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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
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.
Locus of points equidistant from a point?
circle
What solid figure has four vertices?
A triangular pyramid has four vertices. Picture a "regular" triangle. There are three sides, and three vertices. Now pick a point "behind" the triangle, and connect that point to each of the three vertices of the triangle. That fourth point is the fourth vertex of the triangular pyramid you have just constructed. Use the link below to see images of your figure so you can lock it in, and then share your findings with others to aid them.
What is the center of a regular polygon?
the point that is equidistant from all vertices of a polygon.
What is a point that is equidistant from all vertices of a regular polygon?
the center
Is this statement true or falseThe center of a regular polygon is the point that is equidistant from the midpoints of the sides of the polygon?
False
Which point in a triangle is equidistant from the vertices's of the triangle?
Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).
What is the center of a regular polygon is the center of the included circle?
In a regular polygon, the center is the point that is equidistant from all vertices, and it serves as the center of the inscribed circle (incircle). This incircle is tangent to each side of the polygon, meaning it touches each side at exactly one point. The radius of this incircle is the distance from the center to any of these tangent points. Thus, the center of a regular polygon is also the center of the circle that fits perfectly inside it.
A point that two sides of a polygon have in common are called a?
A point that two sides of a polygon have in common is called a vertex. Each regular polygon has an equal number of sides as vertices.
The point equidistant from the three vertices is called?
circumcenter
Is a vertex is a regular polygon?
A vertex is the point where two (or more) lines meet. Polygons have vertices.
What is the point equidistant from the 3 vertices of a triangle?
It is called the circumcentre.
The circumcenter of a triangle is the point equidistant from the vertices of the triangle?
True
The point at which the diagonals of a parallelogram intersect is equidistant from the four vertices?
sometimes
The point at which the diagonal of a parallelogram intersect is equidistant from the four vertices?
sometimes
