Question

How do I get to the answer of this question?

Answer 1

The diagram shows a triangle AEC with a line BD drawn between lines AC and EC.

The information provided shows that;

`\begin{gathered} BC=DC \\ AB=ED \end{gathered}`

That would also mean;

`AB+BC=ED+DC`

However, angle E and angle C cannot have the same measure since the sides AE and AC are not equal (as shown by the markings).

Also, line AC has a single and a double mark (combined), and so it cannot be equal to AB and ED which both have double marks.

Also the markings show that the following ratios can be determined;

`(BC)/(AB)=(DC)/(ED)`

The existence of this ratio shows that line DB is actually parallel to line AE.

Note that there is not sufficient information to show that line BC is actually half of line AC. The markings only show that they both are of different measures.

ANSWER:

Option A is ALWAYS true