Corresponding Angles
Corresponding Angles
|
The angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Corresponding Angles Axiom: If a transversal intersects two parallel lines, then each pair of corresponding angles are equal. Converse of Corresponding Angles Axiom: If a transversal intersects two lines such that a pair of corresponding angles is equal, then two lines are parallel to each other. |
 |
Illustration: Find the corresponding angle to a, c, g and f from the figure given below :
Solution:
Illustration: Prove that if a line is perpendicular to one of two given parallel lines, then it is also perpendicular to the other line.
Solution:
Given: PQ || RS, MN PQ at the point A.
To Prove: MN PQ at the point B.
Proof: PQ || RS and MN is a transversal, therefore
[ Corresponding Angles]
at the point B.
Or
Hence the proof.
Illustration: In the given figure, BA || ED and BC || EF. Show that .
Solution:
In the following diagram which are not a pair of corresponding angles.
| |||
| Right Option : C | |||
| View Explanation | |||
Find the angle correspond to Angle 3: | |||
| Right Option : D | |||
| View Explanation | |||
Find the value of x and y in the following diagram
| |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
