Symmetry test paper with multiple-choice and fill-in-the-blank questions.

Problem Analysis and Solution

The provided image contains a test paper on the topic of Symmetry. Below, I will solve each question step by step and explain the reasoning.

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#### Section A: Multiple Choice Questions

1. Question 1: Which of the following is the line of symmetry in the given figure?
- Figure: A square grid with lines labeled PQ and RS.
- Options:
a) Only PQ
b) Only RS
c) Neither PQ nor RS
d) Both PQ and RS

- Solution:
- A line of symmetry is a line that divides a figure into two identical halves such that one half is the mirror image of the other.
- In the given figure, both lines PQ and RS divide the square into two identical halves.
- Therefore, both PQ and RS are lines of symmetry.

- Answer: d) Both PQ and RS

2. Question 2: How many lines of symmetry are there in a rectangle?
- Options:
a) 1
b) 2
c) 4
d) 8

- Solution:
- A rectangle has two lines of symmetry:
1. One vertical line passing through the midpoint of the longer sides.
2. One horizontal line passing through the midpoint of the shorter sides.
- Rectangles do not have diagonal lines of symmetry unless they are squares.

- Answer: b) 2

3. Question 3: Which of the following is the mirror image of figure (X)?
- Figure (X): A box with symbols "A", "1", "↑↓", and "B".
- Mirror Line: Vertical line to the right of the box.
- Options:
a)
```
A | 1
↓↑ | B
```
b)
```
1 | A
↓↑ | B
```
c)
```
1 | A
↑↓ | B
```
d)
```
A | 1
↑↓ | B
```

- Solution:
- When reflecting across a vertical mirror line:
- The left side of the figure becomes the right side.
- The symbols remain in the same orientation vertically but switch horizontally.
- The correct reflection is:
```
1 | A
↑↓ | B
```

- Answer: c)
```
1 | A
↑↓ | B
```

4. Question 4: How many lines of symmetry does the given figure have?
- Figure: A U-shaped figure.
- Options:
a) 0
b) 1
c) 2
d) Infinite

- Solution:
- The U-shaped figure has one line of symmetry:
- A vertical line passing through the middle of the U-shape divides it into two identical halves.
- There are no other lines of symmetry (horizontal or diagonal).

- Answer: b) 1

5. Question 5: Which of the following is another name of the line of symmetry?
- Options:
a) Point of symmetry
b) Axis of symmetry
c) Centre of symmetry
d) None of these

- Solution:
- The line of symmetry is also known as the axis of symmetry.
- A point of symmetry or centre of symmetry refers to a point around which a figure is symmetric, not a line.

- Answer: b) Axis of symmetry

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#### Section B: Fill in the Blanks

6. Question 6: Alphabet H has ________ line(s) of symmetry.
- Solution:
- The letter "H" has two lines of symmetry:
1. One vertical line passing through the middle.
2. One horizontal line passing through the middle.

- Answer: 2

7. Question 7: A circle has ________ line(s) of symmetry.
- Solution:
- A circle has infinite lines of symmetry because any line passing through its center divides it into two identical halves.

- Answer: Infinite

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Final Answers

1. d) Both PQ and RS
2. b) 2
3. c)
```
1 | A
↑↓ | B
```
4. b) 1
5. b) Axis of symmetry
6. 2
7. Infinite

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Boxed Final Answers

1. \(\boxed{d}\)
2. \(\boxed{b}\)
3. \(\boxed{c}\)
4. \(\boxed{b}\)
5. \(\boxed{b}\)
6. \(\boxed{2}\)
7. \(\boxed{\text{Infinite}}\)