NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2
NCERT Solutions for Class 7 Maths Chapter 5 Exercise 5.2 (Ex. 5.2) Lines and Angles in Hindi and English Medium updated for academic session 2020-2021. All the questions are based on latest NCERT Books issued for academic year 2020-21.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.
Class 7 Maths Chapter 5 Exercise 5.2 Solution
|Chapter: 5||Lines and Angles|
|Exercise: 5.2||PDF and Videos Solution|
CBSE NCERT Class 7 Maths Chapter 5 Exercise 5.2 Solution in Hindi and English Medium
Class 7 Maths Chapter 5 Exercise 5.2 Solution in Videos
Pairs of Lines
We shall now study about intersecting lines, transversal and parallel lines, angles made by a transversal with two 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.
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 as shown. We have:
(i) Corresponding Angles
(∠1, ∠5), (∠2, ∠6), (∠3, ∠7) and (∠4, ∠8) are called pairs of corresponding angles.
(ii) Alternate lnterior Angles
(∠3, ∠5) and (∠4, ∠6) are called pairs of alternate interior angles.
(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.
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.
The angles whose arms include lie segment PQ are called interior 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 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.