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All questions of Symmetry for Class 6 Exam
Which shape has infinite lines of symmetry?- a) Rectangle
- b) Square
- c) Circle
- d) Triangle
Correct answer is option 'C'. Can you explain this answer?
Which shape has infinite lines of symmetry?
a)
Rectangle
b)
Square
c)
Circle
d)
Triangle
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Avani Shinde answered |
The answer is Circle because it is round in shape and can have infinite lines all around .
How do you construct a point symmetric to a given point with respect to a line?- a) Draw a line through both points
- b) Draw a line perpendicular to the line at the given point
- c) Measure the distance from the line to the point
- d) Extend the line to find the reflection
Correct answer is option 'B'. Can you explain this answer?
How do you construct a point symmetric to a given point with respect to a line?
a)
Draw a line through both points
b)
Draw a line perpendicular to the line at the given point
c)
Measure the distance from the line to the point
d)
Extend the line to find the reflection
|
Shruti Singh answered |
Understanding Point Symmetry
To construct a point symmetric to a given point with respect to a line, it’s crucial to follow the correct steps. Here's a detailed explanation of the process:
Step A: Draw a Line Through Both Points
- This step is not necessary for finding the symmetric point. Instead, we focus on the line of reflection.
Step B: Draw a Line Perpendicular to the Line at the Given Point
- This is the correct answer.
- The perpendicular line will help locate the point directly opposite the original point relative to the line.
- By ensuring the line is perpendicular, you guarantee that the distance from the original point to the line is equal to the distance from the line to the symmetric point.
Step C: Measure the Distance from the Line to the Point
- While measuring distance is essential, it is part of the process after establishing the perpendicular.
- This measurement will help in locating the symmetric point correctly.
Step D: Extend the Line to Find the Reflection
- Extending the line is not needed unless you are looking for a visual aid. The perpendicular drawn will naturally lead to the symmetric point below or above the original point.
Conclusion
In summary, the critical step is to draw a perpendicular line from the original point to the line of reflection. This method ensures that the symmetric point is accurately located, maintaining equal distances on both sides of the line. Following this systematic approach will yield the correct reflection of the point.
To construct a point symmetric to a given point with respect to a line, it’s crucial to follow the correct steps. Here's a detailed explanation of the process:
Step A: Draw a Line Through Both Points
- This step is not necessary for finding the symmetric point. Instead, we focus on the line of reflection.
Step B: Draw a Line Perpendicular to the Line at the Given Point
- This is the correct answer.
- The perpendicular line will help locate the point directly opposite the original point relative to the line.
- By ensuring the line is perpendicular, you guarantee that the distance from the original point to the line is equal to the distance from the line to the symmetric point.
Step C: Measure the Distance from the Line to the Point
- While measuring distance is essential, it is part of the process after establishing the perpendicular.
- This measurement will help in locating the symmetric point correctly.
Step D: Extend the Line to Find the Reflection
- Extending the line is not needed unless you are looking for a visual aid. The perpendicular drawn will naturally lead to the symmetric point below or above the original point.
Conclusion
In summary, the critical step is to draw a perpendicular line from the original point to the line of reflection. This method ensures that the symmetric point is accurately located, maintaining equal distances on both sides of the line. Following this systematic approach will yield the correct reflection of the point.
What is the line of symmetry for a rectangle?- a) 4
- b) 3
- c) 1
- d) 2
Correct answer is option 'D'. Can you explain this answer?
What is the line of symmetry for a rectangle?
a)
4
b)
3
c)
1
d)
2
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Get Idea answered |
A rectangle has two lines of symmetry, which are the perpendicular bisectors of its opposite sides. This means you can fold the rectangle along these lines and the halves will match perfectly.
What does it mean if a figure has no lines of symmetry?- a) It can be folded in multiple ways
- b) It is perfectly balanced
- c) It is a regular shape
- d) It cannot be divided into equal parts
Correct answer is option 'D'. Can you explain this answer?
What does it mean if a figure has no lines of symmetry?
a)
It can be folded in multiple ways
b)
It is perfectly balanced
c)
It is a regular shape
d)
It cannot be divided into equal parts
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A figure with no lines of symmetry cannot be divided into equal parts. This characteristic is typical of irregular shapes where no mirroring is possible.
What type of symmetry does a sector of a circle have?- a) Infinite lines of symmetry
- b) No symmetry
- c) One line of symmetry
- d) Two lines of symmetry
Correct answer is option 'C'. Can you explain this answer?
What type of symmetry does a sector of a circle have?
a)
Infinite lines of symmetry
b)
No symmetry
c)
One line of symmetry
d)
Two lines of symmetry
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A sector of a circle has one line of symmetry, which is the angle bisector of the radii forming the sector. This line divides the sector into two equal halves.
Which type of triangle has exactly one line of symmetry?- a) Equilateral triangle
- b) Scalene triangle
- c) Isosceles triangle
- d) Right triangle
Correct answer is option 'C'. Can you explain this answer?
Which type of triangle has exactly one line of symmetry?
a)
Equilateral triangle
b)
Scalene triangle
c)
Isosceles triangle
d)
Right triangle
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An isosceles triangle has exactly one line of symmetry, which is the angle bisector of the vertex angle. This line ensures that the two equal sides mirror each other.
Which figure is an example of having one line of symmetry?- a) Scalene triangle
- b) Arrowhead
- c) Circle
- d) Equilateral triangle
Correct answer is option 'B'. Can you explain this answer?
Which figure is an example of having one line of symmetry?
a)
Scalene triangle
b)
Arrowhead
c)
Circle
d)
Equilateral triangle
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An arrowhead has one line of symmetry, which runs along its central axis. This allows for one-half to mirror the other perfectly when folded along this line.
Which of the following statements is true about nonsymmetric figures?- a) They always have at least one line of symmetry
- b) They have no identical halves
- c) They can be folded along a line of symmetry
- d) Both halves match perfectly when folded
Correct answer is option 'B'. Can you explain this answer?
Which of the following statements is true about nonsymmetric figures?
a)
They always have at least one line of symmetry
b)
They have no identical halves
c)
They can be folded along a line of symmetry
d)
Both halves match perfectly when folded
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Nonsymmetric figures do not have identical halves, which means they cannot be folded to match one another along any line.
What is the relationship between symmetry and aesthetics in shapes?- a) Symmetric shapes are often seen as more visually pleasing
- b) Symmetry makes shapes less appealing
- c) Symmetric shapes are always more complex
- d) Aesthetics have no relation to symmetry
Correct answer is option 'A'. Can you explain this answer?
What is the relationship between symmetry and aesthetics in shapes?
a)
Symmetric shapes are often seen as more visually pleasing
b)
Symmetry makes shapes less appealing
c)
Symmetric shapes are always more complex
d)
Aesthetics have no relation to symmetry
|
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Symmetric shapes are often perceived as more visually appealing due to their balanced and harmonious nature. This aesthetic quality is frequently utilized in art and design.
How many lines of symmetry does an equilateral triangle have?- a) 4
- b) 3
- c) 2
- d) 1
Correct answer is option 'B'. Can you explain this answer?
How many lines of symmetry does an equilateral triangle have?
a)
4
b)
3
c)
2
d)
1
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An equilateral triangle has three lines of symmetry, which are the angle bisectors that also act as the perpendicular bisectors of the sides. This means that each line divides the triangle into two equal halves.
What happens to an object when it has reflection symmetry?- a) It and its mirror image are congruent
- b) It appears distorted
- c) It can only be folded in one way
- d) It has no symmetry at all
Correct answer is option 'A'. Can you explain this answer?
What happens to an object when it has reflection symmetry?
a)
It and its mirror image are congruent
b)
It appears distorted
c)
It can only be folded in one way
d)
It has no symmetry at all
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In reflection symmetry, the object and its mirror image are congruent, meaning all lengths and angles remain the same. However, the image is laterally inverted, so left and right are swapped.
What is a characteristic of a line of symmetry?- a) It can only be drawn in geometric shapes
- b) It divides a shape into two equal parts
- c) It can be horizontal or vertical only
- d) It must be straight
Correct answer is option 'B'. Can you explain this answer?
What is a characteristic of a line of symmetry?
a)
It can only be drawn in geometric shapes
b)
It divides a shape into two equal parts
c)
It can be horizontal or vertical only
d)
It must be straight
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A line of symmetry divides a shape into two equal parts, ensuring that each half mirrors the other. This property is fundamental to defining symmetric figures.
A heart shape is an example of which type of figure?- a) Asymmetric figure
- b) Irregular figure
- c) Nonsymmetric figure
- d) Symmetric figure
Correct answer is option 'D'. Can you explain this answer?
A heart shape is an example of which type of figure?
a)
Asymmetric figure
b)
Irregular figure
c)
Nonsymmetric figure
d)
Symmetric figure
|
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A heart shape is a symmetric figure because it can be folded vertically through its center, resulting in both halves matching perfectly.
How many lines of symmetry does a kite-shaped figure have?- a) 1
- b) 2
- c) 3
- d) 4
Correct answer is option 'A'. Can you explain this answer?
How many lines of symmetry does a kite-shaped figure have?
a)
1
b)
2
c)
3
d)
4
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A kite-shaped figure has one line of symmetry, which runs along the diagonal that connects the vertices where the unequal angles are located.
When observing reflection symmetry, what is the effect of the mirror line?- a) It creates multiple images
- b) It eliminates symmetry
- c) It distorts the image
- d) It acts as a boundary for the reflection
Correct answer is option 'D'. Can you explain this answer?
When observing reflection symmetry, what is the effect of the mirror line?
a)
It creates multiple images
b)
It eliminates symmetry
c)
It distorts the image
d)
It acts as a boundary for the reflection
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The mirror line acts as a boundary for the reflection, ensuring that the object and its mirror image are congruent across the line, maintaining the distances and angles.
What is the definition of symmetry in shapes?- a) When one half of a shape is a mirror image of the other half
- b) When a shape can be folded without overlaps
- c) When a shape is three-dimensional
- d) When a shape has unequal sides
Correct answer is option 'A'. Can you explain this answer?
What is the definition of symmetry in shapes?
a)
When one half of a shape is a mirror image of the other half
b)
When a shape can be folded without overlaps
c)
When a shape is three-dimensional
d)
When a shape has unequal sides
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Symmetry refers to shapes or objects where one half is a mirror image of the other half. This concept is fundamental in geometry and helps in understanding how shapes relate to one another visually and mathematically.
What is the reflection symmetry of an object?- a) Symmetry across a surface
- b) Symmetry across a point
- c) Symmetry across a line
- d) Symmetry across multiple planes
Correct answer is option 'C'. Can you explain this answer?
What is the reflection symmetry of an object?
a)
Symmetry across a surface
b)
Symmetry across a point
c)
Symmetry across a line
d)
Symmetry across multiple planes
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Reflection symmetry refers to the symmetry of an object across a line, also known as the mirror line, where the object and its mirror image are congruent.
In constructing a line of symmetry for two points, what is the first step?- a) Draw a line segment joining the points
- b) Draw a circle around the points
- c) Measure the distance between the points
- d) Extend the line segment
Correct answer is option 'A'. Can you explain this answer?
In constructing a line of symmetry for two points, what is the first step?
a)
Draw a line segment joining the points
b)
Draw a circle around the points
c)
Measure the distance between the points
d)
Extend the line segment
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The first step is to draw a line segment that joins the two points. This line segment is essential for finding the perpendicular bisector, which will serve as the line of symmetry.
Which shape has two lines of symmetry?- a) Scalene triangle
- b) Isosceles triangle
- c) Heart shape
- d) Rectangle
Correct answer is option 'D'. Can you explain this answer?
Which shape has two lines of symmetry?
a)
Scalene triangle
b)
Isosceles triangle
c)
Heart shape
d)
Rectangle
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A rectangle has two lines of symmetry, which are created by the perpendicular bisectors of its opposite sides. This allows for symmetrical folding along these lines.
Which of the following shapes has no lines of symmetry?- a) Circle
- b) Square
- c) Scalene triangle
- d) Isosceles triangle
Correct answer is option 'C'. Can you explain this answer?
Which of the following shapes has no lines of symmetry?
a)
Circle
b)
Square
c)
Scalene triangle
d)
Isosceles triangle
|
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Get Idea answered |
A scalene triangle has no lines of symmetry because it has no equal sides or angles. This characteristic distinguishes it from other triangles that do exhibit symmetry.
Chapter doubts & questions for Symmetry - Mathematics Class 6 ICSE 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics Class 6 ICSE
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