Parallel Lines and Transversals Maths - Parallel Lines and Transversals

As shown in the figure (A), draw two parallel lines and their transversal on a paper. Draw a copy of the figure on another blank sheet using a trace paper, as shown in the figure (B). Colour part Land part II with different colours. Cut out the two parts with a pair of scissors. Place, part I and part II on each angle in the figure A and answer the following questions. (Textbook pg. no. 9)

1. Which angles coincide with part I ?
2. Which angles coincide with part II ?
   
   

Observe the angles shown in the figure and write the following pair of angles.

1. Interior alternate angles
2. Corresponding angles
3. Interior angles

In the given figure, each angle is shown by a letter. Fill in the boxes with the help of the figure

Corresponding angles:
i. ∠p and __
ii. ∠q and __
iii. ∠r and __
iv. ∠s and __

Interior alternate angles:
v. ∠s and __
vi. ∠w and __

Draw a line m. Draw a line n which is parallel to line m at a distance of 4 cm from it.

Draw a line l. Take a point T outside the line. Through point T draw a line parallel to line l.

Draw a line l. Take a point A outside the line. Through point A draw a line parallel to line l.

When two parallel lines are intersected by a transversal eight angles are formed. If the measure of one of these eight angles is given, can we find measures of remaining seven angles ?

In the given figure, line p || line l || line q. Find ∠x with the help of the measures given in the figure.

In the given figure, if line a || line b and line l is a transversal, then find x.

In the given figure, if line m || line n and line p is a transversal, then find x.