Class 9 Exam > Class 9 Questions > In ΔABC and ΔPBC, AB = BP and AC = ...
Start Learning for Free
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:
- a)Yes, by ASA Congruence theorem they are congruent
- b)Yes, by SAS Congruence theorem they are congruent
- c)No, they are not congruent
- d)Yes, by SSS Congruence theorem they are congruent
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether t...
Given that AB = BP and AC = PC, we need to determine whether triangles ABC and PBC are congruent or not. Let's analyze the options one by one.
a) Yes, by ASA Congruence theorem they are congruent.
According to the ASA (Angle-Side-Angle) Congruence theorem, two triangles are congruent if they have two corresponding angles and the included side equal. However, in this case, we only know that the corresponding sides are equal, but we don't have any information about the angles. Therefore, we cannot conclude that the triangles are congruent using the ASA Congruence theorem.
b) Yes, by SAS Congruence theorem they are congruent.
According to the SAS (Side-Angle-Side) Congruence theorem, two triangles are congruent if they have two corresponding sides and the included angle equal. In this case, we have AB = BP and AC = PC, which are the corresponding sides, but we don't have any information about the included angle. Therefore, we cannot conclude that the triangles are congruent using the SAS Congruence theorem.
c) No, they are not congruent.
This option suggests that the triangles are not congruent without providing any reasoning. We cannot simply say that the triangles are not congruent without any valid justification.
d) Yes, by SSS Congruence theorem they are congruent.
According to the SSS (Side-Side-Side) Congruence theorem, two triangles are congruent if they have three corresponding sides equal. In this case, we have AB = BP and AC = PC, which are the corresponding sides. Additionally, we know that BC = BC since it is a common side. Therefore, all three corresponding sides of the triangles are equal, satisfying the condition for congruence by the SSS Congruence theorem. Hence, we can conclude that the triangles ABC and PBC are congruent.
In conclusion, the correct answer is option 'd'. The triangles ABC and PBC are congruent by the SSS Congruence theorem as all three corresponding sides are equal.
a) Yes, by ASA Congruence theorem they are congruent.
According to the ASA (Angle-Side-Angle) Congruence theorem, two triangles are congruent if they have two corresponding angles and the included side equal. However, in this case, we only know that the corresponding sides are equal, but we don't have any information about the angles. Therefore, we cannot conclude that the triangles are congruent using the ASA Congruence theorem.
b) Yes, by SAS Congruence theorem they are congruent.
According to the SAS (Side-Angle-Side) Congruence theorem, two triangles are congruent if they have two corresponding sides and the included angle equal. In this case, we have AB = BP and AC = PC, which are the corresponding sides, but we don't have any information about the included angle. Therefore, we cannot conclude that the triangles are congruent using the SAS Congruence theorem.
c) No, they are not congruent.
This option suggests that the triangles are not congruent without providing any reasoning. We cannot simply say that the triangles are not congruent without any valid justification.
d) Yes, by SSS Congruence theorem they are congruent.
According to the SSS (Side-Side-Side) Congruence theorem, two triangles are congruent if they have three corresponding sides equal. In this case, we have AB = BP and AC = PC, which are the corresponding sides. Additionally, we know that BC = BC since it is a common side. Therefore, all three corresponding sides of the triangles are equal, satisfying the condition for congruence by the SSS Congruence theorem. Hence, we can conclude that the triangles ABC and PBC are congruent.
In conclusion, the correct answer is option 'd'. The triangles ABC and PBC are congruent by the SSS Congruence theorem as all three corresponding sides are equal.
Free Test
FREE
| Start Free Test |
Community Answer
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether t...
BC = BC ( common )AB = BP ( given )AC = PC ( given )Therefore , by sss triangle ABC congruent to trianglePBC
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
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer?
Question Description
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? 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 In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer?.
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? 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 In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? 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 ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In ΔABC and ΔPBC, AB = BP and AC = PC. Can you say whether the triangles are congruent to each other or not:a)Yes, by ASA Congruence theorem they are congruentb)Yes, by SAS Congruence theorem they are congruentc)No, they are not congruentd)Yes, by SSS Congruence theorem they are congruentCorrect answer is option 'D'. Can you explain this answer? 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