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Parallel Lines
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Page 2


Parallel Lines
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Based on the diagram, answer the following questions
3 )
78°
x°
Find the value of angle x. Explain how you found your answer:
x = 
Find the value of x°
4 )
48°
2x°
x = 
Find the value of x°
5 )
86°
2x - 10
x = 
Page 3


Parallel Lines
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Based on the diagram, answer the following questions
3 )
78°
x°
Find the value of angle x. Explain how you found your answer:
x = 
Find the value of x°
4 )
48°
2x°
x = 
Find the value of x°
5 )
86°
2x - 10
x = 
Parallel Lines - Solutions
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Corresponding Angles
Vertically Opposite Angles
Alternate Angles
71°
71°
109°
109°
109°
71°
71°
Page 4


Parallel Lines
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Based on the diagram, answer the following questions
3 )
78°
x°
Find the value of angle x. Explain how you found your answer:
x = 
Find the value of x°
4 )
48°
2x°
x = 
Find the value of x°
5 )
86°
2x - 10
x = 
Parallel Lines - Solutions
Based on the diagram, answer the following questions
1)
1 2
3 4
5 6
7 8
a) State the relationship between ?1 and ?5
b) State the relationship between ?1 and ?4
c) State the relationship between ?4 and ?5
Calculate the missing angles in the diagram:
2)
109°
a
b
c
d
e
f
g
a)
b)
c)
d)
e)
f)
g)
Corresponding Angles
Vertically Opposite Angles
Alternate Angles
71°
71°
109°
109°
109°
71°
71°
Based on the diagram, answer the following questions
3 )
78°
x°
Find the value of angle x. Explain how you found your answer:
x = 
Find the value of x°
4 )
48°
2x°
x = 
Find the value of x°
5 )
86°
2x - 10
x = 
102°
Corresponding angles are equal and angles on 
a straight line sum to 180°; 
Vertically Opposite angles are equal, co-interior sum to 180°
24°
52°
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FAQs on Visual Worksheet: Parallel Lines - Worksheets with solutions for Class 7

1. What are parallel lines?
Ans. Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended. They are always the same distance apart and have the same slope.
2. How can I identify parallel lines in a diagram?
Ans. You can identify parallel lines in a diagram by looking for lines that are equidistant from each other at all points and do not cross. In many diagrams, parallel lines may be marked with arrows pointing in the same direction.
3. What is the significance of parallel lines in geometry?
Ans. Parallel lines are significant in geometry as they help in understanding concepts related to angles, transversals, and various properties of shapes such as rectangles and parallelograms. They are essential for solving problems involving angles formed when a transversal crosses them.
4. Can two lines ever be parallel if they are not in the same plane?
Ans. No, two lines cannot be parallel if they are not in the same plane. Parallel lines must exist in the same plane and maintain a consistent distance apart without intersecting.
5. How do you find the equation of a line parallel to a given line?
Ans. To find the equation of a line parallel to a given line, you first need the slope of the original line. Then, use the same slope for the new line and apply the point-slope form of the equation of a line, or rearrange it to slope-intercept form (y = mx + b).
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