Answered

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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

In The Given Diagram Line Segment BDbisects Angle ABC Segment BDis Extended To E Where Line Segment ECis Parallel To Line Segment ABWrite A Twocolumn Proof To S class=

Sagot :

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

[tex]\angle2\cong\angle5(substituting\text{ property of congruency\rparen}[/tex]

Hence,

We can cconclude that the final answer is

[tex]EC=BC(properties\text{ of isosceles triangles\rparen}[/tex]

OPTION A is the correct answer

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