How many of the given letters have perpendicular lines?
M A T H S
Answer
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Hint: We can check through all the given letters. Then we can identify the perpendicular lines in each of the letters. Then we can count the letters having perpendicular lines to get the required answer.
Complete step-by-step answer:
We know that perpendicular lines are the lines that intersect at right angles. So we can check which of the given letters will have perpendicular lines.
The first letter is M. It is made of 4 lines intersecting at 3 points. We can see that none of the angles are right angles. So M don’t have any perpendicular lines.
The next letter is A. It has 3 lines intersecting at 3 points and no lines are perpendicular. So don't have any perpendicular lines.
Let us consider T. It has 2 lines which meet at one point. From the letter we can say that the 2 lines are perpendicular. So T has perpendicular lines.
Now we have H. It has 2 parallel lines intersected by a line. From the figure we can say that the intersected line is perpendicular to the parallel lines. So H also has perpendicular lines.
The last letter is S. It doesn’t have a straight line or any intersection. So it doesn’t have any perpendicular lines.
So only the letters T and H have perpendicular lines.
So only 2 of the given letters have perpendicular lines.
Note: Two lines are said to be perpendicular only if they intersect at right angles. When 2 lines intersect 4 angles are formed. If the two lines are perpendicular all the 4 angles formed will be right angles. The angles of the lines of letters may change according to the font or the person’s handwriting. We are only considering the letters in the standard forms only.
Complete step-by-step answer:
We know that perpendicular lines are the lines that intersect at right angles. So we can check which of the given letters will have perpendicular lines.
The first letter is M. It is made of 4 lines intersecting at 3 points. We can see that none of the angles are right angles. So M don’t have any perpendicular lines.
The next letter is A. It has 3 lines intersecting at 3 points and no lines are perpendicular. So don't have any perpendicular lines.
Let us consider T. It has 2 lines which meet at one point. From the letter we can say that the 2 lines are perpendicular. So T has perpendicular lines.
Now we have H. It has 2 parallel lines intersected by a line. From the figure we can say that the intersected line is perpendicular to the parallel lines. So H also has perpendicular lines.
The last letter is S. It doesn’t have a straight line or any intersection. So it doesn’t have any perpendicular lines.
So only the letters T and H have perpendicular lines.
So only 2 of the given letters have perpendicular lines.
Note: Two lines are said to be perpendicular only if they intersect at right angles. When 2 lines intersect 4 angles are formed. If the two lines are perpendicular all the 4 angles formed will be right angles. The angles of the lines of letters may change according to the font or the person’s handwriting. We are only considering the letters in the standard forms only.
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