question_answer

\[\text{p }\!\!|\!\!\text{  }\!\!|\!\!\text{ q}\text{.}\] \[\text{C}\] and \[\text{D}\] are two points on p and M and N are two points on q, such that M and N are exactly opposite to C and D respectively. Identify the true statement.

A) CDNM forms a rectangle.

B) \[\overline{\text{CM}}\text{=}\overline{\text{DN}}\]

C) Both [a] and [b]  

D) Neither [a] nor [b]

Correct Answer: C

Solution :

From the figure and the given data, clearly, CDNM is a rectangle. Also \[\overline{\text{CM}}\text{=}\overline{\text{DN}}\] as the distance between two parallel lines is the same throughout.