Question

Draw a line AB of length 8 cm. At each end of this line segment, draw a line perpendicular to AB. Are these two lines parallel? State Yes or No.

Answer 1

Hint: In this question remember to use the concept of construction and also remember that when two lines which do not meet at any point in the plane are parallel lines, use this information to approach the solution.

Complete step-by-step answer:
Let us draw a line segment AB of length 8 cm so the diagram will be

and now drawing two perpendiculars CA and DB at end A and B respectively of this line segment as shown in the figure below

Now we know that the pair of lines which do not meet each other at any point in the plane are named as the parallel lines
Clearly through the above figure, we can see that the lines CA and DB are parallel to each other since these two are making an angle of ${180^ \circ }$ to each other.
Therefore, Yes, the two lines which are drawn perpendicular to the line segment AB are parallel to each other.

Note: These types of question can be solved by using the diagram and constructing the diagram for each step and labeling the information in diagram and to construct the perpendicular lines at the end of A and B we constructed the lines ${90^ \circ }$with respect to the ends of AB.