Conditions for a Quadrilateral to be a Parallelogram

Write the sufficient condition for a quadrilateral to be a square.

Square is a quadrilateral.

When do we say a quadrilateral is a rectangle?

If Quadrilateral has four equal sides then it is a Rhombus.

Write sufficient conditions for a quadrilateral to be a rhombus.

Read the following 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 $APB$and $CQD$ are two parallel lines, then the bisectors of the angles $APQ,BPQ,CQP$ and $PQD$ form

The bisector angles of a parallelogram forms which of the following?

A quadrilateral is a rhombus if

A quadrilateral is a parallelogram then

What are the conditions for a quadrilateral to be rhombus?

In the given figure, $\mathrm{ABCD}$ is rhombus whose diagonals intersect at $O.$ If $E$ and $F$ are mid-points of $AO$ and $BO$ respectively, then find the length of $EF$.

What are the conditions for a quadrilateral to be parallelogram?

In a quadrilateral $\mathrm{ABCD}, \mathrm{AO}$ and $\mathrm{BO}$ are the bisectors of $\angle \mathrm{A}$ and $\angle \mathrm{B}$ respectively, $\angle \mathrm{C}=70°$ and $\angle \mathrm{D}=30°$. Then, $\angle \mathrm{AOB}=?$

In the adjacent figure $HOPE$ is a parallelogram. Find the angle measures $x, y \text{and} z$. State the geometrical truths you use to find them.

A quadrilateral can be a square if

A quadrilateral can be a rectangle if

A quadrilateral can be a rhombus if

A quadrilateral can be a parallelogram if

Which of the following is not a parallelogram?

In the figure, $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ is a parallelogram and $\mathrm{A}\mathrm{O}$ and $\mathrm{B}\mathrm{O}$ are bisectors of $\mathrm{\angle }\mathrm{A}$ and $\mathrm{\angle }\mathrm{B}$ respectively. If the measure of $\mathrm{\angle }\mathrm{A}\mathrm{O}\mathrm{B}\mathit{=}k°$.Then find $k$.

The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is $60°$ and if the greatest angle of a parallelogram is $x°$, then find the value of $x$.