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What kind of polygon has all vertices lie on a circle?
It is a regular polygon as for example an equilateral triangle
What is a polygon whose vertices lie on a circle?
A polygon which has a circumscribed circle is called a cyclic polygon.All regular simple polygons, all triangles and all rectangles are cyclic.
What is a frequency polygon graph?
In a Frequency Polygon, a line graph is drawn by joining all the midpoints of the top of the bars of a histogram. A frequency polygon gives the idea about the shape of the data distribution. The two end points of a frequency polygon always lie on the x-axis.
Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
Two angles that lie in the same plane have a common vertex and a common side but no common interior points?
adjacent angles.
Which polygon has the property line which contains a side of the polygon and passes through the interior of the polygon?
A polygon that has a line containing a side and also passing through its interior is known as a self-intersecting polygon or a crossed polygon. An example of this is a star-shaped polygon, such as a five-pointed star. In such polygons, the sides intersect themselves, creating segments that both lie on the boundary and extend into the interior.
Why can't a concave quadrilateral be regular?
By definition, a regular polygon has all interior angles the same, but a concave polygon has some interior angles that are not identical. Also, it violates the axiom that all vertices lie on a circle.While it is possible to construct a polygon with equilateral sides, to be concave would require a form that is equally convex and laterally opposite. (An example is a 'solid arrow shape.')
What is the difference between alternate interior angles and interior angles?
An interior angle is an angle defined by two sides of a polygon and that is inside the polygon. Opposite interior angles are specific pairs of interior angles, those that are opposite each other in the polygon. Alternate or opposite interior angles are also angles that lie on opposte sides of the tranversal line that cuts through parallel lines.
How many degrees are there in a kite?
A kite is a 4 sided quadrilateral and its 4 interior angles add up to 360 degrees, as in all quadrilaterals. The two diagonals lie at right-angles to each other.
What is A segment that connects any two non consecutive vertices?
A segment that connects any two non-consecutive vertices in a polygon is called a "diagonal." Diagonals are line segments that do not lie along the edges of the polygon and can be drawn between vertices that are not adjacent. In a polygon with ( n ) vertices, the total number of diagonals can be calculated using the formula (\frac{n(n-3)}{2}).
What kind of polygon has all vertices lie on a circle?
It is a regular polygon as for example an equilateral triangle
True or false a triangle is inscribed in another figure if each vertex of the triangle lies somewhere in the interior of that figure.?
False. A triangle is inscribed in another figure if all its vertices lie on the boundary of that figure, not in the interior. For a triangle to be inscribed, it must touch the edges of the figure, such as a circle or polygon.
How may degrees in a 27 sided polygon?
Well honey, a 27-sided polygon has 27 interior angles. To find the sum of those angles, you use the formula (n-2) * 180, where n is the number of sides. So, for a 27-sided polygon, you'd have (27-2) * 180 = 4,860 degrees. Math doesn't lie, darling.
What is a polygon whose vertices lie on a circle?
A polygon which has a circumscribed circle is called a cyclic polygon.All regular simple polygons, all triangles and all rectangles are cyclic.
Explain how to tell whether a polygon is a convex?
If, for any two points A and B in the polygon, all points with position A + kB are inside the polygon for 0 ≤ k ≤ 1, then the polygon is convex. In simple terms, if all points on the line AB lie inside the polygon, it is convex. If there is at least one point on AB that is outside the polygon then it is not a convex polygon.
Is boxes a polygon?
No, a polygon must be 2 dimensional and lie on a single plane.
What types of angles lie on opposite sides of the diagonals in a parallelogram?
vertical lines
