NCERT Solutions for Chapter: Quadrilaterals, Exercise 1: Exercise

If bisectors of $\angle A$ and $\angle B$ of a quadrilateral $ABCD$ intersect each other at $P\mathit{,}$ bisectors of $\angle B$ and $\angle C$ at $Q,$ bisectors of $\angle C$ and $\angle D$ meet at $R$ and bisectors of $\angle D$ and $\angle A$ meet at $S$, then $PQRS$ is a

If $APB$ and $CQD$ are two parallel lines, then the bisectors of the angles $APQ\mathit{,}\mathit{ }BPQ\mathit{,}\mathit{ }CQP$ and $PQD$ form

The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is

$\mathrm{D}$ and $\mathrm{E}$ are the midpoints of the sides $\mathrm{AB}$ and $\mathrm{AC}$ of $\mathrm{\Delta ABC}$ and $\mathrm{O}$ is any point on side $\mathrm{BC}$. $\mathrm{O}$ is joined to $\mathrm{A}$. If $\mathrm{P}$ and $\mathrm{Q}$ are the midpoints of $\mathrm{OB}$ and $\mathrm{OC}$ respectively, then $\mathrm{DEQP}$ is

The figure formed by joining the mid-points of the sides of a quadrilateral $\mathrm{ABCD}$, taken in order, is a square only, if

The diagonals $\mathrm{AC}$ and $\mathrm{BD}$ of a parallelogram $\mathrm{ABCD}$ intersect each other at the point $\mathrm{O}$, if $\angle \mathrm{DAC}=32°$ and $\angle \mathrm{AOB}=70°$ then $\angle \mathrm{DBC}$ is equal to

Which of the following is not true for a parallelogram?

$\mathrm{D}$ and $\mathrm{E}$ are the midpoints of the sides $\mathrm{AB}$ and $\mathrm{AC}$ respectively of $△\mathrm{ABC}$. $\mathrm{DE}$ is produced to $\mathrm{F}$. To prove that $\mathrm{CF}$ is equal and parallel to $\mathrm{DA}$, we need additional information which is