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CBSE - Class 9 > Mathematics > Quadrilaterals Worksheets

Free CBSE - Class 9 Mathematics - Quadrilaterals worksheets

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1.

Diagonal $AC$ of a parallelogram $ABCD$ bisects $\angle A$ (see Fig. 8.11). Show that (i) it bisects $\angle C$ also,

2.

Diagonal $AC$ of a parallelogram $ABCD$ bisects $\angle A$ (see Fig. 8.11). Show that (ii) $ABCD$ is a rhombus.

3.
$ABCD$ is a rectangle in which diagonal $AC$ bisects $\angle A$ as well as $\angle C$. Show that: (i) $ABCD$ is a square
4.
$ABCD$ is a rectangle in which diagonal $AC$ bisects $\angle A$ as well as $\angle C$. Show that: (ii) diagonal $BD$ bisects $\angle B$ as well as $\angle D$.
5.

In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (i) $\Delta APD \cong \Delta CQB$

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6.

In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (ii) $AP = CQ$

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7.

In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (iii) $\Delta AQB \cong \Delta CPD$

8.

In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (iv) $AQ = CP$

      

9.

$ABCD$ is a parallelogram and $AP$ and $CQ$ are perpendiculars from vertices $A$ and $C$ on diagonal $BD$ (see Fig. 8.13). Show that (i) $\Delta APB \cong \Delta CQD$

10.
$ABC$ is a triangle right angled at $C$. A line through the mid-point $M$ of hypotenuse $AB$ and parallel to $BC$ intersects $AC$ at $D$. Show that (iii) $CM = MA = \frac{1}{2}AB$
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Chapters in CBSE - Class 9 Mathematics

Surface Area and Volumes Worksheet Number Systems Worksheet Coordinate Geometry Worksheet Polynomials Worksheet Linear Equations in Two Variables Worksheet Introduction to Euclid’s Geometry Worksheet Lines and Angles Worksheet Triangles Worksheet Areas of Parallelograms and Triangles Worksheet Circles Worksheet Constructions Worksheet Heron’s Formula Worksheet Statistics Worksheet Probability Worksheet

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