133k views
0 votes
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-example-1

2 Answers

4 votes

Answer:

EC = BC; property of isosceles triangle

Hope this helps!

Step-by-step explanation:

In the given diagram, line segment BDbisects angle ABC. Segment BDis extended to E-example-1
User Tbehunin
by
8.3k points
3 votes

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

User Riley Lark
by
8.0k points

Related questions

1 answer
2 votes
80.9k views
asked May 22, 2020 43.4k views
Cnoon asked May 22, 2020
by Cnoon
7.9k points
2 answers
1 vote
43.4k views