A convex quadrilateral is a four-sided shape with all interior angles less than 180 degrees. This means that all the vertices of the quadrilateral point outwards, and the shape does not have any "dents" or concave portions.
To prove that a quadrilateral is convex, you need to show that all its interior angles are less than 180 degrees. This can be done by measuring the angles using a protractor or by using the fact that the sum of all interior angles in a quadrilateral is always equal to 360 degrees.
Some properties of a convex quadrilateral include: all angles are less than 180 degrees, opposite sides are parallel, opposite angles are congruent, and the sum of all interior angles is 360 degrees.
To prove that a quadrilateral is both convex and a parallelogram, you need to show that it has all the properties of a convex quadrilateral as well as a parallelogram. This includes having opposite sides parallel and congruent, and opposite angles congruent.
No, a convex quadrilateral cannot have any right angles. This is because a right angle measures exactly 90 degrees, which is greater than the maximum angle measure of a convex quadrilateral (less than 180 degrees). If a quadrilateral has a right angle, it would be considered a concave quadrilateral instead.