7th Maths : Term 3 Unit 4 : Geometry : Symmetry through transformations : Text Book Back Exercises Questions with Answers, Solution

**Exercise 4.1**

**1.
Find the new position of each point using the translation given.**

**(i)
2→,4↓**

**(ii)
6 ↑**

**(iii)
3 ←, 5 ↓**

**(iv)
4 →, 3 ↑**

**Solution:**

** **

**2.
How is the pre-image translated to the image?**

**Solution:**

(i) 3 → , 4 ↑ (ii) 3 ←, 3 ↑

(iii) 4 ←, 4 ↓ (iv) 2 → , 2↓

** **

**3.
Find the image of the given triangle with given translation.**

**(i)
4 ↑**

**(ii)
6 → 3 ↓**

**(iii)
5 ← 4 ↓**

**(iv)
4→3↑**

**Solution:**

** **

**4.
Reflect the shape with given line of reflection.**

**Solution:**

** **

**5.
Reflect the shape in each of the following pictures with given line of reflection.**

**Solution:**

** **

**6.
Rotate the preimages in each case as directed about the green point.**

**(i)
90˚ clockwise ****(ii)
180° ****(iii)
270˚counter clockwise ****(iv)
90˚counter clockwise ****(v)
90˚ clockwise ****(vi)
180˚**

**Solution:**

** **

**Identify the transformation**

7.

**Solution: ** Reflection

8.

**Solution: **Rotation

9.

**Solution: **Translation

**10.
A pool of fish translates from point F to point D.**

**a. Describe the translation of the pool
of fish.**

**b. Can the fishing boat make the same
translation? Explain.**

**c. Describe a translation the fishing
boat could make to get to point D.**

**Solution: **

**(a)** Translation of pool of fish is 7→, 2 ↓

**(b)** No, the fishing boat will be landed on the island if
translated.

**(c)** To get point D, the translation will be 5 →, 3↓

**11.
Name the transformation that will map footprint A onto the indicated footprint.**

**(i) Footprint B**

**(ii) Footprint C**

**(iii) Footprint D **

**(iv) Footprint E**

**Solution: **

**(i)** It is translation

**(ii)** Reflection about horizontal line.

**(iii)** Reflection about vertical line.

**(iv) **Rotation about the heel.

**12. In given diagram, the blue figure
is an image of the pink figure.**

**(i) Choose an angle or a vertex from
the preimage and name its image.**

**(ii) List all pairs of corresponding
sides.**

**Solution: **

**(i)** Image of ∠L is ∠L', Image of ∠M is ∠M',

Image of ∠N is ∠N', Image of ∠O is ∠O'

Image of vertex L is L', Image of vertex M is ∠M'

Image of vertex N is ∠N', Image of vertex O is O'

**(ii)** Corresponding sides are LM and L'M', MN and M'N', NO and N'O'
and OL and O'L'

13. In the diagram at the right, the
green figure is a translation image of the pink figure. Write a coordinate rule
that describes the translation.

**Solution: ** The rule bind here in 3→, ↑↓

** **

**Objective type questions.**

**14.
A _____ is a turn about a point. **

(i) Translation

(ii) Rotation

(iii) Reflection

(iv) Glide Reflection

**[Answer: (ii) Rotation]**

**15.
A _____ is a flip over a line. **

(i) Translation

(ii) Rotation

(iii) Reflection

(iv) Glide Reflection

**[Answer: (iii) Reflection]**

**16.
A _____ is a slide; move without turning or flipping the shape. **

(i) Translation

(ii) Rotation

(iii) Reflection

(iv) Glide Reflection

**[Answer: (i) Translation]**

**17.
The transformation used in the picture is **

(i) Translation

(ii) Rotation

(iii) Reflection

(iv) Glide Reflection

**[Answer: (ii) Rotation]**

**18.
The transformation used in the picture is **

(i) Translation

(ii) Rotation

(iii) Reflection

(iv) Glide Reflection

**[Answer: (i) Translation]**

**19.
You must rotate the puzzle piece 270° clockwise about the point P to fit it into
a puzzle. Which piece fits in the puzzle as shown?**

**[Answer: (iii)**

**Exercise 4.1**

1.

2. (i) 3→,4↑ (ii) 3←, 3↑ (iii) 4←, 4↓ (iv) 2→,2↓

3.

4.

5.

6.

7. Reflection

8. Rotation

9. Translation

10. a. 7→,2↓

b. No. It will be
landed on the island.

c. 5→,3↓

11. (i) Translation
(ii) Reflection about horizontal line (iii) Reflection about vertical line (iv)
Rotation about the heel

12. (i) Image of ∠L is L’, Image of ∠M is ∠M’,

Image of ∠N is ∠ N’, Image of ∠O is ∠O’

Image of vertex L is L’, Image of vertex M is∠ M’

Image of vertex N is ∠N; Image of vertex O is O’

(ii) Corresponding
sides are LM and L’M’, MN and M’N’, NO and N’O’ and OL and O’L’

13. 3→ 1↓

**Objective type questions****.**

14. (ii) Rotation

15. (iii) Reflection

16. (i) Translation

17. (ii) Rotation

18.(i) Translation

19.(iii)

Tags : Geometry | Term 3 Chapter 4 | 7th Maths , 7th Maths : Term 3 Unit 4 : Geometry

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7th Maths : Term 3 Unit 4 : Geometry : Exercise 4.1 (Symmetry through transformations) | Geometry | Term 3 Chapter 4 | 7th Maths

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