Can the diagonal of a polygon can join any two vertices of a polygon?
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Can the diagonal of a polygon can join any two vertices of a polygon?
Diagonals. A diagonal is a line segment that joins one corner (vertex) of a polygon to another but is not an edge (side). In other words, it joins any two non-adjacent vertices of a polygon. So, we form a diagonal in a polygon when we directly join any two vertices which are not joined by any side.
What connects two vertices of a polygon?
A line segment joining two adjacent vertices of a polygon is called an edge. A line segment joining two non-adjacent vertices is called a diagonal.
What is a line segment that joins two vertices?
The segment joining the two opposite vertices in a polygon is called a diagonal.
Which line segment is a diagonal?
A diagonal is a straight line connecting the opposite corners of a polygon through its vertex. To learn about diagonals, we must first know that: It (diagonal) is a line segment….What is Diagonal?
| Shape Names | Number of Vertices | Number of Diagonals |
|---|---|---|
| Triangle | 3 | 0 |
| Quadrilateral | 4 | 2 |
| Pentagon | 5 | 5 |
| Hexagon | 6 | 9 |
What do you call to a polygon whose diagonals intersect?
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal….Polygons.
| Sides | Diagonals |
|---|---|
| 5 | 5 |
| 6 | 9 |
| 7 | 14 |
| 8 | 20 |
What is a diagonal of a polygon?
A more general definition of a diagonal of a polygon is a line segment that joins two vertices of the polygon which are not already joined by an edge of the polygon.
What is a line segment connecting two nonconsecutive vertices of a polygon?
A diagonal is a line segment connecting two non-consecutive vertices of a polygon.
What are line segments in a polygon called?
The line segments that form a polygon are called the sides of the polygon. A point where two sides meet is a vertex (plural form is vertices). Any two sides determine an interior angle of the polygon; an exterior angle is formed by a side and an adjacent side extended.
Which can be considered as the diagonal of a polygon?
In a polygon, the diagonal is the line segment that joins two non-adjacent vertices. An interesting fact about the diagonals of a polygon is that in concave polygons, at least one diagonal is actually outside the polygon.
What is the name of a polygon whose diagonals lie in the interior of the polygon?
Properties of a Concave Polygon Some of the diagonals of a concave polygon will lie outside the polygon. In the figure on the right, the diagonal at the top of the polygon is outside the polygon’s interior space. (In a convex polygon, all diagonals will lie inside the polygon).
What are polygons joined at?
The points where two edges meet are the polygon’s vertices (singular: vertex) or corners. The interior of a solid polygon is sometimes called its body.
How do you find the number of diagonals in a polygon find the number of diagonals in a Heptagon?
Detailed Solution
- Given: Heptagon has 7 sides.
- Formula Used: Number of diagonals = n(n – 3)/2.
- Calculation: Number of sides (n) = 7. ⇒ Number of diagonals = n(n – 3)/2. ⇒ Number of diagonals = 7(7 – 3)/2. ⇒ Number of diagonals = 7 × 4/2. ⇒ Number of diagonals = 14. ∴ Diagonals in a heptagon are 14.
What is a diagonal in polygons?
What is the name of the line segment connecting any two nonconsecutive vertices of a polygon?
diagonal
A diagonal is a line segment connecting two non-consecutive vertices of a polygon.
What is the definition of a diagonal of a polygon?
Which of the given polygons has two diagonals?
quadrilateral
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices.
What are vertices in polygons?
A point at which two polygon edges of a polygon meet.
