Alternate angles are always equal

Corresponding angles are always equal

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

Read the following statements which are taken as axioms (i) If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal. (ii) If a transversal intersect two parallel lines, then alternate interior angles are equal. Is this system of axioms consistent ? Justify your answer.

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.

Q2 is always equal to

Theorem 6.2 : If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

The number of electrons and proton are always equal in all atom

Answer the following as true or false: Two colliner vectors are always equal in magnitude.

Median is always equal to

The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?