Parallel Lines and Transversal

Q.

Adjacent angles of a parallelogram are ___.

1. not related

2. supplementary

3. complementary

4. at right angle

Q.

Find angle x if line l is parallel to line m and line n is a transversal.

1. 

2. 

3. 

4. 

Q. In the figure, E is the mid-point of side AD of a trapezium ABCD with AB || CD. A line through E parallel to AB meets
BC in F.

Then find which of the option is correct.

1. $BF=\frac{1}{2}BC$
2. $BF=\frac{1}{4}BA$
3. $BF=\frac{1}{4}BC$
4. $BF=\frac{1}{3}BC$

Q. M is the mid point of side PQ of a parallelogram PQRS. A line through Q parallel to MS meets SR at N and PS produced at L.



Then which of the following is correct?

1. $QL=PL$
2. $QL=PQ$
3. $QL=2QN$
4. $QL=2QR$

Q. If D and E are the mid-points of AB and AC of ΔABC respectively, then which of the following are not true?

1. DE $\parallel$ BC
2. 2 × DE = BC
3. DE = 2 × BC
4. DE = $\frac{1}{2}$ × BC

Q. In the given parallelogram, AC = 8 cm. Find the length of AO.

1. 3 cm
2. 4 cm
3. 2 cm
4. 5 cm

Q.

ABCD is a trapezium with $AB\parallel DC$. E and F are points on non-parallel sides AD and BC respectively such that $EF\parallel AB$. Then, $\frac{AE}{ED}=\frac{BF}{FC}$.

1. True

2. False

Q.

In the figure given below, if BD = 2.4 cm, AC = 3.6 cm, PD = 4 cm, PB = 3.2 cm, and AC is parallel to BD, then the lengths of PA & PC will be

1. 4.8 cm and 6 cm respectively

2. 6.8 cm and 4 cm respectively

3. 6 cm and 4.8 cm respectively

4. 4 cm and 6.8 cm respectively

Q.

In the given figure, QR is parallel to AB and DR is parallel to QB. If PD = 4 cm and PA = 9 cm, then PQ = ____.

1. 4 cm

2. 6 cm

3. 9 cm

4. 8 cm

Q.

In the given figure, DE || BC, AE = 15cm, EC = 9cm, NC = 6 cm & BN = 24 cm. The value of ME & DM are

1. 3.75 & 15 cm respectively

2. 3 cm & 15.75 cm respectively

3. 3 cm & 15 cm respectively

4. 3.75 & 15.75 cm respectively