Question

In quadrilateral $PQRS$
(i) Name the sides, angles, vertices and diagonals.
(ii) Also name all the pairs of adjacent sides, adjacent angles, opposite sides and opposite angles.

Answer 1

(i) Sides: $\overline{PQ},\overline{QR},\overline{RS},\overline{RP}$

Angles : $\angle QPS,\angle PSR,\angle SRQ,\angle RQP$

Vertices: $P,Q,R,SDiagonals:\overline{PR},\overline{QS}$.

(ii) Pairs of adjacent sides: $\overline{PQ},\overline{QR};\overline{QR},\overline{RS};\overline{RS},\overline{SP}$ and $\overline{SP},\overline{PQ}$

Pair of adjacent angles: $\angle QPS,\angle PSR;\angle PSR,\angle SRQ;\angle SRQ,\angle RQP$ and $\angle RQP,\angle QPS$

Pairs of opposite sides: $\overline{PS},\overline{QR}$ and $\overline{QP},\overline{RS}$

Pairs of opposite angles: $\angle QPS,\angle SRQ$ and $\angle PSR,\angle RQP$.