
What does the following symbol \[ \bot \] mean?
A. Parallel
B. Perpendicular
C. Congruent
D. Similar
Answer
561.9k+ views
Hint: Here we will use the concept of basic mathematical symbols. There are many mathematical Greek symbols. We must check all the four given options and check which among the options has \[ \bot \] as its symbol.
Complete step-by-step answer:
Parallel Symbol: It is used to represent the relationship between two lines. For example if we are given two lines \[{{\text{l}}_1}\] and \[{{\text{l}}_2}\], along with the condition \[{{\text{l}}_1}\parallel {{\text{l}}_2}\] then this condition represents that both these lines are parallel to each other and will never intersect.
Congruence Symbol: In the previous definition we understood the significance of parallel symbols for lines. Now, we will discuss the symbol which establishes the relationship between two triangles.
The Congruence symbol is \[ \cong \]. For, example let \[\Delta \]ABC and \[\Delta \]DEF are congruent then to write this mathematically we will use the congruence symbol i.e. \[\Delta {\text{ABC}} \cong \Delta {\text{DEF}}\].
Similarity Symbol: Another relationship between two triangles apart from congruence is similarity. For example if \[\Delta \]ABC and\[\Delta \]DEF are similar then this can be written mathematically as, \[{\text{ABC}} \simeq {\text{DEF}}\].
Perpendicular Symbol: Relationship between lines is represented using perpendicularity symbol\[ \bot \]. Perpendicular lines are the lines which make a right angle when they intersect on some plane. The product of the slopes of these lines is equal to\[ - 1\]. For example, let \[{{\text{P}}_1}\]and\[{{\text{P}}_2}\]be two line which are perpendicular to each other i.e. \[{{\text{P}}_1} \bot {{\text{P}}_2}\] . We will get more better understanding of perpendicular lines with help of the graph given below, the graph given below is x-y,
Hence, option B is the correct option
Note: Two lines are said to be perpendicular when the angle between them is $90^\circ$. Two lines are said to be parallel when there is no point of intersection between the two lines.
Complete step-by-step answer:
Parallel Symbol: It is used to represent the relationship between two lines. For example if we are given two lines \[{{\text{l}}_1}\] and \[{{\text{l}}_2}\], along with the condition \[{{\text{l}}_1}\parallel {{\text{l}}_2}\] then this condition represents that both these lines are parallel to each other and will never intersect.
Congruence Symbol: In the previous definition we understood the significance of parallel symbols for lines. Now, we will discuss the symbol which establishes the relationship between two triangles.
The Congruence symbol is \[ \cong \]. For, example let \[\Delta \]ABC and \[\Delta \]DEF are congruent then to write this mathematically we will use the congruence symbol i.e. \[\Delta {\text{ABC}} \cong \Delta {\text{DEF}}\].
Similarity Symbol: Another relationship between two triangles apart from congruence is similarity. For example if \[\Delta \]ABC and\[\Delta \]DEF are similar then this can be written mathematically as, \[{\text{ABC}} \simeq {\text{DEF}}\].
Perpendicular Symbol: Relationship between lines is represented using perpendicularity symbol\[ \bot \]. Perpendicular lines are the lines which make a right angle when they intersect on some plane. The product of the slopes of these lines is equal to\[ - 1\]. For example, let \[{{\text{P}}_1}\]and\[{{\text{P}}_2}\]be two line which are perpendicular to each other i.e. \[{{\text{P}}_1} \bot {{\text{P}}_2}\] . We will get more better understanding of perpendicular lines with help of the graph given below, the graph given below is x-y,
Hence, option B is the correct option
Note: Two lines are said to be perpendicular when the angle between them is $90^\circ$. Two lines are said to be parallel when there is no point of intersection between the two lines.
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