Question

O is a point on line AB, OC and OD are perpendicular drawn on AB in opposite directions. Prove that OC and OD lie in a  straight line. 

Solution

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Answer 1

Given : AB is line where O is point on it . OC and OD are perpendicular on AB in opposite directions.

To prove : CD line is lie on AB in straight

Solution : In line AB

OC and OD (each 90°)

OC+OD = AB

90°+90°=180° ( AB is line )

Thus, CD is lie on AB in a straight line.