Class 9 Exam > Class 9 Questions > A campaign is started by volunteers of mathem...
Start Learning for Free
A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.?
Most Upvoted Answer
A campaign is started by volunteers of mathematical club to boost scho...
Proof of ∆ABC ≅ ∆CEA given ∆ABC ≅ ∆ECD and BC = AE
Step 1: Draw a diagram
Before proving this, let's draw a diagram to understand the given conditions and what we need to prove.
Step 2: Write down the given conditions
The given conditions are:
- ∆ABC ≅ ∆ECD
- BC = AE
Step 3: Identify the common sides and angles
Since ∆ABC ≅ ∆ECD, we know that the corresponding angles and sides are equal. Therefore, we can identify the following common sides and angles:
- ∠ABC = ∠ECD (corresponding angles)
- ∠BCA = ∠CDE (corresponding angles)
- BC = CD (corresponding sides)
- AC = CE (corresponding sides)
Step 4: Prove ∆ABC ≅ ∆CEA
We need to prove that ∆ABC ≅ ∆CEA. We can do this by showing that all corresponding sides and angles are equal. Let's start with the sides:
- AB = CD (corresponding sides, since ∆ABC ≅ ∆ECD)
- BC = BC (common side)
- AC = CE (corresponding sides, since BC = AE)
Therefore, we have shown that all corresponding sides are equal. Now, let's move on to the angles:
- ∠ABC = ∠ECD (corresponding angles, since ∆ABC ≅ ∆ECD)
- ∠BCA = ∠CDE (corresponding angles, since ∆ABC ≅ ∆ECD)
- ∠ACB = ∠AEC (vertical angles)
Therefore, we have shown that all corresponding angles are equal.
Since all corresponding sides and angles are equal, we can conclude that ∆ABC ≅ ∆CEA.
Step 5: Conclusion
Therefore, we have proven that ∆ABC ≅ ∆CEA given ∆ABC ≅ ∆ECD and BC = AE. This implies that the logo made by the volunteers of the mathematical club is valid, and the campaign can continue to promote cleanliness and hygiene in the school and its surrounding areas under the Swachh Bharat Abhiyan.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.?
Question Description
A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.?.
A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.?.
Solutions for A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? 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 A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? defined & explained in the simplest way possible. Besides giving the explanation of
A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.?, a detailed solution for A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? has been provided alongside types of A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? theory, EduRev gives you an
ample number of questions to practice A campaign is started by volunteers of mathematical club to boost school and its surrounding under Swachh Bharat Abhiyan. They made their own logo for this campaign. If it is given that ∆ABC ≅ ∆ECD, BC = AE. Prove that ∆ABC ≅ ∆CEA.? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup