
Define the following term:
i) Congruent lines
Answer
482.7k+ views
Hint: Here we have to define the congruent lines. So first we know the definition of a line and then the definition of the congruent. Then we will get an ideology of the concept. Then we know the definition of the congruent lines. The pictorial representation will be more appropriate.
Complete step by step answer:
A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane.
In geometry, there are different types of lines such as horizontal and vertical lines, parallel and perpendicular lines. These lines play an important role in the construction of different types of polygons.
This defines the line.
Now we know the definition of congruent.
Congruent: In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
So now we know the congruent lines.
If the lines are of same length, then it is congruent lines. However, they need not be parallel. They can be at any angle or orientation on the plane.
The congruence is denoted by \[ \cong \]
We consider the two lines as an example of congruent lines.
Here both AB and PQ are the lines and they are of the same length. Therefore the line AB and line PQ are congruent lines.
It is represented as \[AB \cong PQ\]
Note:
The pictorial explanation is better than the theoretical explanation. There is a lot of difference between the congruent and similar. If it is a similar means it will irrespective of size. Likewise if it is congruent it means it will be of size.
Complete step by step answer:
A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane.
In geometry, there are different types of lines such as horizontal and vertical lines, parallel and perpendicular lines. These lines play an important role in the construction of different types of polygons.
This defines the line.
Now we know the definition of congruent.
Congruent: In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
So now we know the congruent lines.
If the lines are of same length, then it is congruent lines. However, they need not be parallel. They can be at any angle or orientation on the plane.
The congruence is denoted by \[ \cong \]
We consider the two lines as an example of congruent lines.
Here both AB and PQ are the lines and they are of the same length. Therefore the line AB and line PQ are congruent lines.
It is represented as \[AB \cong PQ\]
Note:
The pictorial explanation is better than the theoretical explanation. There is a lot of difference between the congruent and similar. If it is a similar means it will irrespective of size. Likewise if it is congruent it means it will be of size.
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