Answer
Verified
480.6k+ views
Hint: Two geometric figures are said to be congruent if one can be transformed into the other by an isometry. So take two lines$AB$and$PQ$, and keep the length the same. You will get the statement.
Congruent segments are simply lined segments that are equal in length. Congruent means equal.
We indicate a line segment by drawing a line over its two endpoints.
Another way to show that segments are congruent is to have a squiggly line over an equal sign.
Two geometric figures are said to be congruent if one can be transformed into the other by an isometry.
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. Note they are laying at different angles. If you drag any of the four endpoints, the other segment will change the length to remain congruent with the one you are changing.
So let us take a segment$AB$and$PQ$.
For line segments, 'congruent' is similar to saying 'equals'. You could say "the length of the line $AB$equals the length of the line $PQ$". But in geometry, the correct way to say it is "line segments $AB$ and $PQ$ are congruent" or, "$AB$ is congruent to$PQ$".
Rays and lines cannot be congruent because they do not have both endpoints defined, and so we have no definite length.
So we get the final solution as two lines are congruent if they have the same length.
Note: Another way to show that segments are congruent is to have a squiggly line over an equal sign. The symbol for congruence is $\cong $.
Also, recall that the symbol for a line segment is a bar over two letters, so the statement$AB\cong PQ$is read as "The line segment $AB$ is congruent to the line segment $PQ$".
Congruent segments are simply lined segments that are equal in length. Congruent means equal.
We indicate a line segment by drawing a line over its two endpoints.
Another way to show that segments are congruent is to have a squiggly line over an equal sign.
Two geometric figures are said to be congruent if one can be transformed into the other by an isometry.
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. Note they are laying at different angles. If you drag any of the four endpoints, the other segment will change the length to remain congruent with the one you are changing.
So let us take a segment$AB$and$PQ$.
For line segments, 'congruent' is similar to saying 'equals'. You could say "the length of the line $AB$equals the length of the line $PQ$". But in geometry, the correct way to say it is "line segments $AB$ and $PQ$ are congruent" or, "$AB$ is congruent to$PQ$".
Rays and lines cannot be congruent because they do not have both endpoints defined, and so we have no definite length.
So we get the final solution as two lines are congruent if they have the same length.
Note: Another way to show that segments are congruent is to have a squiggly line over an equal sign. The symbol for congruence is $\cong $.
Also, recall that the symbol for a line segment is a bar over two letters, so the statement$AB\cong PQ$is read as "The line segment $AB$ is congruent to the line segment $PQ$".
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
10 examples of friction in our daily life
One cusec is equal to how many liters class 8 maths CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What is the type of food and mode of feeding of the class 11 biology CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
10 examples of friction in our daily life
What organs are located on the left side of your body class 11 biology CBSE
10 examples of diffusion in everyday life
Can anyone list 10 advantages and disadvantages of friction
10 examples of law on inertia in our daily life
Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE