Chapter-9 Symmetry — Online MCQ Test
MATHS (KANITHA PRAKASH) · CLASS 6th · Karnataka State Board
Practice Chapter-9 Symmetry with a free chapter-wise online MCQ test.
This chapter covers: line of symmetry - mirror image - reflection - rotational symmetry - symmetrical designs.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-9 Symmetry — Important Questions & Answers
What is a line of symmetry?
- A. A line that divides a shape into two identical mirror images
- B. A line that divides a shape into two equal parts of any kind
- C. A line that goes through the center of any shape
- D. A line that makes a shape rotate
Answer: A. A line that divides a shape into two identical mirror images
A line of symmetry is a line along which a figure can be folded so that the two halves match exactly, creating mirror images.
A line of symmetry is a line along which a figure can be folded so that the two halves match exactly, creating mirror images.
How many lines of symmetry does a square have?
- A. 1
- B. 2
- C. 3
- D. 4
Answer: D. 4
A square has 4 lines of symmetry: 2 diagonal lines and 2 lines through the midpoints of opposite sides.
A square has 4 lines of symmetry: 2 diagonal lines and 2 lines through the midpoints of opposite sides.
Which of the following letters has a line of symmetry?
- A. L
- B. A
- C. P
- D. Q
Answer: B. A
The letter 'A' has a vertical line of symmetry down its middle, dividing it into two mirror images.
The letter 'A' has a vertical line of symmetry down its middle, dividing it into two mirror images.
What is a mirror image?
- A. An image that is the same as the original
- B. An image that looks like the original reflected in a mirror
- C. An image that is rotated 180 degrees
- D. An image that is smaller than the original
Answer: B. An image that looks like the original reflected in a mirror
A mirror image is the reflection of an object as it would appear if reflected across a line, typically a vertical mirror.
A mirror image is the reflection of an object as it would appear if reflected across a line, typically a vertical mirror.
Which letter does NOT have any line of symmetry?
- A. H
- B. I
- C. F
- D. V
Answer: C. F
The letter 'F' has no line of symmetry because there is no line that divides it into two identical mirror images.
The letter 'F' has no line of symmetry because there is no line that divides it into two identical mirror images.
If a shape has 2 lines of symmetry and rotational symmetry of order 2, which shape could it be?
- A. Isosceles triangle
- B. Rectangle
- C. Circle
- D. Equilateral triangle
Answer: B. Rectangle
A rectangle has exactly 2 lines of symmetry (horizontal and vertical through the center) and rotational symmetry of order 2 (180° rotation).
A rectangle has exactly 2 lines of symmetry (horizontal and vertical through the center) and rotational symmetry of order 2 (180° rotation).
A design is made by reflecting a pattern across a vertical line 3 times alternately. Which statement is true?
- A. The final design will have only 1 line of symmetry
- B. The final design will have 3 lines of symmetry
- C. The final design will have no lines of symmetry
- D. The final design depends on the original pattern
Answer: D. The final design depends on the original pattern
The number of lines of symmetry in the final design depends on the symmetry properties of the original pattern being reflected.
The number of lines of symmetry in the final design depends on the symmetry properties of the original pattern being reflected.
A regular octagon has _____ lines of symmetry and rotational symmetry of order _____.
- A. 8, 8
- B. 4, 4
- C. 8, 4
- D. 4, 8
Answer: A. 8, 8
A regular octagon has 8 lines of symmetry (4 through opposite vertices and 4 through midpoints of opposite sides) and rotational symmetry of order 8.
A regular octagon has 8 lines of symmetry (4 through opposite vertices and 4 through midpoints of opposite sides) and rotational symmetry of order 8.
In a symmetrical design created by folding paper along a line and cutting shapes, if you cut a triangle from one side, what shape appears on the other side when unfolded?
- A. A different polygon
- B. An identical triangle (mirror image)
- C. No shape appears
- D. A larger triangle
Answer: B. An identical triangle (mirror image)
When paper is folded and cut, the cut creates a mirror image on the other side of the fold line, so cutting a triangle produces an identical triangle when unfolded.
When paper is folded and cut, the cut creates a mirror image on the other side of the fold line, so cutting a triangle produces an identical triangle when unfolded.
A shape has rotational symmetry of order 5. If you also claim it has 5 lines of symmetry, which statement about this claim is most accurate?
- A. The claim is always true
- B. The claim is always false
- C. The claim is true only if the shape is a regular polygon
- D. The claim cannot be verified without seeing the shape
Answer: C. The claim is true only if the shape is a regular polygon
Regular polygons with rotational symmetry of order n also have n lines of symmetry. However, irregular shapes might have rotational symmetry without corresponding mirror symmetry.
Regular polygons with rotational symmetry of order n also have n lines of symmetry. However, irregular shapes might have rotational symmetry without corresponding mirror symmetry.