The sides, vertices, and diagonals are parts of the polynomial that are
used to describe the polygon or are defined based on the polygon.
a. The sides are; TE, EM, MA, and AT
Vertices are; T, E, M, and A
The polygon has 2 distinct diagonals
b. The sides are; BN, NC, CA, AL, LU, and UB
Vertices are; B, N, C, A, L, and U
Number of distinct diagonals are 9
What are the sides vertices and diagonals of a polygon?
a. The sides of the quadrilateral TEMA are;
TE, EM, MA, and AT
The vertices of the quadrilateral are; T, E, M, and A
The number of distinct diagonals of a polygon are given as follows;
[tex]Number \ of \ diagonals = \mathbf{ \dfrac{n \cdot (n - 3)}{2}}[/tex]
Where;
n = The number of sides of the polygon
The number of distinct diagonals of the quadrilateral TEMA, with 4 sides is therefore;
[tex]Number \ of \ diagonals \ in \ the \ quadrilateral= \dfrac{4\times (4 - 3}{2} = 2[/tex]
The number of diagonals = 2
b. The sides of the hexagon BNCALU are;
BN, NC, CA, AL, LU, and UB
The vertices of the hexagon are; B, N, C, A, L, and U
[tex]Number \ of \ diagonals \ in \ the \ hexagon= \dfrac{6\times (6 - 3)}{2} = 9[/tex]
The number of distinct diagonals of the hexagon BNCALU = 9
Learn more about diagonals here;
https://brainly.com/question/4781816
