MATHEMATICS - PARALLEL LINES AND TRANSVERSALS

Parallel Lines And Transversals Worksheet

10 questions
Recognise the properties of angles on: parallel lines and transversals perpendicular lines intersecting lines.
Difficulty: Medium
Board: CAIE
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Q1.
Parallel lines $p$ and $q$ are cut by a transversal. An angle at the intersection with $p$ is $64^\circ$ . What is the size of the corresponding angle at the intersection with $q$ ?

A) $126^\circ$
B) $116^\circ$
C) $180^\circ$
D) $64^\circ$

Q2.
A transversal crosses two parallel lines. One interior angle is $127^\circ$ . What is the size of its alternate interior angle?

A) $143^\circ$
B) $127^\circ$
C) $63^\circ$
D) $53^\circ$

Q3.
Two parallel lines are crossed by a transversal. A pair of interior angles on the same side of the transversal consists of an angle of $103^\circ$ and an unknown angle. What is the unknown angle?

A) $103^\circ$
B) $67^\circ$
C) $77^\circ$
D) $87^\circ$

Q4.
Two straight lines intersect. One of the angles at the intersection is $46^\circ$ . What is the size of the angle vertically opposite to it?

A) $136^\circ$
B) $44^\circ$
C) $134^\circ$
D) $46^\circ$

Q5.
Two lines intersect. One angle is $139^\circ$ . An adjacent angle and this angle form a straight line. What is the size of the adjacent angle?

A) $139^\circ$
B) $49^\circ$
C) $31^\circ$
D) $41^\circ$

Q6.
Line $AB$ is perpendicular to line $CD$ at $O$ . What is the size of $\angle AOC$ ?

A) $120^\circ$
B) $180^\circ$
C) $45^\circ$
D) $90^\circ$

Q7.
A transversal crosses lines $r$ and $s$ . A pair of alternate interior angles are both $68^\circ$ . Which conclusion is supported by this information?

A) Lines $r$ and $s$ are perpendicular.
B) Lines $r$ and $s$ are parallel.
C) Lines $r$ and $s$ intersect at $68^\circ$ .
D) No conclusion can be made about lines $r$ and $s$ .

Q8.
The diagram shows two parallel lines crossed by a transversal. What is the value of $x$ ?

Diagram for question 8: The diagram shows two parallel lines crossed by a transversal. What is the value of x?

A) $128^\circ$
B) $118^\circ$
C) $62^\circ$
D) $72^\circ$

Q9.
In the diagram, the horizontal and vertical lines are perpendicular. What is the size of $\angle EOB$ ?

Diagram for question 9: In the diagram, the horizontal and vertical lines are perpendicular. What is the size of ∠ EOB?

A) $34^\circ$
B) $46^\circ$
C) $146^\circ$
D) $56^\circ$

Q10.
The diagram shows parallel lines cut by a transversal. Find the value of $x$ .

Diagram for question 10: The diagram shows parallel lines cut by a transversal. Find the value of x.

A) $22$
B) $20$
C) $18$
D) $60$

What this assessment covers

Concepts Tested

parallel lines and transversals
Recognise the properties of angles on: parallel lines and transversals perpendicular lines intersecting lines.

Question Mix

Medium questions included

Skills you build

Understand

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Assessment details

Total questions:: 10
Subject:: Mathematics
Topic:: Parallel Lines And Transversals
Difficulty:: Medium
Grade:: Grade 6
Board:: CAIE
Marks:: 10.00

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Q1. Parallel lines p and q are cut by a transversal. An angle at the intersection with p is 64^(\)circ. What is the size of the corresponding angle at the intersection with q?

Q2. A transversal crosses two parallel lines. One interior angle is 127^(\)circ. What is the size of its alternate interior angle?

Q3. Two parallel lines are crossed by a transversal. A pair of interior angles on the same side of the transversal consists of an angle of 103^(\)circ and an unknown angle. What is the unknown angle?

Q4. Two straight lines intersect. One of the angles at the intersection is 46^(\)circ. What is the size of the angle vertically opposite to it?

Q5. Two lines intersect. One angle is 139^(\)circ. An adjacent angle and this angle form a straight line. What is the size of the adjacent angle?

Q6. Line AB is perpendicular to line CD at O. What is the size of ∠ AOC?

Q7. A transversal crosses lines r and s. A pair of alternate interior angles are both 68^(\)circ. Which conclusion is supported by this information?

Q8. The diagram shows two parallel lines crossed by a transversal. What is the value of x?

Q9. In the diagram, the horizontal and vertical lines are perpendicular. What is the size of ∠ EOB?

Q10. The diagram shows parallel lines cut by a transversal. Find the value of x.