angles in same segment Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/angles-in-same-segment/ Mathematics is like music - Enjoy it!!! Sat, 05 Sep 2020 03:29:42 +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 angles in same segment Archives – Mathemafia http://sh016.global.temp.domains/~mathemaf/tag/angles-in-same-segment/ 32 32 Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 9 https://mathemafia.com/class-9-chapter-10-circles-exercise-10-5-question-9/ Fri, 04 Sep 2020 03:14:00 +0000 http://sh016.global.temp.domains/~mathemaf/?p=1653 Question 9: Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ACP = ∠QCD.…

The post Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 9 appeared first on Mathemafia.

]]>

Question 9: Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ACP = ∠QCD.

Question 8
Question 10

Prerequisite

Looking at the given figure, this seems to be a very difficult question to solve. But it is exactly opposite. A very easy question to solve. All you need is have a close look at the given figure and apply following theorems.

Theorem 10.9: Angles in the same segment of a circle are equal.

 

Theorem 6.1: If two lines intersect each other, then the vertically opposite angles are equal.

Chapter 10 – Circles

​

Theorems

Theorem 10.1

Theorem 10.2

Theorem 10.3

Theorem 10.4

Theorem 10.5

Theorem 10.6

Theorem 10.7

Theorem 10.8

Theorem 10.9

Theorem 10.10

Theorem 10.11

Theorem 10.12

Exercise 10.1

Question 1 & 2

Exercise 10.2

Question 1

Question 2

Exercise 10.3

Question 1

Question 2

Question 3

Exercise 10.4

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Exercise 10.5

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Examples

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

The post Class 9 | Chapter 10 | Circles | Exercise 10.5 | Question 9 appeared first on Mathemafia.

]]>