Olympiad Test: Basic Geometrical Ideas - Class 6 MCQ

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

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

As ray originates from a point it move farther and have no end . so option (c) is correct

2. Capital letters of alphabet

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.

 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.

To construct a line segment, the most appropriate instruments are those that allow for accurate measurement and drawing of straight lines. Among the given options, the most suitable choice is:

1. **Compasses and a scale**: This combination allows you to measure a specific length using the scale and then draw the line segment with the compasses by marking the endpoints.

So, the correct answer is:

1. Compasses and a scale.