Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 5 - Geometry [Latest edition]

#### Chapters ## Chapter 5: Geometry

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4Exercise 5.5Exercise 5.6
Exercise 5.1 [Pages 92 - 93]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.1 [Pages 92 - 93]

Exercise 5.1 | Q 1 | Page 92

Name the pairs of adjacent angles Exercise 5.1 | Q 2 | Page 92

Find the angle ∠JIL from the given figure Exercise 5.1 | Q 3 | Page 92

Find the angles ∠GEH from the given figure Exercise 5.1 | Q 4. (i) | Page 92

Given that AB is a straight line. Calculate the value of x° in the following cases Exercise 5.1 | Q 4. (ii) | Page 92

Given that AB is a straight line. Calculate the value of x° in the following cases Exercise 5.1 | Q 4. (iii) | Page 92

Given that AB is a straight line. Calculate the value of x° in the following cases Exercise 5.1 | Q 5 | Page 92

One angle of a linear pair is a right angle. What can you say about the other angle?

Exercise 5.1 | Q 6 | Page 92

If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?

Exercise 5.1 | Q 7 | Page 92

There are six angles at a point. One of them is 45° and the other five angles are all equal. What is the measure of all the five angles?

Exercise 5.1 | Q 8. (i) | Page 92

In the given figure, identify any two pairs of adjacent angles Exercise 5.1 | Q 8. (ii) | Page 92

In the given figure, identify two pairs of vertically opposite angles Exercise 5.1 | Q 9 | Page 92

The angles at a point are x°, 2x°, 3x°, 4x° and 5x°. Find the value of the largest angle?

Exercise 5.1 | Q 10 | Page 92

From the given figure, find the missing angle Exercise 5.1 | Q 11 | Page 92

Find the angles x° and y° in the figure shown Exercise 5.1 | Q 12 | Page 92

Using the figure, answer the following questions

(i) What is the measure of angle x°?
(ii) What is the measure of angle y°? #### Objective type questions

Exercise 5.1 | Q 13 | Page 93

• no common interior, no common arm, no common vertex.

• one common vertex, one common arm, common interior

• one common arm, one common vertex, no common interior.

• one common arm, no common vertex, no common interior.

Exercise 5.1 | Q 14 | Page 93

In the given figure the angles ∠1 and ∠2 are • Opposite angles

• Linear pair

• Supplementary angles

Exercise 5.1 | Q 15 | Page 93

Vertically opposite angles are

• not equal in measure

• complementary

• supplementary

• equal in measure

Exercise 5.1 | Q 16 | Page 93

The sum of all angles at a point is

• 360°

• 180°

• 90°

Exercise 5.1 | Q 17 | Page 93

The measure of ∠BOC is • 90°

• 180°

•  80°

• 100°

Exercise 5.2 [Pages 100 - 102]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.2 [Pages 100 - 102]

Exercise 5.2 | Q 1. (i) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 1. (ii) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 1. (iii) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 1. (iv) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 1. (v) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 1. (vi) | Page 100

From the figure name the marked pair of angles Exercise 5.2 | Q 2. (i) | Page 100

Find the measure of angle x in the following figure Exercise 5.2 | Q 2. (ii) | Page 100

Find the measure of angle x in the following figure Exercise 5.2 | Q 2. (iii) | Page 100

Find the measure of angle x in the following figure Exercise 5.2 | Q 2. (iv) | Page 100

Find the measure of angle x in the following figure Exercise 5.2 | Q 2. (v) | Page 100

Find the measure of angle x in the following figure Exercise 5.2 | Q 3. (i) | Page 100

Find the measure of angle y in the following figure Exercise 5.2 | Q 3. (ii) | Page 100

Find the measure of angle y in the following figure Exercise 5.2 | Q 3. (iii) | Page 100

Find the measure of angle y in the following figure Exercise 5.2 | Q 3. (iv) | Page 100

Find the measure of angle y in the following figure Exercise 5.2 | Q 4. (i) | Page 101

Find the measure of angle z in the following figure Exercise 5.2 | Q 4. (ii) | Page 101

Find the measure of angle z in the following figure Exercise 5.2 | Q 4. (iii) | Page 101

Find the measure of angle z in the following figure Exercise 5.2 | Q 4. (iv) | Page 101

Find the measure of angle z in the following figure Exercise 5.2 | Q 5. (i) | Page 101

Find the value of angle a in the following figure Exercise 5.2 | Q 5. (ii) | Page 101

Find the value of angle a in the following figure Exercise 5.2 | Q 5. (iii) | Page 101

Find the value of angle a in the following figure Exercise 5.2 | Q 5. (iv) | Page 101

Find the value of angle a in the following figure Exercise 5.2 | Q 6. (i) | Page 101

Find the value of angle x in the following figure Exercise 5.2 | Q 6. (ii) | Page 101

Find the value of angle x in the following figure Exercise 5.2 | Q 7. (i) | Page 101

Anbu has marked the angles as shown in the following figure. Check whether it is correct. Give reason Exercise 5.2 | Q 7. (ii) | Page 101

Anbu has marked the angles as shown in the following figure. Check whether it is correct. Give reason Exercise 5.2 | Q 8 | Page 101

Mention two real life situations where we use parallel lines

Exercise 5.2 | Q 9 | Page 101

Two parallel lines are intersected by a transversal. What is the minimum number of angles you need to know to find the remaining angles. Give reason

#### Objective type questions

Exercise 5.2 | Q 10 | Page 101

A line which intersects two or more lines in different points is known as

• parallel lines

• transversal

• non-parallel lines

• Intersecting lines

Exercise 5.2 | Q 11 | Page 101

In the given figure angles a and b are

• alternate exterior angles

• corresponding angles

• alternate interior angles

• vertically opposite angles

Exercise 5.2 | Q 12 | Page 102

Which of the following statement is ALWAYS TRUE when parallel lines are cut by a transversal

• corresponding angles are supplementary.

• alternate interior angles are supplementary.

• alternate exterior angles are supplementary.

• interior angles on the same side of the transversal are supplementary.

Exercise 5.2 | Q 13 | Page 102

In the diagram what is the value of angle x? • 43°

• 44°

• 132°

• 134°

Exercise 5.3 [Page 103]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.3 [Page 103]

Exercise 5.3 | Q 1. (a) | Page 103

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

8 cm

Exercise 5.3 | Q 1. (b) | Page 103

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

7 cm

Exercise 5.3 | Q 1. (c) | Page 103

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

5.6 cm

Exercise 5.3 | Q 1. (d) | Page 103

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

10.4 cm

Exercise 5.3 | Q 1. (e) | Page 103

Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass

58 mm

Exercise 5.4 [Page 104]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.4 [Page 104]

Exercise 5.4 | Q 1. (a) | Page 104

Construct the following angles using protractor and draw a bisector to the angle using ruler and compass

60°

Exercise 5.4 | Q 1. (b) | Page 104

Construct the following angles using protractor and draw a bisector to the angle using ruler and compass

100°

Exercise 5.4 | Q 1. (c) | Page 104

Construct the following angles using protractor and draw a bisector to the angle using ruler and compass

90°

Exercise 5.4 | Q 1. (d) | Page 104

Construct the following angles using protractor and draw a bisector to the angle using ruler and compass

48°

Exercise 5.4 | Q 1. (e) | Page 104

Construct the following angles using protractor and draw a bisector to the angle using ruler and compass

110°

Exercise 5.5 [Page 105]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.5 [Page 105]

Exercise 5.5 | Q 1. (i) | Page 105

Construct the following angle using ruler and compass only

60°

Exercise 5.5 | Q 1. (ii) | Page 105

Construct the following angle using ruler and compass only

120°

Exercise 5.5 | Q 1. (iii) | Page 105

Construct the following angle using ruler and compass only

30°

Exercise 5.5 | Q 1. (iv) | Page 105

Construct the following angle using ruler and compass only

90°

Exercise 5.5 | Q 1. (v) | Page 105

Construct the following angle using ruler and compass only

45°

Exercise 5.5 | Q 1. (vi) | Page 105

Construct the following angle using ruler and compass only

150°

Exercise 5.5 | Q 1. (vii) | Page 105

Construct the following angle using ruler and compass only

135°

Exercise 5.6 [Pages 105 - 107]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 5 GeometryExercise 5.6 [Pages 105 - 107]

#### Miscellaneous Practice problems

Exercise 5.6 | Q 1 | Page 105

Find the value of x if ∠AOB is a right angle Exercise 5.6 | Q 2 | Page 105

In the given figure, find the value of x Exercise 5.6 | Q 3 | Page 105

Find the value of x, y and z Exercise 5.6 | Q 4 | Page 105

Two angles are in the ratio 11 : 25. If they are linear pair, find the angles

Exercise 5.6 | Q 5. (i) | Page 105 Exercise 5.6 | Q 5. (ii) | Page 105 Exercise 5.6 | Q 5. (iii) | Page 105

Does ∠BOC and ∠BOD form a linear pair? Exercise 5.6 | Q 5. (iv) | Page 105

Are the angles ∠COD and ∠BOD supplementary? Exercise 5.6 | Q 5. (v) | Page 105

Is ∠3 vertically opposite to ∠1? Exercise 5.6 | Q 6 | Page 106

In the figure POQ, ROS and TOU are straight lines. Find the x° Exercise 5.6 | Q 7 | Page 106

In the figure AB is parallel to DC. Find the value of ∠1 and ∠2. Justify your answer Exercise 5.6 | Q 8 | Page 106

In the figure AB is parallel to CD. Find x, y and z Exercise 5.6 | Q 9 | Page 106

Draw two parallel lines and a transversal. Mark two alternate interior angles G and H. If they are supplementary, what is the measure of each angle?

Exercise 5.6 | Q 10 | Page 106

A plumber must install pipe 2 parallel to pipe 1. He knows that ∠1 is 53. What is the measure of ∠2? #### Challenge Problems

Exercise 5.6 | Q 11 | Page 106

Find the value of y Exercise 5.6 | Q 12 | Page 106

Find the value of z Exercise 5.6 | Q 13 | Page 106

Find the value of x and y if RS is parallel to PQ Exercise 5.6 | Q 14 | Page 106

Two parallel lines are cut by a transversal. For each pair of interior angles on the same side of the transversal, if one angle exceeds the twice of the other angle by 48°. Find the angles

Exercise 5.6 | Q 15 | Page 106

In the figure, the lines GH and IJ are parallel. If ∠1 = 108° and ∠2 = 123°, find the value of x, y and z Exercise 5.6 | Q 16 | Page 106

In the parking lot shown, the lines that mark the width space are parallel. If ∠1 =(x + 39)°, ∠2 = (2x – 3y)° find x and y Exercise 5.6 | Q 17 | Page 107

Draw two parallel lines and a transversal. Mark two corresponding angles A and B. If ∠A = 4x, and ∠B = 3x + 7, find the value of x. Explain

Exercise 5.6 | Q 18 | Page 107

In the figure AB in parallel to CD. Find x°, y° and z° Exercise 5.6 | Q 19 | Page 107

Two parallel lines are cut by transversal. If one angle of a pair of corresponding angles can be represented by 42° less than three times the other. Find the corresponding angles

Exercise 5.6 | Q 20 | Page 107

In the given figure, ∠8 = 107°, what is the sum of the ∠2 and ∠4?

## Chapter 5: Geometry

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4Exercise 5.5Exercise 5.6 ## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 5 - Geometry

Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 5 (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 1 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 1 Answers Guide chapter 5 Geometry are Concept of Line, Concept of Line Segment, Concept of Ray, Concept of Parallel Lines, Concept of Intersecting Lines, Concept of Points, Pairs of Lines - Transversal of Parallel Lines, Drawing the Perpendicular Bisector of a Line Segment, Constructing a Bisector of an Angle, Angles of Special Measures - 30°, 45°, 60°, 90°, and 120°, Concept of Angle - Arms, Vertex, Interior and Exterior Region, Types of Angles- Acute, Obtuse, Right, Straight, Reflex, Complete and Zero Angle., Complementary Angles, Supplementary Angles, Adjacent Angles, Concept of Linear Pair, Concept of Vertically Opposite Angles, Pairs of Lines - Transversal, Pairs of Lines - Angles Made by a Transversal.

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