Exercise 4.1 - Chapter 4 - Geometry - Term 3 - 7th Maths Guide Samacheer Kalvi Solutions

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Ex $4.1$
Question 1.

Solution:

Questàon $2 .$
How is the pre-image translated to the image?

Solution:

(i) $3 \rightarrow, 4 \uparrow$
(ii) $3 \leftarrow 3 \uparrow$
(iii) $4 \leftarrow, 4]$
(iv) $2 \leftarrow, 2 !$
 

Question $3 .$
Find the image of the given triangle with given translation.
(i) $4 \uparrow$
(ii) $6 \rightarrow 3 \downarrow$
(iii) $5 \leftarrow 4 \downarrow$
(iv) $4 \rightarrow 3 \hat{\uparrow}$

Solution:

Question $4 .$
Reflect the shape with given line of reflection

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

Question 6.
Rotate the preimages in each case as directed about the red point.

Solution:

Identify the Lransformation:
Question $7 .$

Solution:
Reflection

Question $8 .$

Solution:
Rotation

Question $9 .$

Solution:
Translation
 

Question 10.
A pool of fish translates from point $\mathrm{F}$ to point $\mathrm{D}$.
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 boal could make lo get to point D.

Solution:
(a) Translation of pool of fish is $7 \rightarrow, 2$.
(b) No, the fishing boat will be landed on the island if translated.
(c) To get point $\mathrm{D}$, the translation will be $5 \rightarrow, 3$ !
 

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

(i) Footprint B
(ii) Foolprint
(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.

Question $12 .$
In given daggram, the blue figure is an amage of the pink figure.

(i) Choose an angle or a verlex from the preirnage and name its image.
(ii) List all pairs of corresponding sides.
Solution:
(i) lmage of $\angle L$ is $\angle L$, lmage of $\angle M$ is $\angle M^{\prime}$,
Inage of $\angle \mathrm{N}$ is $\angle \mathrm{N}^{\circ}$. Image of $\angle \mathrm{O}$ is $\angle \mathrm{O}^{\circ}$
Image of vertex $\mathrm{L}$ is $\mathrm{L}^{\circ}$. Image of vertex $\mathrm{M}$ is $\angle \mathrm{M}^{\top}$
Image of vertex $\mathrm{N}$ is $\angle \mathrm{N}^{*}$, lmage of vertex $\mathrm{O}$ is $\mathrm{O}^{\circ}$
(ii) Corresponding sades are LM and L."M', $\mathrm{MN}$ and $\mathrm{M}^{\prime} \mathrm{N}^{*}, \mathrm{NO}$ and $\mathrm{N}^{\prime} \mathrm{O}^{\prime}$ and $\mathrm{OL}$ and $\mathrm{O}^{\prime} \mathrm{L}^{\circ}$

Question $13 .$
In the diagram at the right, the green figure is a translation image of the pink fagure. Write a coortinate rule that deseribes the translation.

Solution:
The rule bind here in $3 \rightarrow$, 11.

Objective Type Questions
Question 1.
A ___ is a turn about a point.
(i) Translation
(ii) Rotation
(iii) Reflection
(iv) Glide Reflection is a flip over a line.
Answer: (ii) Rotation

Question 2 .

A______ is a flip over a line.

(i) Translation

(ii) Rotation

(iii) Reflection
(iv) Ghide Reflection
Answer:
(iii) Reflection
 

Question $3 .$
A is a slide; move without turning or flipping the shape.
(i) Translation
(iii) Rotation
(iv) Glide Reflection
Answer:
(i) Translation

Question $4 .$
The transformation used in the picture is

(i) Translation
(ii) Rotation
(iii) Reflection
(iv) Glide Reflection
Answer:
(ii) Rotation
 

Question $5 .$
The transformation used in the picture is

(i) Translation
(ii) Rotation
(iii) Reflection
(iv) Glide Reflection
Answer:
(i) Translation

Question $6 .$
You must rotate the puzzle piece $270^{\circ}$ clockwise about point $P$ to fit it into a puzzle. Which piece fits in the puzzle as shown?

Solution: