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Sati [7]
2 years ago
3

In the given diagram, line segment BDbisects angle ABC. Segment BDis extended to E, where line segment ECis parallel to line seg

ment AB.Write a two-column proof to show that AB/AD=BC/DC

Mathematics
2 answers:
zavuch27 [327]2 years ago
7 0

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

olga55 [171]2 years ago
7 0

Answer:

<em>EC = BC;  </em>property of isosceles triangle

Hope this helps!

Step-by-step explanation:

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