Which diagram shows lines that must be parallel lines cut by a transversal?

Question

Anu Bhardwaj · Accepted Answer

The marks on $AB$ and $BC$ show $AB=BC$ , so $B$ is the midpoint of $AC$ . The line $DE$ passes through $B$ and is perpendicular to $AC$ , so $DE$ is the perpendicular bisector of $AC$ . Any point on it is equidistant from $A$ and $C$ , hence $EA = EC$ . Given $CE=12$ , we get $AE=12$ units.

Trigonometry

Trigonometry

Anu Bhardwaj

Answer

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