Answer :
Answer: Since corresponding angles of parallel lines cut by a transversal are congruent, ADE = ABC and AED = ACB. So, based on the AA criterion for similarity, ABC ~ ADE.
Step-by-step explanation: Sample answer from Edmentum! Hope It helps :)
The triangle ADE is similar to the triangle ABC.
What is a similar triangle?
Similar triangles are triangles whose corresponding lengths are not equal to each other, but their corresponding angles are equal.
The relation between triangle ADE and ABC is shown below:
It is given that the line segment DE is parallel to BC.
Since it is parallel to each other, we can say that the angles formed on both the line segments are equal to each other since they are corresponding angles. Angle A is common to both the triangles.
Therefore, we can say that the two triangles are similar because all the angles are the same in each triangle.
Therefore, we have found out that the triangle ADE is similar to the triangle ABC.
Learn more about similar triangles here: https://brainly.com/question/2644832
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