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Download Worksheet1.

In the figure below, ABCD is a trapezium in which AB DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F. Which of the following statement is true?

1. BC = 2BF
2. BC = 3BF/2
3. BC = 3BF
4. None of these

2.

ABCD is a quadrilateral and AP and DP are bisectors of and . The value of x is ________.

1.
2.
3.
4.

3.

In the given figure, if ABCD is a parallelogram, then the value of is

1.
2.
3.
4.

4.

In the given figure ABCD is a rhombus such that BD = 8 cm, find the length of BC.

1.
2.
3.
4.

5.

In the figure, PQRS is a parallelogram in which , is equal to ______.

1.
2.
3.
4.

6.

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively given in the figure. Which of the following statement is true?

1. DP = DB/2
2. DP = DB/3
3. DP = 2DB/3
4. DP = DB/4

7.

Chooae the correct option: In the given figure, ABCD is a parallelogram and AP, BP, CR and DR are the angle bisectors of respectively. Then, PQRS is _______.

1. Rhombus
2. Square
3. Rectangle
4. parallelogram

8.

Chooae the correct option: In the given figure ABCD is a parallelogram where AP and CQ are the bisectors of and . Then APCQ is a _______.

1. Rhombus
2. Square
3. Rectangle
4. Parallelogram

9.

In the figure, ABCD is a rhombus whose side AB is produced to points P and Q such that AP = AB = BQ. PD and QC are produced to meet at a point R. What is the value of ?

1.
2.
3.
4.

10.

In the figure, PQRS is a parallelogram whose diagonals intersect at O. Find the values of x.

1.
2.
3.
4.

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