Olympiad Test: Basic Geometrical Ideas - Class 6 MCQ

 Point is used to tell exact location in space. It does not have any length, width, or height. In other words, it has no size

A set of points that extends infinitely in both directions is called a line. Unlike a line segment, a line has no endpoints and continues indefinitely.

The set of points that is a part of a line with two endpoints is called a line segment. A line segment has a definite length and is defined by its two endpoints.

The symbol of a line is ↔.
Hence, a line PQ is symbolically written as 

Hence, a line PQ is symbolically written as _.

As a ray originates from a point, it moves farther and has no end. So option (c) is correct

Explanation: In geometry, points are typically represented using capital letters of the alphabet. For example, a point can be labeled as A, B, or C, etc.

Correct option is A.
The number of end points a line has is none, as it extends indefinitely on both sides. or
A line has no end point. It extends infinitely in opposite directions.

Sets of points extending infinitely in all direction on the same flat surface is a plane.

Infinite lines can be drawn passing through a given point.

 Only one line can be drawn passing through two given points. 

The points P, Q, R, S, T ... lying on line ℓ are said to be collinear.
NOTE: Infinite number of points lying on same line are considered as collinear.

If the lines p, q, r and s are said to be concurrent they pass through the same point.  

Many lines are intersecting at one point.
Point of concurrence: A point where more than two line intersects. 

Concurrent lines are three or more lines meeting at a point. Intersecting lines are two lines that meet at a common point. The point at which these three lines meet each other is called as the point of concurrency. The point at which these two lines meet each other is called as the point of intersection

In the given figure:
- Points P, O, and Q are called non-collinear points.

Explanation:
- Non-collinear points are points that do not lie on the same straight line.
- In the figure provided, points P, O, and Q do not lie on a single line; hence, they are non-collinear.

This distinction is crucial in geometry as collinearity determines whether points lie on the same line or not.

The problem asks you to fill in the blank for the equation AC=AD− _______ given the points A, B, C, and D on a line.

The equation you’re dealing with is essentially asking how to express the length of segment AC in terms of AD and another segment.

Looking at the diagram, AD is the entire length from point A to point D, and AC is the length from A to C.

The difference between AD and AC would be the length of segment CD (the part of AD that extends beyond C to D).

Therefore, the correct answer is:

3. DC

A divider is used to compare line segments.

A protractor is used to measure angles, not to construct a line segment. The other instruments—divider, compass, and scale—are used in the construction of line segments.