Note: The ratio of any two corresponding sides in two equiangular triangles is always the same.
Corresponding Angles
The angles on the same side of a transversal line are known as the corresponding angles, if both lie either above the two lines or below the two lines. i.e.,
(i) ∠1and ∠5
(ii) ∠2 and ∠6
(iii) ∠4 and ∠8
(iv) ∠3 and ∠7
Alternate Interior Angles
The following pairs of angles are called pairs of alternate interior angles
(i) ∠3 and ∠5
(ii) ∠2and ∠8
Consecutive Interior Angles
The pairs of interior angles on same side of the transversal line are called pair of consecutive interior angles.
(i) ∠2 and ∠5
(ii) ∠3 and ∠8
Alternate Exterior Angles
The following pair of angles are called alternate exterior angles
(i) ∠1and ∠7
(ii) ∠4and∠6
Vertically Opposite Angles
The following pair of angles are called vertically opposite angles.
(i) ∠1and ∠3
(ii) ∠2and ∠4
(iii) ∠5 and ∠7
(iv) ∠6and ∠8
AAA Similarity
115 videos478 docs129 tests

1. What are the different types of triangles? 
2. How do you find the area of a triangle? 
3. What is the Pythagorean theorem? 
4. How do you determine if three side lengths form a triangle? 
5. How can you prove two triangles are congruent? 
115 videos478 docs129 tests


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