Preparing for exams becomes much easier when you revise each chapter through practice questions. These Class 7 Maths Chapter 5 Parallel and Intersecting Lines MCQs are designed to help students strengthen their understanding of important geometry concepts while checking their preparation in a quick and engaging way. Each question follows the latest CBSE Board syllabus and includes the correct answer with a simple explanation to make learning more effective.
If you are looking for more chapter-wise practice, you can also explore our Class 7 MCQs collection, where every chapter is covered with exam-oriented multiple-choice questions. Students who want to practise topics from different subjects can visit our complete MCQs section, while those focusing only on Mathematics can browse our Class 7 Maths MCQs for additional chapter-wise revision.
Whether you are preparing for a class test, unit test, or annual examination, solving these MCQs will help you revise key concepts, improve accuracy, and build confidence. Read each question carefully, understand the explanation, and use your mistakes as an opportunity to strengthen your concepts before the exam.
Class 7 Maths Chapter 5 Parallel and Intersecting Lines MCQs with Answers and Explanations
Practise these Class 7 Maths Chapter 5 Parallel and Intersecting Lines MCQs with Answers to strengthen your understanding of important geometry concepts from the latest CBSE syllabus. This collection of 30 carefully prepared multiple-choice questions covers parallel lines, intersecting lines, transversals, and different angle relationships. Each MCQ includes the correct answer and a simple explanation to help you revise concepts, improve accuracy, and prepare confidently for class tests and annual examinations.
Q. Which of the following best describes parallel lines?
A. Lines that meet at one point
B. Lines that never meet, even when extended
C. Lines that form a right angle
D. Lines that overlap completely
Answer:B
Explanation:
Parallel lines always remain the same distance apart and never intersect, no matter how far they are extended. This is one of the most important concepts in geometry. Recognising parallel lines helps students identify angle relationships formed when a transversal cuts across them.
Q. What is the common point where two intersecting lines meet called?
A. Endpoint
B. Midpoint
C. Vertex or point of intersection
D. Diameter
Answer:C
Explanation:
When two lines cross each other, they meet at a single point known as the point of intersection or vertex. This point is where different angle pairs, such as vertically opposite and adjacent angles, are formed. Understanding this idea is essential for solving geometry questions correctly.
Q. A line that cuts across two or more lines at different points is known as a:
A. Ray
B. Line segment
C. Transversal
D. Perpendicular bisector
Answer:C
Explanation:
A transversal is a line that intersects two or more lines. When it cuts parallel lines, several special angle pairs are created, including corresponding, alternate interior, and co-interior angles. Identifying the transversal is often the first step in solving angle-based problems.
Q. If two parallel lines are cut by a transversal, the corresponding angles are:
A. Always equal
B. Always supplementary
C. Always right angles
D. Always unequal
Answer:A
Explanation:
Corresponding angles lie in matching positions where the transversal crosses the two parallel lines. Since the lines are parallel, these angles are equal. This property is frequently used to find unknown angles without measuring them directly.
Q. Which pair of angles are always equal when two lines intersect?
A. Adjacent angles
B. Co-interior angles
C. Vertically opposite angles
D. Linear pair angles
Answer:C
Explanation:
Observe any two intersecting lines, and you will notice that the angles directly opposite each other have the same measure. These are called vertically opposite angles. This rule applies to every pair of intersecting lines, whether or not the angles are right angles.
Q. Which statement is true about co-interior angles formed by a transversal on parallel lines?
A. They are always equal.
B. Their sum is 180°.
C. They always measure 90°.
D. They are vertically opposite angles.
Answer:B
Explanation:
Co-interior angles are located on the same side of the transversal and inside the two parallel lines. Instead of being equal, their measures add up to 180°. Remembering this property helps students solve many missing-angle questions quickly.
Q. If one corresponding angle measures 65°, what is the measure of its corresponding angle?
A. 25°
B. 65°
C. 115°
D. 90°
Answer:B
Explanation:
Think about the property of corresponding angles. When a transversal intersects parallel lines, corresponding angles are always equal. Therefore, if one angle measures 65°, its corresponding angle must also measure 65°. No additional calculation is needed in this case.
Q. Which of the following figures shows intersecting lines?
A. Railway tracks that never meet
B. Two roads crossing each other
C. Two horizontal notebook lines
D. Opposite edges of a ruler
Answer:B
Explanation:
Real-life examples make geometry easier to understand. Two roads crossing at a junction form intersecting lines because they meet at one point. In contrast, railway tracks and notebook lines are good examples of parallel lines as they do not intersect.
Q. Which angle pair shares a common vertex and one common arm?
A. Corresponding angles
B. Alternate interior angles
C. Adjacent angles
D. Vertically opposite angles
Answer:C
Explanation:
Adjacent angles are placed next to each other. They share the same vertex and one common arm, but their interiors do not overlap. Identifying adjacent angles correctly helps students avoid confusing them with vertically opposite or corresponding angles.
Q. Why is it important to identify whether lines are parallel before solving angle questions?
A. Because all angles become right angles
B. Because the properties of corresponding and alternate angles depend on parallel lines
C. Because intersecting lines disappear
D. Because every angle becomes equal automatically
Answer:B
Explanation:
Many angle properties in geometry apply only when the given lines are parallel. Before using rules related to corresponding, alternate interior, or co-interior angles, always check whether the lines are parallel. This simple observation helps prevent common mistakes in examinations.
Q. If two lines never intersect, even when extended on both sides, they are called:
A. Intersecting lines
B. Parallel lines
C. Perpendicular lines
D. Concurrent lines
Answer:B
Explanation:
The defining feature of parallel lines is that they remain the same distance apart and never meet, no matter how far they are extended. This property makes them different from intersecting or perpendicular lines. Understanding this basic idea is essential before learning angle relationships formed by a transversal.
Q. Which angle pair is formed on opposite sides of a transversal and inside two parallel lines?
A. Corresponding angles
B. Adjacent angles
C. Alternate interior angles
D. Linear pair
Answer:C
Explanation:
Alternate interior angles are found between the two parallel lines and on opposite sides of the transversal. When the lines are parallel, these angles are always equal. Learning their position in a diagram makes it easier to identify them during exams.
Q. Two intersecting lines form how many angles?
A. One
B. Two
C. Three
D. Four
Answer:D
Explanation:
Whenever two lines intersect, they divide the space around the point of intersection into four angles. Among these, opposite angles are equal, while adjacent angles together form a straight angle. Observing the complete figure helps in solving angle-based questions correctly.
Q. Which statement about alternate exterior angles is correct?
A. They are always supplementary.
B. They are always equal when the lines are parallel.
C. They always measure 90°.
D. They share a common arm.
Answer:B
Explanation:
Alternate exterior angles are located outside the two parallel lines and on opposite sides of the transversal. When the lines are parallel, these angles have equal measures. This property is widely used to determine unknown angles without direct measurement.
Q. If one angle in a pair of vertically opposite angles measures 120°, the opposite angle is:
A. 60°
B. 90°
C. 120°
D. 180°
Answer:C
Explanation:
Vertically opposite angles are always equal because they are formed by the same two intersecting lines. Therefore, if one angle measures 120°, the angle directly opposite it also measures 120°. This rule applies regardless of the size of the angle.
Q. Which of the following is an example of parallel lines in daily life?
A. Hands of a clock at 3 o'clock
B. Scissors while cutting paper
C. Opposite edges of a notebook
D. Two crossing wires
Answer:C
Explanation:
Looking at everyday objects helps connect geometry with real life. The opposite edges of a notebook stay the same distance apart and never meet, making them a good example of parallel lines. Crossing wires and scissors represent intersecting lines instead.
Q. A transversal intersects two parallel lines. If one corresponding angle is 95°, what is the measure of the other corresponding angle?
A. 85°
B. 95°
C. 180°
D. 45°
Answer:B
Explanation:
Corresponding angles occupy matching positions where the transversal crosses the two parallel lines. Since these angles are equal, the second corresponding angle must also measure 95°. This property is one of the most frequently used rules in geometry problems.
Q. Which pair of angles always adds up to 180° when formed inside two parallel lines on the same side of a transversal?
A. Alternate interior angles
B. Corresponding angles
C. Co-interior angles
D. Vertically opposite angles
Answer:C
Explanation:
Co-interior angles lie between the two parallel lines on the same side of the transversal. Instead of being equal, their sum is always 180°. Remembering this relationship helps students solve many missing-angle questions quickly and accurately.
Q. What is the main purpose of a transversal in geometry?
A. It creates circles.
B. It divides a line into equal parts.
C. It intersects two or more lines and forms different angle pairs.
D. It measures the length of a line.
Answer:C
Explanation:
A transversal is important because it cuts across two or more lines, creating several angle pairs such as corresponding, alternate interior, alternate exterior, and co-interior angles. Recognising the transversal first often makes solving geometry questions much simpler.
Q. Which statement is correct about adjacent angles?
A. They are always equal.
B. They lie opposite each other.
C. They share a common vertex and one common arm.
D. Their sum is always 180°.
Answer:C
Explanation:
Adjacent angles are placed next to each other and share both a common vertex and one common arm. Their measures may or may not be equal, depending on the figure. Carefully observing their position helps students distinguish them from vertically opposite angles.
Q. Which of the following angle pairs are equal when a transversal cuts two parallel lines?
A. Co-interior angles
B. Corresponding angles
C. Adjacent angles
D. Linear pair angles
Answer:B
Explanation:
When two parallel lines are intersected by a transversal, corresponding angles occupy the same relative position at each intersection. Because the lines are parallel, these angles are always equal. This property is commonly used to determine unknown angles in geometry problems.
Q. Which figure represents intersecting lines?
A. Two railway tracks running side by side
B. Two opposite sides of a rectangle
C. Two lines crossing at one point
D. Two horizontal ruled lines in a notebook
Answer:C
Explanation:
Intersecting lines meet at exactly one point and form four angles around that point. Everyday examples include two roads crossing or the blades of an open pair of scissors. Identifying intersecting lines correctly helps students recognise different angle pairs.
Q. If one angle of a linear pair measures 70°, the other angle measures:
A. 70°
B. 110°
C. 90°
D. 180°
Answer:B
Explanation:
A linear pair consists of two adjacent angles that together form a straight line. Since the sum of angles on a straight line is 180°, subtracting 70° from 180° gives 110°. This simple angle property appears frequently in school examinations.
Q. Which statement is true for vertically opposite angles?
A. They are always supplementary.
B. They are formed only by parallel lines.
C. They are equal in measure.
D. They share one common arm.
Answer:C
Explanation:
When two lines intersect, the angles opposite each other are called vertically opposite angles. These angles are always equal because they are formed by the same pair of intersecting lines. This rule remains true regardless of the size of the angles.
Q. Why should you identify the transversal before solving an angle question?
A. It helps locate important angle pairs.
B. It changes the length of the lines.
C. It converts intersecting lines into parallel lines.
D. It measures the angles automatically.
Answer:A
Explanation:
A transversal creates angle pairs such as corresponding, alternate interior, alternate exterior, and co-interior angles. Once you identify the transversal, it becomes much easier to apply the correct geometry property and avoid confusion while solving the question.
Q. Which of the following is not a special angle pair formed by a transversal?
A. Corresponding angles
B. Alternate interior angles
C. Co-interior angles
D. Complementary angles
Answer:D
Explanation:
Corresponding, alternate interior, alternate exterior, and co-interior angles are directly formed when a transversal intersects two lines. Complementary angles simply add up to 90° and are not a special angle pair related to a transversal in this chapter.
Q. If alternate interior angles are equal, what can you conclude about the two lines?
A. They are intersecting lines.
B. They are parallel lines.
C. They are perpendicular lines.
D. They are overlapping lines.
Answer:B
Explanation:
Geometry works both ways. Not only do parallel lines create equal alternate interior angles, but if alternate interior angles are found to be equal, we can conclude that the two lines are parallel. This idea is useful in many reasoning and proof-based questions.
Q. Which property is helpful for finding an unknown angle without using a protractor?
A. Colour of the figure
B. Length of the lines only
C. Angle relationships between parallel and intersecting lines
D. Thickness of the lines
Answer:C
Explanation:
Most geometry questions rely on angle properties rather than measurement. By using relationships such as corresponding angles, vertically opposite angles, alternate angles, and co-interior angles, students can calculate unknown angles accurately without measuring them directly.
Q. What happens when two parallel lines are extended indefinitely?
A. They eventually intersect.
B. They become perpendicular.
C. They remain the same distance apart and never meet.
D. They merge into one line.
Answer:C
Explanation:
The distance between parallel lines remains constant throughout their length. Even if they are extended infinitely in both directions, they never intersect. This unique characteristic distinguishes parallel lines from every other type of line in geometry.
Q. If two parallel lines are cut by a transversal and one corresponding angle measures 108°, what is the measure of the other corresponding angle?
A. 72°
B. 108°
C. 90°
D. 180°
Answer:B
Explanation:
Corresponding angles are formed in the same relative position when a transversal intersects two parallel lines. One of the key properties of parallel lines is that corresponding angles are always equal. Therefore, if one corresponding angle measures 108°, the other corresponding angle also measures 108°. This concept is frequently tested in CBSE Class 7 Maths examinations.
Topics Covered in These MCQs
The following concepts from Class 7 Maths Chapter 5 Parallel and Intersecting Lines are included in the practice questions.
| Topic | What You Will Learn |
|---|---|
| Parallel Lines | Understand lines that never meet even when extended. |
| Intersecting Lines | Learn how two lines meet at a common point. |
| Transversal | Identify a line that cuts across two or more lines. |
| Corresponding Angles | Recognise corresponding angle pairs formed by a transversal. |
| Alternate Interior Angles | Understand when these angles are equal. |
| Alternate Exterior Angles | Learn to identify alternate exterior angle pairs. |
| Co-interior Angles | Solve questions involving interior angles on the same side of a transversal. |
| Vertically Opposite Angles | Use the property of equal opposite angles formed by intersecting lines. |
| Adjacent Angles | Understand angles that share a common vertex and arm. |
| Angle Relationships | Apply different angle properties to solve geometry questions. |
Quick Tips to Solve Parallel and Intersecting Lines MCQs
Geometry questions become much easier when you follow a clear approach. These simple tips can help you answer MCQs more accurately.
- Read the diagram carefully before choosing an answer.
- Identify whether the lines are parallel or intersecting.
- Find the transversal first if one is present.
- Look for corresponding, alternate, or co-interior angle pairs.
- Remember that vertically opposite angles are always equal.
- Use known angle properties before performing calculations.
- Eliminate incorrect options one by one if you are unsure.
- Do not rush. A careful observation often leads to the correct answer.
