alternate interior angles मीनिंग इन हिंदी

उदाहरण वाक्य

1. First, if a transversal intersects two parallel lines, then the alternate interior angles are congruent.
2. As the proof only requires the use of Proposition 27 ( the Alternate Interior Angle Theorem ), it is a valid construction in absolute geometry.
3. Euclid's Proposition 27 states that if a transversal intersects two lines so that alternate interior angles are congruent, then the lines are parallel.
4. To prove proposition 29 assuming Playfair's axiom, let a transversal cross two parallel lines and suppose that the alternate interior angles are not equal.
5. In the figure at the right, all of the orange-shaded angles are congruent to each other and all of the green-shaded angles are congruent to each other, because vertical angles are congruent and alternate interior angles formed by a transversal cutting parallel lines are congruent.
6. The Euclidean proof of the HSEAT ( and simultaneously the result on the sum of the angles of a triangle ) starts by constructing the line parallel to side " AB " passing through point " C " and then using the properties of corresponding angles and alternate interior angles of parallel lines to get the conclusion as in the illustration.
7. By the alternate interior angle theorem, " l " is parallel to " n " . ( The alternate interior angle theorem states that if lines a and b are cut by a transversal t such that there is a pair of congruent alternate interior angles, then a and b are parallel . ) The foregoing construction, and the alternate interior angle theorem, do not depend on the parallel postulate and are therefore valid in absolute geometry.
8. By the alternate interior angle theorem, " l " is parallel to " n " . ( The alternate interior angle theorem states that if lines a and b are cut by a transversal t such that there is a pair of congruent alternate interior angles, then a and b are parallel . ) The foregoing construction, and the alternate interior angle theorem, do not depend on the parallel postulate and are therefore valid in absolute geometry.
9. By the alternate interior angle theorem, " l " is parallel to " n " . ( The alternate interior angle theorem states that if lines a and b are cut by a transversal t such that there is a pair of congruent alternate interior angles, then a and b are parallel . ) The foregoing construction, and the alternate interior angle theorem, do not depend on the parallel postulate and are therefore valid in absolute geometry.
10. By the alternate interior angle theorem, " l " is parallel to " n " . ( The alternate interior angle theorem states that if lines a and b are cut by a transversal t such that there is a pair of congruent alternate interior angles, then a and b are parallel . ) The foregoing construction, and the alternate interior angle theorem, do not depend on the parallel postulate and are therefore valid in absolute geometry.