Transversal; Corresponding Angles and Alternate Interior Angles

Some Basic Definition-Collinear And Non Collinear Points |Angles & Its Types|Complementary And Supplementary Angles|Relation Between Two Angles-Adjacent Angles|Linear Pair Of Angles,Vertically Opposite Angles|Axioms |Theorem |Transversal |Corresponding Angles,Alternate Interior Angles,Co-interior Angles

Point OF angle || Adjacent angle || Linear pair OF angle || Vertical-opposite angle|| Transversal lines Corresponding angle|| Alternate Interior angle || Co-interior|| Exterior angle || Example discussion

Lines And Angles|Linear Pair Axioms|Theorem (Vertically Opposite Angles)|Axioms (Corresponding Angles)|Theorem 1 (Alternate Interior Angles)|Theorem 2 (Alternate Interior Angles)

In the adjoining figure,identify ( i ) the pairs of corresponding angles.(ii) the pairs of alternate interior angles.(iii) the pairs of interior angles on the same side of the transversal.(iv) the vertically opposite angles.

From the Figure , choose the correct option. (i) angle1 & angle8 are alternate angles (ii) angle1 & angle7 are alternate angles (iii) angle3 & angle5 are alternate angles (iv) angle4 & angle8 are corresponding angles (v) angle2 & angle6 are not corresponding angles. (vi) angle3 & angle8 are interior angles on the same side of the transversal.

In Fig. 62, line l||m\ a n d\ n is a transversal. If /_1=40^0, find all the angles and check that all corresponding angles and alternate angles are equal.

Interior of an angle

If two lines are intersected by a transversal; the bisectors of any pair of alternate interior angles are parallel.

If two parallel lines are cut by a transversal, then the alternate interior angles are equal

Which of the following statements are true (T) and which are false (F)? Give reasons. (i)If two lines are intersected by a transversal, then corresponding angles are equal. (ii)If two parallel lines are intersected by a transversal, then alternate interior angles are equal. (iii)Two lines perpendicular to the same line are perpendicular to each other. (iv)Two lines parallel to the same line are parallel to each other. (v)If two parallel lines are intersected by a transversal, then the interior angle on the same side of the transversal are equal.