What Does Diagonal mean?

Question

Maths Question

Answer 1

A line segment that connects any two non-consecutive vertices of any polygon.

A triangle has no diagonals

A quadrilateral has two diagonals

A pentagon has 5 diagonals.

(and, it doesn't matter if the polygon is convex or concave)

Answer 2

A diagonal is a straight line in a closed polygon between two points that are not connected by an edge (in geometry, an edge is also called a side).

In a rectangle ABCD with edges AB, BC, CD and DA, the line from A to C and the line from B to D are diagonals.

In a pentagon ABCDE with sides AB, BC, CD, DE, EA, the diagonals are AC, AD, BD, BE and CE.

Drawing alle the diagonals in the pentagon gives you a new figure. The geometric shape of the figure inclosed in the middle of the figure is a pentagon too, but it has been turned upsdide down.

When you're able to draw the pentagon with all its diagonals and get an upsidedown pentagon in the middle, you will have mastered the fine art of knwoing what a diagonal is.

Answer 3

A diagonal can refer to a line joining two nonadjacent vertices of a polygon or polyhedron, or in some contexts any upward or downward sloping line. The word "diagonal" was originally from the Greek διαγωνιος (diagonios), used by both Strabo[1] and Euclid[2] to refer to a line connecting two vertices of a rhombus or cuboid,[3] and is formed from dia- ("through", "across") and gonia ("angle", related to gony "knee."), later adopted into Latin as diagonus ("slanting line").

In mathematics, in addition to its geometric meaning, a diagonal is also used in matrices to refer to a set of entries along a diagonal line.

Answer 4

the line joining the vertexes and lay inside in a convex polygon

look up your dictionary for the word diagonal.

Answer 5

it is a line joining any two vertices in a linear figure having more than 4 vertices, or a line joining any two vertices in a polyhedral figure that are not in the same face.