#### Chapters

## Chapter 4: Geometry

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 4 GeometryExercise 4.1 [Pages 84 - 87]

Find the new position point using the translation given

2→, 4↓

Find the new position point using the translation given

6↑

Find the new position point using the translation given

3←, 5↓

Find the new position point using the translation given

4→, 3↑

How is the pre-image translated to the image?

How is the pre-image translated to the image?

How is the pre-image translated to the image?

How is the pre-image translated to the image?

Find the image of the given triangle with given translation

4↑

Find the image of the given triangle with given translation

6→ 3↓

Find the image of the given triangle with given translation

5← 4↓

Find the image of the given triangle with given translation

4→ 3↑

Reflect the shape with given line of reflection

Reflect the shape with given line of reflection

Reflect the shape with given line of reflection

Reflect the shape with given line of reflection

Reflect the shape with given line of reflection

Reflect the shape with given line of reflection

Reflect the shape in the following picture with given line of reflection

Reflect the shape in the following picture with given line of reflection

Reflect the shape in the following picture with given line of reflection

Rotate the preimage as directed about the green point

90° clockwise

Rotate the preimage as directed about the green point

180°

Rotate the preimage as directed about the green point

270° counter clockwise

Rotate the preimage as directed about the green point

90° counter clockwise

Rotate the preimage as directed about the green point

90° clockwise

Rotate the preimage as directed about the green point

180°

Identify the transformation

Identify the transformation

Identify the transformation

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.

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

Footprint B

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

Footprint C

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

Footprint D

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

Footprint E

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

Choose an angle or a vertex from the preimage and name its image

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

List all pairs of corresponding sides

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

#### Objective Type Questions

A _______ is a turn about a point

Translation

Rotation

Reflection

Glide Reflection

A _______ is a flip over a line

Translation

Rotation

Reflection

Glide Reflection

A _______ is a slide, move without turning or flipping the shape

Translation

Rotation

Reflection

Glide Reflection

The transformation used in the picture is

Translation

Rotation

Reflection

Glide Reflection

The transformation used in the picture is

Translation

Rotation

Reflection

Glide Reflection

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?

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 4 GeometryExercise 4.2 [Page 89]

Draw circle for the following measurements of radius(r)/diameters(d)

r = 4 cm

Draw circle for the following measurements of radius(r)/diameters(d)

d = 12 cm

Draw circle for the following measurements of radius(r)/diameters(d)

r = 3.5 cm

Draw circle for the following measurements of radius(r)/diameters(d)

r = 6.5 cm

Draw circle for the following measurements of radius(r)/diameters(d)

d = 6 cm

Draw concentric circle for the following measurements of radii/diameters. Find out the width of the circular ring.

r = 3 cm and r = 5 cm

Draw concentric circle for the following measurements of radii/diameters. Find out the width of the circular ring.

r = 3.5 cm and r = 6.5 cm

Draw concentric circle for the following measurements of radii/diameters. Find out the width of the circular ring.

d = 6.4 cm and d = 11.6 cm

r = 5 cm and r = 7.5 cm

d = 6.2 cm and r = 6.2 cm

r = 7.1 cm and d = 12 cm

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide Chapter 4 GeometryExercise 4.3 [Pages 90 - 91]

#### Miscellaneous Practice problems

The bishop, in given picture of chess board, can move diagonally along dark squares. Describe the translations of the bishop after two moves as shown in the figure

Write a possible translation for each of chess piece for a single move

Referring the graphic given, answer the following questions. Each bar of the category is made up of boy-girl-boy unit,

**(i)** Which categories show a boy-girl-boy unit that is translation within the bar?

**(ii)** Which categories show a boy-girl-boy unit that is reflected within the bar?

Given figure is a floor design in which the length of the small red equilateral triangle is 30 cm. All the triangles and hexagons are regular. Describe the translations in cm, represented by the (i) yellow line (ii) black line (iii) blue line

Describe the transformation involved in the following pair of figure (letter). Write translation, reflection or rotation.

Describe the transformation involved in the following pair of figure (letter). Write translation, reflection or rotation.

Describe the transformation involved in the following pair of figure (letter). Write translation, reflection or rotation.

#### Challenge Problems

In chess, a knight can move only in an L-shaped pattern:

● two vertical squares, then one horizontal square

● two horizontal squares, then one vertical square

● one vertical square, then two horizontal squares

● one horizontal square, then two vertical squares

Write a series of translations to move the knight from g8 to g5 [at most two moves].

The pink shape is congruent to blue shape. Describe a sequence of transformations in which the blue shape is the image of pink shape

The pink shape is congruent to blue shape. Describe a sequence of transformations in which the blue shape is the image of pink shape

Draw the **translation** of the shape

Draw the **reflection** of the shape

Draw the **Rotation** of the shape

Draw concentric circles given that radius of inner circle is 4.5 cm and width of circular ring is 2.5 cm

Draw concentric circles given that radius of outer circle is 5.3 cm and width of circular ring is 1.8 cm

## Chapter 4: Geometry

## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 4 - Geometry

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 3 Answers Guide chapter 4 (Geometry) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 7th Mathematics Term 3 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 7th Mathematics Term 3 Answers Guide chapter 4 Geometry are Concept of Lines Symmetry, Concept of Reflection Symmetry, Concept of Reflection Symmetry, Translational Symmetry, Concept of Symmetry, Symmetry Through Transformations, Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Construction of a Circle When Its Radius is Known, Construction of Concentric Circles.

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