have quadrilateral whose sum of angle measurement is less than 360 degrees?
No because the 4 interior angles of any 4 sided quadrilateral always add up to 360 degrees.
What is a quadrilateral with one interior reflex angle?
a kite or a dart * * * * * Not a kite: all its angles are less than 180 degrees.
How can you tell whether a quadrilateral is convex or not convex?
If any of the angles is greater than 180 degrees, the quadrilateral is concave.
What is the largest angle in quadrilateral?
Any angle <360 degrees is possible, though it would be a concave quadrilateral if the angle were greater than 180 deg.
Could a concave quadrilateral have more than one reflex angle?
A reflex angle is over 180 degrees, but the sum of the angles in a quadrilateral, concave or convex, is 360. Therefore, since 180+180=360, you can't have any more degrees even without the amount over 180 that the reflex angle has.
Does the measure of an unknown angle in a quadrilateral always has to be equal to or less than 90 degrees?
No.
Is a triangle convex or concave?
Three vertices polygons (aka triangle) can not be concave or convex because it doesn't have enough verticies to susustain an internal angle is less than or equal to 180 degrees. * * * * * Actually, a triangle IS a convex polygon. Convexity requires angle to be less than 180 degrees and since the three angles of a triangle sum to 180 degrees, each one of them MUST be less than 180 degrees!
Is it possible to have quadrilateral whose sum of angle measurement is less than 360 degrees?
No because the 4 interior angles of any 4 sided quadrilateral always add up to 360 degrees.
What are 2 ways to classify a hexagon?
Convex(all interior angles are less than, or equal to, 180 degrees) and concave(one interior angle is more than 180 degrees).
What is a quadrilateral with one interior reflex angle?
a kite or a dart * * * * * Not a kite: all its angles are less than 180 degrees.
Is it possible for each angle of a quadrilateral to measure less than 100 degrees?
Yes as for example a square has 4 interior equal angles of 90 degrees.
Is a hexagon a convex figure?
It depends on what the angles are. If any of the angles have measurements greater than 180 degrees, it is concave. If all angles are less than 180 degrees, then it is concave. For example, a regular hexagon has six 120 degree angles, so it is convex. If there was a hexagon with five 90 degree angles and one 270 degree angle, it would be concave.
Which polygons are concave?
A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Can you have a quadrilateral with three acute angles?
Yes you can, as long as the four angles (obviously three of which will be less than 90 degrees) end up with a sum of 360 degrees, meaning there will have to be at least one obtuse angle in a non-square quadrilateral.
