Line

IMPORTANT

Line: Overview

This Topic covers sub-topics such as Line Segments, Parallel Lines, Intersecting Lines, Line in Geometry, Real Life Examples of Parallel Lines, Real Life Examples of Intersecting Lines, Properties of Lines and, A Ray in Geometry

Important Questions on Line

EASY
IMPORTANT

In the given figure, 

How many line segments are formed with these three points?

EASY
IMPORTANT

What extends indefinitely on both sides?

EASY
IMPORTANT

What do we call the line segment extended indefinitely in both directions?

EASY
IMPORTANT

A line can be extended indefinitely on both sides.

EASY
IMPORTANT

In the following diagram three lines l,m, and n are intersected by a transversal t, where lm, and mn. Prove that the lines l, and n are parallel to each other.

EASY
IMPORTANT

Prove that “Lines which are parallel to the same line are parallel to each other”.

EASY
IMPORTANT

Two intersecting lines can intersect at only one point.

EASY
IMPORTANT

Arms of scissors represent parallel lines.

EASY
IMPORTANT

Write the real life examples of intersecting lines.

EASY
IMPORTANT

What are intersecting lines? write the examples of such line

EASY
IMPORTANT

The number of the line segments in given figure are :

.

EASY
IMPORTANT

Which of the following can be measured?

Point/Ray/line segment/line

EASY
IMPORTANT

Which geometric shape is not found in the following figure? (point/ray/line segment/line)

.


 

EASY
IMPORTANT

_____ line / lines can pass through two distinct points in a plane.

EASY
IMPORTANT

In the picture below, 4 persons are rowing a boat. Consider its view from top so that all oars lie in same plane. The red line is the line of axis along the length of the boat.

The pair of oars in the front forms an angle of 100 degrees with respect to the line of axis (One of the angles marked in the picture below). For the best throughput, all oars are aligned in parallel.

The angle marked "D" is_____ degrees.

 

 

 

MEDIUM
IMPORTANT

Shown below is John's study table. A page of the calendar rests on the pile books. Its edge AB is parallel to CD (in the picture)

Further,

(i) $ \angle CDE$ is $100$ degrees

(ii) $ \angle CBE$ is $20$ degrees

(iii) $ \angle BCD =  \angle BED$

The page will fall through by _____degrees if John clears the whole pile of books from his table.

EASY
IMPORTANT

In picture below, a commercial building is shown. This building uses cantilever architecture. The bottom part of the building is horizontal. The top arm of the cantilever is also parallel to ground. There is a bend of 120 degree in architecture as shown. Please find angle Q.

 

 

The angle Q = _____ degrees.

 

 

 

MEDIUM
IMPORTANT

A father asked his son to draw line sketches of a new house that they will start constructing next year. Please identify which of these sketches given by the son, contain only parallel and transversal lines.

 

 

EASY
IMPORTANT

In the picture below angle A is 45 degrees (Elephant’s angle with the crane arm). Find the angle B( Angle between the windshield of the car and the rope to which a dog is tied). Windshield (W) and Crane Arm (R) are parallel.

 

Angle B = _____

 

 

 

EASY
IMPORTANT

In the figure below there is a ladder standing on a wall with 45 degrees angle from the ground. The side planks of the ladder are parallel. The side planks form 90 degrees with respect to small transverse pieces that form the steps.

 

If the ladder is pulled to form an angle of 30 degree with the ground, then the angle between side planks and small transverse pieces of the ladder is _____ degrees