**Parallel
Lines and Transversal Worksheet**

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**Parallel Lines and Transversal Worksheet
1 **

**1.
**Choose the correct answer for each of the following:

a.
A line which intersects two or more lines at different points is

i. intersecting lines

ii. transversal lines

iii. parallel lines

iv. oblique lines

b.
If two lines are intersected by a transversal and then the sum of co-interior angles is always

i. 240°

ii. 360°

iii. 110°

iv. 180°

c.
If two lines are intersected by a transversal then the alternate angles between
parallel lines are

i. not equal

ii. complementary

iii. equal

iv. supplementary

d.
If two lines are intersected by a transversal and a pair of interior angles are
equal then the lines are

i. transversals

ii. parallel lines

iii. intersecting

iv. none of these

**2.
**State true or false for each of the following:

a.
Two lines which intersect at 90° to each other are called perpendicular lines.

b.
When two lines never meet, they are said to be intersecting lines.

c. Two points can
be joined by a straight line or a curved line.

**3. **In the given figures, *p*||*q *and s is a transversal
such that ∠6 = 100°.
Find all the other angles marked in the figure.

**4.
**Fill in the blanks:

a.
Co-interior angles between parallel lines are ___________.

b.
Corresponding angles between pair of parallel lines are ___________.

c.
Parallel lines are always ___________.

**Parallel
Lines and Transversal Worksheet 2 **

**1.** In the given figure AB ||
CD || EF. Find the value of *a*, *b *and *c*.

**2. **Find the reflex angle at O.

**3. **Show that AB||EF, in the given fig. and then find the value of *a*,
*b*, *c *and *d*.

**4.
**State true or false for each of the following:

a.
Vertically opposite angles are supplementary.

b.
Two lines are said to be intersecting, if they have no common point.

c.
Standing lines are called vertical lines.

d. When two parallel lines are
intersected by a transversal, then the sum of interior angles on the same side
of transversal is complementary.

**Parallel Lines and Transversal Worksheet
3 **

**1.
**Choose the correct answer for each of the following:

a.
When a transversal intersects two parallel lines, how many angles are formed?

i. 10

ii. 4

iii. 8

iv. 12

b.
Sleeping lines are known as

i. vertical lines

ii. oblique lines

iii. transversal lines

iv. horizontal lines

c.
Two parallel lines

i. meet at a point

ii. meet on a line

iii. never meet

iv. lie in one straight line

d.
If two parallel lines are intersected by a transversal, then

i.
Vertically opposite angles are equal.

ii.
Alternate interior angels are complementary.

iii.
Corresponding angles are supplementary.

iv.
Co-interior angles are supplementary.

**2.** In the given figure, show that AB||CD

**3.** Find
the value of unknown angles from the figure.

**4.**Find the value of ∠

*a*in the figure if the lines AB and CD are parallel.

**5.** Find the value of unknown angles.

**6.
**Classify as parallel lines and perpendicular
lines:

a.
windows (opposite sides) b. traffic lights

c.
paper (edges) d. straight tree e. railroads

**7. **Show that PQ||ST.

**ANSWERS**

**Worksheet
1 **

1. a. ii b. iv

c. iii d. ii

2. a. True b. False

c. True

3. a. ∠1 = 80°, ∠2 = 100°

∠3 = 100°, ∠4 = 80°

∠5 = 80°, ∠7 = 80°

∠8 = 100°

b. ∠1 = 40°, ∠2 = 100°

4. a. supplementary

b. Equal

c. non-meeting

**Worksheet
2**

1. a. ∠a
= 53°, ∠b = 53°, ∠c = 53°

b. ∠a = 110°, ∠b = 70°, ∠c = 70°

2. a. 300° b. 270°

3. ∠a
= 55°, ∠b
= 125°

∠c = 55°, ∠d = 125°

4. a. False b. False

c. True d. False

**Worksheet
3**

1. a. iii b. iv

c. iii d. iv

2. Do it yourself by finding the corresponding angles

3. ∠a
= 80°, ∠b = 120°, ∠c = 60°

∠d = 80°, ∠e = 100°

4. ∠a
= 75°

5. a. ∠x
= 50°, ∠y = 60°

b. ∠x = 50°, ∠y = 60°

c. ∠x = 70°, ∠y = 40°

d. ∠x = 110°, ∠y = 70°

6. a. Parallel lines

b. Perpendicular lines

c. Perpendicular lines

d. Perpendicular lines

e. Parallel lines

7. Do it yourself by finding the corresponding angles

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