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CBSE - Class 9 > Mathematics > Quadrilaterals Worksheets

Free CBSE - Class 9 Mathematics - Quadrilaterals worksheets

Sample Worksheets

Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

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 trapezium in which $AB \| CD$ and $AD = BC$ (see Fig. 8.14). Show that (i) $\angle A = \angle B$ [Hint : Extend $AB$ and draw a line through $C$ parallel to $DA$ intersecting $AB$ produced at $E$.]

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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 (ii) $MD \perp AC$
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Chapters in CBSE - Class 9 Mathematics

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

Free Quadrilaterals Worksheets

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Rakesh R
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