#### Chapters

## Chapter 5: Geometry

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

Name the pairs of adjacent angles

Find the angle ∠JIL from the given figure

Find the angles ∠GEH from the given figure

Given that AB is a straight line. Calculate the value of x° in the following cases

Given that AB is a straight line. Calculate the value of x° in the following cases

Given that AB is a straight line. Calculate the value of x° in the following cases

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

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

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?

In the given figure, identify any two pairs of adjacent angles

In the given figure, identify two pairs of vertically opposite angles

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

From the given figure, find the missing angle

Find the angles x° and y° in the figure shown

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

Adjective angles have

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.

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

Opposite angles

Adjacent angles

Linear pair

Supplementary angles

Vertically opposite angles are

not equal in measure

complementary

supplementary

equal in measure

The sum of all angles at a point is

360°

180°

90°

0°

The measure of ∠BOC is

90°

180°

80°

100°

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

From the figure name the marked pair of angles

From the figure name the marked pair of angles

From the figure name the marked pair of angles

From the figure name the marked pair of angles

From the figure name the marked pair of angles

From the figure name the marked pair of angles

Find the measure of angle x in the following figure

Find the measure of angle x in the following figure

Find the measure of angle x in the following figure

Find the measure of angle x in the following figure

Find the measure of angle x in the following figure

Find the measure of angle y in the following figure

Find the measure of angle y in the following figure

Find the measure of angle y in the following figure

Find the measure of angle y in the following figure

Find the measure of angle z in the following figure

Find the measure of angle z in the following figure

Find the measure of angle z in the following figure

Find the measure of angle z in the following figure

Find the value of angle a in the following figure

Find the value of angle a in the following figure

Find the value of angle a in the following figure

Find the value of angle a in the following figure

Find the value of angle x in the following figure

Find the value of angle x in the following figure

Anbu has marked the angles as shown in the following figure. Check whether it is correct. Give reason

Anbu has marked the angles as shown in the following figure. Check whether it is correct. Give reason

Mention two real life situations where we use parallel lines

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

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

parallel lines

transversal

non-parallel lines

Intersecting lines

In the given figure angles a and b are

alternate exterior angles

corresponding angles

alternate interior angles

vertically opposite angles

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.

In the diagram what is the value of angle x?

43°

44°

132°

134°

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

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

8 cm

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

7 cm

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

5.6 cm

10.4 cm

58 mm

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

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

60°

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

100°

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

90°

48°

110°

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

Construct the following angle using ruler and compass only

60°

Construct the following angle using ruler and compass only

120°

Construct the following angle using ruler and compass only

30°

Construct the following angle using ruler and compass only

90°

Construct the following angle using ruler and compass only

45°

Construct the following angle using ruler and compass only

150°

Construct the following angle using ruler and compass only

135°

### 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

Find the value of x if ∠AOB is a right angle

In the given figure, find the value of x

Find the value of x, y and z

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

Using the figure, answer the following question and justify your answer

Is ∠1 adjacent to ∠2?

Using the figure, answer the following question and justify your answer

Is ∠AOB adjacent to ∠BOE?

Using the figure, answer the following question and justify your answer

Does ∠BOC and ∠BOD form a linear pair?

Using the figure, answer the following question and justify your answer

Are the angles ∠COD and ∠BOD supplementary?

Using the figure, answer the following question and justify your answer

Is ∠3 vertically opposite to ∠1?

In the figure POQ, ROS and TOU are straight lines. Find the x°

In the figure AB is parallel to DC. Find the value of ∠1 and ∠2. Justify your answer

In the figure AB is parallel to CD. Find x, y and z

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?

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

#### Challenge Problems

Find the value of y

Find the value of z

Find the value of x and y if RS is parallel to PQ

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

In the figure, the lines GH and IJ are parallel. If ∠1 = 108° and ∠2 = 123°, find the value of x, y and z

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

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

In the figure AB in parallel to CD. Find x°, y° and z°

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

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

## Chapter 5: Geometry

## 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.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Tamil Nadu Board Samacheer Kalvi textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

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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