Class 7 Exam > Class 7 Questions > in the figure it is given that angle A equal ...
Start Learning for Free
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE
? Related: Representation of Congruence
Most Upvoted Answer
in the figure it is given that angle A equal to angle C and a b equal ...
Given: Angle A = Angle C, AB = BC
To prove: Angle ABD = Angle CBE
Proof:
Step 1: Draw a line segment BD and CE intersecting at point E.
Step 2: Since AB = BC, we can say that triangle ABC is an isosceles triangle.
Step 3: Hence, we can say that Angle BAC = Angle BCA.
Step 4: Also, Angle A = Angle C (Given)
Step 5: From steps 3 and 4, we can say that angle BAC = angle BCA = angle A = angle C.
Step 6: In triangle ABD, we have angle ABD + angle A = 180° (Sum of angles in a triangle)
Step 7: Similarly, in triangle BCE, we have angle CBE + angle B = 180°
Step 8: From steps 5 and 6, we can say that angle ABD + angle BAC = 180° and angle CBE + angle BCA = 180°.
Step 9: Subtracting angle BAC and angle BCA from both the equations in step 8, we get angle ABD = angle CBE.
Step 10: Hence, we have proved that angle ABD = angle CBE.
Conclusion: Therefore, we can conclude that if angle A = angle C and AB = BC, then angle ABD = angle CBE.
To prove: Angle ABD = Angle CBE
Proof:
Step 1: Draw a line segment BD and CE intersecting at point E.
Step 2: Since AB = BC, we can say that triangle ABC is an isosceles triangle.
Step 3: Hence, we can say that Angle BAC = Angle BCA.
Step 4: Also, Angle A = Angle C (Given)
Step 5: From steps 3 and 4, we can say that angle BAC = angle BCA = angle A = angle C.
Step 6: In triangle ABD, we have angle ABD + angle A = 180° (Sum of angles in a triangle)
Step 7: Similarly, in triangle BCE, we have angle CBE + angle B = 180°
Step 8: From steps 5 and 6, we can say that angle ABD + angle BAC = 180° and angle CBE + angle BCA = 180°.
Step 9: Subtracting angle BAC and angle BCA from both the equations in step 8, we get angle ABD = angle CBE.
Step 10: Hence, we have proved that angle ABD = angle CBE.
Conclusion: Therefore, we can conclude that if angle A = angle C and AB = BC, then angle ABD = angle CBE.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?
Question Description
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?.
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?.
Solutions for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? defined & explained in the simplest way possible. Besides giving the explanation of
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?, a detailed solution for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? has been provided alongside types of in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? theory, EduRev gives you an
ample number of questions to practice in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 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