The DAV Maths Book Class 6 Solutions and DAV Class 6 Maths Chapter 11 Worksheet 1 Solutions of Transversal and Pairs of Lines offer comprehensive answers to textbook questions.
DAV Class 6 Maths Ch 11 WS 1 Solutions
Question 1.
Tick (✓) the figures in which the line ‘t’ is a transveral to the other given lines.
Answer:
(c) ✓
(f) ✓
DAV Class 6 Maths Chapter 11 Worksheet 1 Notes
A line which intersects any two or more lines is called ‘transversal line’.
In the given figure, line n intersects the lines l and m respectively at A and B.
n is the transversal line.
Angles made by a Transversal with two or more Lines
- When a transversal line intersects any two lines at different points, it makes 8 angles with the lines. Here transversal line p intersects the two lines Z and m at A and B respectively.
- It makes the following angles with l and m ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8.
- Interior angles: ∠3, ∠4, ∠5 and ∠8 are interior angles.
- Exterior angles: ∠1, ∠2, ∠6 and ∠7 are exterior angles.
- Corresponding angles: ∠2 and ∠5, ∠3 and ∠6, ∠1 and ∠8, ∠4 and ∠7 are corresponding angles.
- Alternate interior angles: ∠3 and ∠8, ∠4 and ∠5 are alternate interior angles.
Alternate exterior angles: ∠1 and ∠6, ∠2 and ∠7 are alternate exterior angles.
If a transversal intersects two parallel lines at different points then:
- Pair of alternate angles are equal.
- Vertically opposite angles are equal.
- Corresponding angles are equal.
- Sum of interior angles on either side of the transversal is 180°.