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All questions of Bearings, Constructions & Scale Drawings for Class 10 Exam
What angle is formed when a perpendicular line is drawn from a point not on the line?- a) 30°
- b) 90°
- c) 120°
- d) 60°
Correct answer is option 'B'. Can you explain this answer?
What angle is formed when a perpendicular line is drawn from a point not on the line?
a)
30°
b)
90°
c)
120°
d)
60°
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When a perpendicular line is drawn from a point not on the line, a 90° angle is formed. This is a fundamental concept in geometry, as perpendicular lines create right angles, which are crucial for many geometric constructions and proofs.
What radius should be used when drawing arcs to find the bisector of an angle?- a) More than half of TS
- b) Less than half of TS
- c) The length of the line segment
- d) Equal to the length of the angle
Correct answer is option 'A'. Can you explain this answer?
What radius should be used when drawing arcs to find the bisector of an angle?
a)
More than half of TS
b)
Less than half of TS
c)
The length of the line segment
d)
Equal to the length of the angle
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When drawing arcs to find the bisector of an angle, the radius used should be more than half of the distance between the intersection points of the arcs. This ensures that the arcs intersect at a point that allows the bisector to be accurately drawn, facilitating precise angle construction.
Which angle can be constructed by bisecting a 90° angle?- a) 30°
- b) 75°
- c) 45°
- d) 60°
Correct answer is option 'C'. Can you explain this answer?
Which angle can be constructed by bisecting a 90° angle?
a)
30°
b)
75°
c)
45°
d)
60°
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By bisecting a 90° angle, one can construct a 45° angle. This is because bisecting means dividing the angle into two equal parts, and half of 90° is 45°. This technique is often used in various geometric applications, including creating right triangles and other geometric figures.
What is a key characteristic of a line segment's perpendicular bisector?- a) It does not require a compass
- b) It can only be drawn using a protractor
- c) It is equal in length to the original segment
- d) It intersects the segment at a 90° angle
Correct answer is option 'D'. Can you explain this answer?
What is a key characteristic of a line segment's perpendicular bisector?
a)
It does not require a compass
b)
It can only be drawn using a protractor
c)
It is equal in length to the original segment
d)
It intersects the segment at a 90° angle
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A key characteristic of a line segment's perpendicular bisector is that it intersects the segment at a 90° angle, dividing it into two equal lengths. This property is crucial in various geometric constructions and proofs, highlighting the importance of perpendicularity in geometry.
How do you ensure accurate intersection points when drawing arcs for angle bisectors?- a) Measure each arc separately
- b) Use different radii
- c) Keep the compass setting the same
- d) Change the compass frequently
Correct answer is option 'C'. Can you explain this answer?
How do you ensure accurate intersection points when drawing arcs for angle bisectors?
a)
Measure each arc separately
b)
Use different radii
c)
Keep the compass setting the same
d)
Change the compass frequently
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Get Idea answered |
To ensure accurate intersection points when drawing arcs for angle bisectors, it is crucial to keep the compass setting the same throughout the process. This consistency allows for precise intersections that form the basis of the bisector, emphasizing the importance of careful measurement in geometric constructions.
What angle is created when two lines intersect perpendicularly?- a) 60°
- b) 90°
- c) 120°
- d) 45°
Correct answer is option 'B'. Can you explain this answer?
What angle is created when two lines intersect perpendicularly?
a)
60°
b)
90°
c)
120°
d)
45°
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When two lines intersect perpendicularly, they create a 90° angle. This right angle is a fundamental concept in geometry, serving as a basis for constructing other angles and figures, and is integral in various fields, including architecture and engineering.
What is the purpose of constructing a perpendicular bisector of a line segment?- a) To divide the line segment into two equal parts
- b) To extend the line segment
- c) To measure the length of the line segment
- d) To create an angle
Correct answer is option 'A'. Can you explain this answer?
What is the purpose of constructing a perpendicular bisector of a line segment?
a)
To divide the line segment into two equal parts
b)
To extend the line segment
c)
To measure the length of the line segment
d)
To create an angle
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The purpose of constructing a perpendicular bisector is to divide a line segment into two equal parts at a 90° angle. This is achieved by creating arcs from both endpoints of the segment and connecting the points where these arcs intersect. This method is fundamental in various geometric constructions and ensures precise division, which is critical in many applications, such as in drafting and architecture.
What method would you use to create an angle of 60°?- a) Measure with a compass
- b) Create a triangle and bisect
- c) Draw an arc and connect points
- d) Draw two intersecting lines
Correct answer is option 'C'. Can you explain this answer?
What method would you use to create an angle of 60°?
a)
Measure with a compass
b)
Create a triangle and bisect
c)
Draw an arc and connect points
d)
Draw two intersecting lines
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To create an angle of 60°, one effective method is to draw an arc from the vertex and then connect points where the arc intersects the line. This method utilizes the properties of equilateral triangles, where each angle measures 60°, showcasing a practical application of geometric principles.
What tool is primarily used to construct angles of specific measures?- a) A ruler
- b) A protractor
- c) A pencil
- d) A compass
Correct answer is option 'B'. Can you explain this answer?
What tool is primarily used to construct angles of specific measures?
a)
A ruler
b)
A protractor
c)
A pencil
d)
A compass
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A protractor is the tool used to construct angles of specific measures. By aligning the protractor's midpoint with the initial point of a ray and marking the desired angle on the scale, one can draw angles accurately. This ability to measure angles is essential in geometry, enabling detailed construction of geometric figures.
What is needed to draw a line segment of a specific length?- a) A ruler and a compass
- b) A compass only
- c) A protractor and a ruler
- d) A straightedge only
Correct answer is option 'A'. Can you explain this answer?
What is needed to draw a line segment of a specific length?
a)
A ruler and a compass
b)
A compass only
c)
A protractor and a ruler
d)
A straightedge only
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To draw a line segment of a specific length, both a ruler and a compass are needed. The compass is used to measure the desired length, while the ruler provides a straight edge to draw the segment accurately. This combination of tools is essential for precise geometric constructions.
Which method can be used to draw a perpendicular to a line from a point on the line?- a) Use a protractor for measurement
- b) Draw an arc above and below the line
- c) Create a right triangle
- d) Extend the line segment
Correct answer is option 'B'. Can you explain this answer?
Which method can be used to draw a perpendicular to a line from a point on the line?
a)
Use a protractor for measurement
b)
Draw an arc above and below the line
c)
Create a right triangle
d)
Extend the line segment
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To draw a perpendicular line from a point on the line, one would typically draw an arc above and below the line, marking intersections and then connecting these points. This method illustrates the principles of constructing perpendicular lines using simple geometric techniques.
Which step is necessary when constructing a line segment of a given length using a compass?- a) Using a straightedge
- b) Drawing a circle
- c) Adjusting the compass to the desired length
- d) Marking the midpoint
Correct answer is option 'C'. Can you explain this answer?
Which step is necessary when constructing a line segment of a given length using a compass?
a)
Using a straightedge
b)
Drawing a circle
c)
Adjusting the compass to the desired length
d)
Marking the midpoint
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The necessary step when constructing a line segment of a given length is to adjust the compass to the desired length. This involves placing the compass point on the zero mark of the ruler and extending it to the required measurement before drawing an arc from a marked point on a line. This technique is essential for creating precise geometric figures.
What is the final step in constructing an angle of 135°?- a) Draw a 90° angle
- b) Draw a perpendicular line
- c) Measure the angle with a protractor
- d) Extend the bisected angle
Correct answer is option 'D'. Can you explain this answer?
What is the final step in constructing an angle of 135°?
a)
Draw a 90° angle
b)
Draw a perpendicular line
c)
Measure the angle with a protractor
d)
Extend the bisected angle
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The final step in constructing an angle of 135° is to extend the bisected angle from a 90° angle by creating an additional 45° angle. This involves bisecting the 90° angle and adding the resulting angle to reach 135°. Understanding this process is crucial for accurate angle construction.
What is the outcome of joining the points where arcs intersect when constructing a perpendicular bisector?- a) The bisector of the line segment
- b) A line segment of equal length
- c) A new angle
- d) A triangle
Correct answer is option 'A'. Can you explain this answer?
What is the outcome of joining the points where arcs intersect when constructing a perpendicular bisector?
a)
The bisector of the line segment
b)
A line segment of equal length
c)
A new angle
d)
A triangle
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Joining the points where arcs intersect when constructing a perpendicular bisector results in the bisector of the line segment. This line divides the segment into two equal parts, demonstrating a fundamental concept in geometry that is widely used in various applications.
What is the method to construct a 120° angle?- a) Draw a triangle
- b) Bisect a 60° angle
- c) Draw arcs from two points
- d) Extend a line
Correct answer is option 'D'. Can you explain this answer?
What is the method to construct a 120° angle?
a)
Draw a triangle
b)
Bisect a 60° angle
c)
Draw arcs from two points
d)
Extend a line
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To construct a 120° angle, one effective method is to first construct a 60° angle and then extend it. Another approach is to create an angle that measures 60° and then add another angle of 60°, using the property of supplementary angles. This showcases the interconnectedness of angle constructions in geometry.
How can one construct an angle equal to a given angle using a compass?- a) By measuring with a protractor
- b) By copying the length of a line segment
- c) By bisecting the angle
- d) By drawing arcs from both angles
Correct answer is option 'D'. Can you explain this answer?
How can one construct an angle equal to a given angle using a compass?
a)
By measuring with a protractor
b)
By copying the length of a line segment
c)
By bisecting the angle
d)
By drawing arcs from both angles
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To construct an angle equal to a given angle, one would draw arcs from both angles using the same compass setting. This process involves marking points where the arcs intersect and connecting these points to form the new angle. This method emphasizes the importance of geometric construction techniques in replicating angles accurately.
What geometric tool is essential for copying the length of an existing line segment?- a) A protractor
- b) A set square
- c) A straightedge
- d) A compass
Correct answer is option 'D'. Can you explain this answer?
What geometric tool is essential for copying the length of an existing line segment?
a)
A protractor
b)
A set square
c)
A straightedge
d)
A compass
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A compass is essential for copying the length of an existing line segment. By measuring the length of the segment with the compass and then reproducing that length at a new location, one can accurately transfer distances across geometric constructions.
What is the purpose of measuring the distance DE when constructing an angle?- a) To extend the line
- b) To duplicate the angle measure
- c) To find the midpoint
- d) To ensure the arcs intersect
Correct answer is option 'B'. Can you explain this answer?
What is the purpose of measuring the distance DE when constructing an angle?
a)
To extend the line
b)
To duplicate the angle measure
c)
To find the midpoint
d)
To ensure the arcs intersect
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The purpose of measuring the distance DE when constructing an angle is to duplicate the angle measure. By using the same compass setting, one can accurately create an angle equal to the original by transferring the distance between points on the angle. This technique is vital in geometric constructions.
What is the first step in constructing a bisector of an angle?- a) Draw an arc
- b) Measure the angle
- c) Draw a ray
- d) Find the midpoint
Correct answer is option 'A'. Can you explain this answer?
What is the first step in constructing a bisector of an angle?
a)
Draw an arc
b)
Measure the angle
c)
Draw a ray
d)
Find the midpoint
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The first step in constructing a bisector of an angle is to draw an arc with the center at the vertex of the angle. This arc intersects the sides of the angle at two points, which are then used to create additional arcs needed to find the bisector. This method is essential for ensuring that the angle is divided into two equal parts.
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