Class 10 Exam > Class 10 Questions > Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar t...
Start Learning for Free
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.?
Most Upvoted Answer
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the...
Explanation:
To determine which statement is not true, we need to examine the given conditions and properties of similar triangles.
Given:
- ΔABC ~ ΔEDF (Triangle ABC is similar to Triangle EDF)
- ΔABC is not similar to ΔDEF (Triangle ABC is not similar to Triangle DEF)
Similar Triangles:
When two triangles are similar, their corresponding sides are proportional and their corresponding angles are equal.
Now, let's analyze each statement:
(a) BC · EF = AC · FD
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AC = EF/FD. Therefore, BC · EF = AC · FD holds true.
(b) AB · EF = AC · DE
This statement is not necessarily true. It cannot be concluded solely based on the given information. The lengths of AB, AC, EF, and DE are not directly related to the similarity of triangles. Hence, statement (b) is not always true.
(c) BC · DE = AB · EF
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AB = DE/EF. Therefore, BC · DE = AB · EF holds true.
(d) BC · DE = AB · FD
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AB = DE/FD. Therefore, BC · DE = AB · FD holds true.
Conclusion:
Based on the analysis, the statement (b) AB · EF = AC · DE is not necessarily true when ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF.
To determine which statement is not true, we need to examine the given conditions and properties of similar triangles.
Given:
- ΔABC ~ ΔEDF (Triangle ABC is similar to Triangle EDF)
- ΔABC is not similar to ΔDEF (Triangle ABC is not similar to Triangle DEF)
Similar Triangles:
When two triangles are similar, their corresponding sides are proportional and their corresponding angles are equal.
Now, let's analyze each statement:
(a) BC · EF = AC · FD
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AC = EF/FD. Therefore, BC · EF = AC · FD holds true.
(b) AB · EF = AC · DE
This statement is not necessarily true. It cannot be concluded solely based on the given information. The lengths of AB, AC, EF, and DE are not directly related to the similarity of triangles. Hence, statement (b) is not always true.
(c) BC · DE = AB · EF
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AB = DE/EF. Therefore, BC · DE = AB · EF holds true.
(d) BC · DE = AB · FD
This statement is true according to the similarity of triangles. In similar triangles, the ratio of corresponding side lengths is constant. So, we can say that BC/AB = DE/FD. Therefore, BC · DE = AB · FD holds true.
Conclusion:
Based on the analysis, the statement (b) AB · EF = AC · DE is not necessarily true when ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.?
Question Description
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.?.
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.?.
Solutions for Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? defined & explained in the simplest way possible. Besides giving the explanation of
Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.?, a detailed solution for Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? has been provided alongside types of Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? theory, EduRev gives you an
ample number of questions to practice Q.3. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? (a) BC · EF = AC · FD (b) AB · EF = AC · DE (c) BC · DE = AB · EF (d) BC · DE = AB · FD Correct Answer is option (b) I thing option C is currect. This question is class 10 examplar of your portal.answar given is incorrect. Please check and reply.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
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