Question

Answer the following questions based on the figure given below.



(1) Write the name of the quadrilateral.
(2) Write the names of the vertices of the quadrilateral.
(3) Write the names of the angles of the quadrilateral using three letters.
(4) Write the names of the pairs of opposite sides of the quadrilateral.
(5) Write the names of the pairs of adjacent sides of the quadrilateral.
(6) Write the names of the pairs of opposite angles of the quadrilateral.
(7) Write the names of the pairs of adjacent angles of the quadrilateral.
(8) Write the names of the diagonals of the quadrilateral.

Answer 1

(1) Name of the quadrilateral is $\square$LMNP

(2) Vertex is a point at which two sides of a polygon intersect and vertices is the plural form of vertex.
∴ In $\square$LMNP, vertices are L, M, N and P.

(3) Name of the angles are $\angle$LMN, $\angle$MNP, $\angle$NPL and $\angle$PLM.

(4) Seg LM, Seg MN, Seg NP and Seg PL are the sides of the quadrilateral and the two opposite sides of quadrilateral have no common vertex.
Seg LM and Seg NP form a pair of opposite sides of the quadrilateral.
Seg MN and Seg PL form another pair of opposite sides of the quadrilateral.

(5) Two adjacent sides have a common vertex.
∴ Seg LM and Seg MN, Seg MN and Seg NP, Seg NP and Seg PL, Seg PL and Seg LM are the pair of adjacent sides of the quadrilateral.

(6) $\angle$LMN, $\angle$MNP, $\angle$NPL and $\angle$PLM are the angles of the quadrilateral and the two opposite angles of quadrilateral have no common arm.
$\angle$LMN and $\angle$NPL form a pair of opposite angles of the quadrilateral.
$\angle$MNP and $\angle$PLM form another pair of opposite angles of the quadrilateral.

(7) Two adjacent angles have a common arm.
∴ $\angle$LMN and $\angle$MNP, $\angle$MNP and $\angle$NPL, $\angle$NPL and $\angle$PLM, $\angle$PLM and $\angle$LMN are the pair of adjacent angles of the quadrilateral.

(8) A line segment joining the opposite vertices of a quadrilateral is called the diagonal of the quadrilateral.
∴ Seg LN and Seg MP are the diagonals of the quadrilateral LMNP.