Mahabir Singh Solutions for Chapter: Quadrilaterals, Exercise 2: ACHIEVERS SECTION (HOTS)

By using a given figure of quadrilateral $ABCD,$ match the following:

Column-I Column-II
(P) If ABCD is a Parallelogram (1) $25°$
then sum of the angles $X,YandZ$
is-
(Q) If ABCD is a rhombus (2) $180°$
where $\angle D=130°$, then
the value of $X$ is
(R) If ABCD is a rhombus, the (3) $50°$
value of $\mathrm{W}$ is
(S) If $ABCD$ is a Parallelogram, (4) $90°$
where $x+\mathit{}y=130°,$then the
value of $\angle B$ is

Read the statements carefully and state $‘T\text{'}$for true and $‘F’$for false.
(i) Diagonals of a parallelogram are perpendicular to each other.
(ii) All four angles of a quadrilateral can be obtuse angles.
(iii) If all sides of a quadrilateral are equal, then it is a rhombus.

If the sides $BA$and $DC$of quadrilateral $ABCD$ are produced as shown in the given figure, then