Class 9 Exam > Class 9 Questions > In the given figure if AC equal BD then prove...
Start Learning for Free
In the given figure if AC equal BD then prove that AB equal CD?
Most Upvoted Answer
In the given figure if AC equal BD then prove that AB equal CD?
Hloo ur question is not clear as ur FigUre is misSing. Post ur question again ur figure as ur with DP nd we will trY do get baCk to uS::: Kk
Community Answer
In the given figure if AC equal BD then prove that AB equal CD?
Statement:
In the given figure, if AC is equal to BD, then it can be proved that AB is equal to CD.
Proof:
To prove that AB is equal to CD, we can use the concept of congruent triangles.
Given:
AC is equal to BD.
Construction:
Let's construct line segment AD and line segment BC.
Proof Steps:
1. Draw line segment AD and line segment BC as shown in the figure.
2. Since AC is equal to BD (given), we can say that AD is congruent to BC.
3. Now, consider triangle ADB and triangle CDA.
4. By the reflexive property of congruence, we know that AD is congruent to AD and BD is congruent to AC.
5. From step 2, we can conclude that triangle ADB is congruent to triangle CDA by the side-side-side (SSS) congruence criterion.
6. When two triangles are congruent, their corresponding sides are equal in length.
7. Therefore, AB is equal to CD as they are corresponding sides of congruent triangles ADB and CDA.
Conclusion:
From the above proof, it is evident that if AC is equal to BD, then AB is equal to CD.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Question Description
In the given figure if AC equal BD then prove that AB equal CD? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In the given figure if AC equal BD then prove that AB equal CD? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure if AC equal BD then prove that AB equal CD?.
In the given figure if AC equal BD then prove that AB equal CD? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In the given figure if AC equal BD then prove that AB equal CD? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure if AC equal BD then prove that AB equal CD?.
Solutions for In the given figure if AC equal BD then prove that AB equal CD? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of In the given figure if AC equal BD then prove that AB equal CD? defined & explained in the simplest way possible. Besides giving the explanation of
In the given figure if AC equal BD then prove that AB equal CD?, a detailed solution for In the given figure if AC equal BD then prove that AB equal CD? has been provided alongside types of In the given figure if AC equal BD then prove that AB equal CD? theory, EduRev gives you an
ample number of questions to practice In the given figure if AC equal BD then prove that AB equal CD? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup