by Tiwari Academy
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2 Lines and Angles in Hindi and English Medium updated for academic session 2024-25. The solutions of NCERT 5.2 exercise class 7th mathematics are revised on the basis of latest textbooks issued for CBSE 2024-25 exams.
NCERT Class 7 Maths Exercise 5.2 Solution in Hindi and English Medium
| Class: 7 | Mathematics |
| Chapter: 5 | Exercise: 5.2 |
| Topic Name: | Lines and Angles |
| Content Type: | PDF and Videos Solutions |
| Academic Session: | CBSE 2024-25 |
| Medium: | English and Hindi Medium |
Class 7 Maths Chapter 5 Exercise 5.2 Solution
All the questions are based on latest NCERT Books issued for academic year 2024-25. Class 7 math exercise 5.2 contains the questions related to parallel lines like corresponding angles, alternate angles, co-interior angles and angles on the same side of transversal. The step by step solution is given in PDF and Video format free to use.
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Class 7 Maths Chapter 5 Exercise 5.2 Solution in Videos
Class 7 Maths App in Hindi Medium
Pairs of Lines
We shall now study about intersecting lines, transversal and parallel lines, angles made by a transversal with two lines.
Parallel Lines
Two lines l and m are said to be parallel if:
(i) they lie in the same plane.
(ii) they do not intersect, however for they are extended.
Transversal
A line which intersects two or more lines at distinct points is called a transversal.
Angles Formed When a Transversal Cuts Two Parallel Lines
Let two parallel lines l and m be cut by a transversal t, forming angles.
(i) Corresponding Angles:
(∠1, ∠5), (∠2, ∠6), (∠3, ∠7) and (∠4, ∠8) are called pairs of corresponding angles.
(ii) Alternate interior Angles
(∠3, ∠5) and (∠4, ∠6) are called pairs of alternate interior angles.
Class 7 Maths Exercise 5.2 Important Questions
What are the properties of lines and angles?
(i) Its vertically opposite angles are always equal.
(ii) Its corresponding angles are equal.
(iii) Its alternate exterior and interior angles are equal.
How do you prove angles in parallel lines?
If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.
What is a transversal line?
A transversal line is a line that passes through two parallel lines.
What is the difference between parallel lines and Transversals?
When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles. When the lines are parallel, the corresponding angles are congruent.
(iii) Alternate Exterior Angles
(∠2, ∠8) and (∠1, ∠7) are called pairs of alternate exterior angles.
(iv) Consecutive Interior Angles
(∠3, ∠6) and (∠4, ∠5) are called pairs of consecutive interior or simply co-interior angles.
Corresponding Angles
A pair of angles in which one arm of each angle of a pair is on the same side of the transversal and the other arms of the angles of the pair are directed in the same direction are known as corresponding angles.
Angles Formed by a Transversal with Two Lines
Let l and m be two lines and n be a transversal intersecting l and m at P and Q respectively. Clearly, lines l, m and n make eight angles.
Interior Angles: The angles whose arms include lie segment PQ are called interior angles.
Exterior Angles: The angles whose arms do not include the line segment PQ are called.
Alternate Interior Angles
A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm is segment PQ is called a pair of alternate interior angles.
Alternate Exterior Angles
A pair of angles in which one arm of each of the angles is on the opposite sides of the transversal and the other arm in opposite direction and do not include line segment PQ is called a pair of alternate exterior angles.
What are the main objectives of exercise 5.2 of grade 7th Maths?
The main objectives of exercise 5.2 of grade 7th Maths are to make the following things clear to the students:
1. Pairs of Lines
2. Intersecting Lines
3. Point of intersection.
4. Transversal
5. Angles made by a Transversal (Interior angles, Exterior angles, Pairs of Corresponding angles, Pairs of Alternate interior angles, Pairs of Alternate exterior angles, Pairs of interior angles on the same side of the transversal).
6. Transversal of Parallel Lines
7. Checking for Parallel Lines
What are the main points of exercise 5.2 of grade 7th Maths that students must remember at the time of the exam?
The main points of exercise 5.2 of grade 7th Maths that students must remember at the time of exam are:
1. If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.
2. If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal.
3. If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary.
4. When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
5. When a transversal cuts two lines, such that pairs of alternate interior angles are equal, the lines have to be parallel.
6. When a transversal cuts two lines, such that pairs of interior angles on the same side of the transversal are supplementary, the lines have to be parallel.
How much time, students require to finish exercise 5.2 of grade 7th Maths?
Students require a maximum of 2 days to finish exercise 5.2 of grade 7th Maths if they give 1 hour per day to this exercise. This time can vary because this time depends on many factors like student’s efficiency, working speed, ability, etc.
Which questions of exercise 5.2 of class 7th Maths teachers can give in the school test?
Exercise 5.2 of class 7th Maths has 6 questions and no examples. Question 6 has 4 parts. Questions of exercise 5.2 of class 7th Maths that teachers can give in the school test are questions 3, 5, and 6 (i). These questions are very important for the purpose of the exam.
