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What is the size of each interior angle of a regular pentagon?
The answer is 108'. There is a nice way of answering this for any regular polygon (like a square, a pentagon, a hexagon etc): first split your regular polygon into triangles by joining one vertex (point where 2 lines meet) to all other vertices. You will be left with several triangles, (eg in a pentagon 3 triangles). The interior angles of a triangle add to 180', so we can see that the interior angles of our pentagon add to 3 x 180 = 540'. And there are 5 vertices so 540/5=108', which is out answer.
Briefly explain the focus and directrix of a parabola?
the set of points equidistant from a fixed point
Locus of points equidistant from a point?
circle
What is the set of all points in the plane equidistant from one point in the plane?
The set of all points in the plane equidistant from one point in the plane is named a parabola.
Show shape that has more than 4 vertices?
A shape that has more than 4 vertices is called a polygon. Polygons are closed geometric figures with straight sides. Examples of polygons with more than 4 vertices include a pentagon (5 vertices), hexagon (6 vertices), heptagon (7 vertices), octagon (8 vertices), nonagon (9 vertices), decagon (10 vertices), and so on. Each vertex represents a point where two sides of the shape meet.
