Class 7 Exam > Class 7 Questions > In two triangles, the three angles of one tri...
Start Learning for Free
In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?
- a)One triangle is an enlarged copy of other.
- b)The two triangles are necessarily congruent.
- c)The two triangles are congruent by A.A.A. congruency criterion.
- d)All of the above.
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In two triangles, the three angles of one triangle are correspondingly...
If the three angles of a triangle are congruent to corresponding angles of the other, it is an enlarged copy of the triangle.
Most Upvoted Answer
In two triangles, the three angles of one triangle are correspondingly...
Explanation:
In geometry, two triangles are said to be congruent if their corresponding sides and angles are equal. However, it is important to note that having corresponding equal angles does not necessarily make the triangles congruent.
Given:
We are given that the three angles of one triangle are correspondingly equal to three angles of another triangle.
Statement to be proved:
We need to determine which of the given options is a correct statement.
Option a) One triangle is an enlarged copy of the other:
This statement implies that one triangle is a scaled-up version of the other. In other words, the sides of one triangle are proportional to the sides of the other triangle. However, the given information does not provide any details about the sides of the triangles, so we cannot conclude that one triangle is an enlarged copy of the other based solely on the given information. Therefore, option a) is not a correct statement.
Option b) The two triangles are necessarily congruent:
This statement implies that the two triangles must be congruent based on the given information. However, having corresponding equal angles does not guarantee congruence. Additional information about the sides or other angles is required to determine congruence. Therefore, option b) is not a correct statement.
Option c) The two triangles are congruent by A.A.A. congruency criterion:
This statement suggests that the triangles are congruent based on the Angle-Angle-Angle (A.A.A.) congruency criterion. According to this criterion, if the three angles of one triangle are equal to the three angles of another triangle, the two triangles are congruent. Therefore, option c) is a correct statement.
Conclusion:
From the given options, only option c) is a correct statement. The two triangles are congruent by the A.A.A. congruency criterion.
In geometry, two triangles are said to be congruent if their corresponding sides and angles are equal. However, it is important to note that having corresponding equal angles does not necessarily make the triangles congruent.
Given:
We are given that the three angles of one triangle are correspondingly equal to three angles of another triangle.
Statement to be proved:
We need to determine which of the given options is a correct statement.
Option a) One triangle is an enlarged copy of the other:
This statement implies that one triangle is a scaled-up version of the other. In other words, the sides of one triangle are proportional to the sides of the other triangle. However, the given information does not provide any details about the sides of the triangles, so we cannot conclude that one triangle is an enlarged copy of the other based solely on the given information. Therefore, option a) is not a correct statement.
Option b) The two triangles are necessarily congruent:
This statement implies that the two triangles must be congruent based on the given information. However, having corresponding equal angles does not guarantee congruence. Additional information about the sides or other angles is required to determine congruence. Therefore, option b) is not a correct statement.
Option c) The two triangles are congruent by A.A.A. congruency criterion:
This statement suggests that the triangles are congruent based on the Angle-Angle-Angle (A.A.A.) congruency criterion. According to this criterion, if the three angles of one triangle are equal to the three angles of another triangle, the two triangles are congruent. Therefore, option c) is a correct statement.
Conclusion:
From the given options, only option c) is a correct statement. The two triangles are congruent by the A.A.A. congruency criterion.
Free Test
FREE
| Start Free Test |
Community Answer
In two triangles, the three angles of one triangle are correspondingly...
A is correct
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 two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer?
Question Description
In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? 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 two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer?.
In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? 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 two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer?.
Solutions for In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? 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 two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In two triangles, the three angles of one triangle are correspondingly equal to three angles of another triangle. Which of the following is a correct statement?a)One triangle is an enlarged copy of other. b)The two triangles are necessarily congruent.c)The two triangles are congruent by A.A.A. congruency criterion.d)All of the above.Correct answer is option 'A'. Can you explain this answer? 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