Question

In the given diagram, line segment BDbisects angle ABC. Segment BDis extended to E, where line segment ECis parallel to line segment AB.Write a two-column proof to show that AB/AD=BC/DC

Answer 1

EC = BC; property of isosceles triangle

Hope this helps!

Step-by-step explanation:

Answer 2

Step-by-step explanation:

From the question , we will utilize the concept of isosceles triangles

Concept:

The isosceles triangle theorem states that the angles opposite to the equal sides of an isosceles triangle are equal in measurement. So, in an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C.

From the steps, we can see that

`\angle2\cong\angle5(substituting\text{ property of congruency\rparen}`

Hence,

We can cconclude that the final answer is

`EC=BC(properties\text{ of isosceles triangles\rparen}`

OPTION A is the correct answer