Triangles Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/triangles/ Mathematics is like music - Enjoy it!!! Fri, 09 May 2025 11:32:54 +0000 en-US hourly 1 https://wordpress.org/?v=7.1 https://mathemafia.com/wp-content/uploads/2020/08/cropped-M__Logo__SM-1-32x32.png Triangles Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/triangles/ 32 32 Exercise 6.1 (NCERT) – Triangles, Class 10 – All Solutions https://mathemafia.com/exercise-6-1-ncert-triangles-class-10-all-solutions/ Fri, 09 May 2025 11:26:35 +0000 https://mathemafia.com/?p=19212 Exercise 6.1, chapter 6, Triangles, Class 10 - Complete solutions of all questions of first exercise of chapter 6, class 10, triangles. The chapter is super easy and takes just 5 minutes to solve completely.

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Exercise 6.1 (NCERT) – Triangles, Class 10

Chapter 6 Exercise 6.1 Class 10

Below are the Quick links for all questions of Exercise 6.1, Triangles, Class 10. Click a link to view the solution of corresponding question.

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Below are the solutions of every question of exercise 6.1 of chapter 6, Triangles, NCERT of class 10. YouTube video tutorial of every question is also embedded along with the written solution.  

Question 1

Fill in the blanks using the correct word given in brackets :

(i) All circles are similar.

(ii) All squares are similar.

(iii) All equilateral triangles are similar.

(iv) Two polygons of the same number of sides are similar, if

       (a) their corresponding angles are equal and

       (b) their corresponding sides are proportional.

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Complete Exercise – Video Tutorial

Question 2

Give two different examples of pair of

(i) similar figures

  • All circles are similar
  • All squares are similar
  • All equilateral triangles are similar

(ii) non-similar figures

  • A circle and a square
  • A square and a triangle
  • A right angled triangle and an equilateral triangle

Question 3

State whether the following quadrilaterals are similar or not:

No, because all the corresponding angles in the figures are not equal. 

Detail (Optional): All angles of a square are equal to 90 degrees where all of the angles in the rhombus are not equal to 90 degree. Hence the figures are not similar. 

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]]> Class 10 | Chapter 6 | All Solutions | Triangles https://mathemafia.com/class-10-chapter-06-all-solutions-triangles/ Fri, 17 Dec 2021 07:38:09 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7359 This playlist covers all the questions, concepts and examples of chapter 6 (Triangles) of class 10, NCERT book. Click a thumbnail to watch the tutorial.  Watch complete chapter on YouTube

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This playlist covers all the questions, concepts and examples of chapter 6 (Triangles) of class 10, NCERT book. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube

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]]> Class 9 | Chapter 7 | All Solutions | Triangles https://mathemafia.com/class-9-chapter-07-all-solutions-triangles/ Thu, 16 Dec 2021 15:34:06 +0000 http://sh016.global.temp.domains/~mathemaf/?p=7186 This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. Watch complete chapter on YouTube

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This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube

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]]> Class 9 | Chapter 7 | Triangles | Example 9 https://mathemafia.com/class-9-chapter-7-triangles-example-9/ Wed, 16 Sep 2020 02:53:52 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1994 Example 9: D is a point on side BC of ∆ ABC such that AD = AC (see Fig. 7.47). Show that AB > AD. Example 8 Class 9 | Home

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Example 9: D is a point on side BC of ∆ ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

Example 8
Class 9 | Home

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 8 https://mathemafia.com/class-9-chapter-7-triangles-example-8/ Wed, 16 Sep 2020 02:53:48 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1993 Example 8: P is a point equidistant from two lines l and m intersecting at point A (see Fig. 7.38). Show that the line AP bisects the angle between them. Example 7 Example 9

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Example 8: P is a point equidistant from two lines l and m intersecting at point A (see Fig. 7.38). Show that the line AP bisects the angle between them.

Example 7
Example 9

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 7 https://mathemafia.com/class-9-chapter-7-triangles-example-7/ Wed, 16 Sep 2020 02:53:43 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1992 Example 7: AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular…

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Example 7: AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular bisector of AB.

Example 6
Example 8

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 6 https://mathemafia.com/class-9-chapter-7-triangles-example-6/ Wed, 16 Sep 2020 02:53:39 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1991 Example 6: In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE. Example 5 Example 7

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Example 6: In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.

Example 5
Example 7

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 5 https://mathemafia.com/class-9-chapter-7-triangles-example-5/ Wed, 16 Sep 2020 02:53:34 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1990 Example 5: E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see Fig. 7.28). Show that BF = CE. Example 4 Example 6

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Example 5: E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC (see Fig. 7.28). Show that BF = CE.

Example 4
Example 6

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 4 https://mathemafia.com/class-9-chapter-7-triangles-example-4/ Wed, 16 Sep 2020 02:53:28 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1989 Example 4: In ∆ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and ∆ ABC is isosceles. Example 3 Example 5

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Example 4: In ∆ ABC, the bisector AD of ∠ A is perpendicular to side BC (see Fig. 7.27). Show that AB = AC and ∆ ABC is isosceles.

Example 3
Example 5

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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]]> Class 9 | Chapter 7 | Triangles | Example 3 https://mathemafia.com/class-9-chapter-7-triangles-example-3/ Wed, 16 Sep 2020 02:53:24 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1988 Example 3: Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ∆AOB ≅ ∆DOC (ii) O is also the mid-point of BC. Example 2 Example 4

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Example 3: Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD (see Fig. 7.15). Show that (i) ∆AOB ≅ ∆DOC (ii) O is also the mid-point of BC.

Example 2
Example 4

Chapter 7 – Triangles

This playlist covers all the questions, concepts, theorems and examples of chapter 7 (Triangles) of class 9, NCERT textbook. Click a thumbnail to watch the tutorial. 

Watch complete chapter on YouTube
​

Theorems

Theorem 7.1

Theorem 7.2

Theorem 7.3

Theorem 7.4

Theorem 7.5

Theorem 7.6

Theorem 7.7

Theorem 7.8

Exercise 7.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.2

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Exercise 7.3

Question 1

Question 2

Question 3

Question 4

Question 5

Exercise 7.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

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